Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Graham Dixon-Lewis. 1 July 1922 −− 5 August 2010 Derek Bradley Biogr. Mems Fell. R. Soc. 2012 58, 33-53, published 14 March 2012 originally published online March 14, 2012 Supplementary data "Data Supplement" http://rsbm.royalsocietypublishing.org/content/suppl/2012/03 /14/rsbm.2011.0024.DC1 Email alerting service Receive free email alerts when new articles cite this article sign up in the box at the top right-hand corner of the article or click here To subscribe to Biogr. Mems Fell. R. Soc., go to: http://rsbm.royalsocietypublishing.org/subscriptions Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Graham Dixon-Lewis 1 July 1922 — 5 August 2010 Biogr. Mems Fell. R. Soc. 58, 33–53 (2012) Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Graham Dixon-Lewis 1 July 1922 — 5 August 2010 Elected FRS 1995 By Derek Bradley FRS FREng School of Mechanical Engineering, University of Leeds, Leeds LS2 9JT, UK Graham Dixon-Lewis was a physical chemist who pioneered both experimental and mathematical studies that revealed the nature of flames. His researches, based on what was known of the chemical kinetics of hydrogen oxidation, also showed the way forward for the mathematical modelling of laminar flame structures for other fuels. These models have proved invaluable in providing the input data also for the mathematical modelling of practical turbulent flames. Early years and school Graham Lewis was born on 1 July 1922, in Caerleon, Monmouthshire, the first of two children of Daniel Watson Lewis and Eleanor Jane Lewis (née Anderson). His father, the son of a road haulage contractor, was a colliery clerk and salesman. His mother was a nurse, descended from Scandinavian seafaring stock. Both her father and grandfather were master mariners. Her Danish grandfather settled in the UK after marriage to a Northumbrian farmer’s daughter. It was a tradition in the Anderson family that males be given the middle name of Dixon. For Graham, this oversight was ultimately rectified by a change in the family name to DixonLewis by deed poll in 1944. However, his younger sister had been christened Beryl Dixon, and consequently became Beryl Dixon Dixon-Lewis. She married and emigrated to South Africa in 1959. Graham’s upbringing in South Wales at the time of the 1930s Depression entailed strict financial management at home, but this was combined with strong encouragement for him to persevere and succeed. His mother possessed a wide range of useful general knowledge; books were available, but there was no radio. He attended Durham Road Elementary School at Newport and in 1933 gained an Entrance Scholarship to the Newport High School for Boys, where his education covered a broad range of subjects. He later wrote that this unpopular http://dx.doi.org/10.1098/rsbm.2011.0024 35 This publication is © 2012 The Royal Society Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 36 Biographical Memoirs c ompetitive selection process was mitigated in his community by the provision of an intermediate type of school with a separate entrance test. The effect was that of a comprehensive school for the whole community, with subdivision into separate, smaller institutions with defined objectives and of a size within which both staff and pupils could more readily identify. Between the ages of 11 and 17 years he was closely involved in the Boy Scout movement, eventually qualifying as a King’s Scout. In that capacity he was one of four scouts from Monmouthshire on the coronation route of King George VI. In sport, he was a middle distance runner (880 yards and 1 mile). He broke the school record for 880 yards in 1939, during the Monmouthshire school championships, and in the following year won the 1-mile race in the Monmouthshire versus Glamorgan schools competition. He wrote of the devotion of the teachers at Newport with warm affection. Two sixth-form teachers stood out in his memory: Mr E. P. Glover, who adroitly mixed mathematics with down-to-earth philosophy and Mr D. J. B. Summers, a former Gibbs scholar at Oxford who taught him chemistry. His Higher School Certificate subjects were pure and applied mathematics, physics, and chemistry. Mr Summers gave unstintingly of his free time to introduce advanced topics during his third, Oxford and Cambridge Scholarship, year. His teachers provided suitable material for further reading. In 1939 he was awarded a State Scholarship and in 1940 a Welsh Foundation Scholarship to become a Scholar of Jesus College, Oxford. Qualifications for this award included being a native of Monmouthshire. Oxford years From 1940 to 1944 his tutors at Oxford were L. A. Woodward DPhil Leipzig, and D. L. Chapman FRS, both eminent physical chemists. Chapman’s first paper, ‘On the rate of explosion in gases’ (Chapman 1899), had brought him international renown. It presented the first sound theoretical treatment of what is now called a detonation (although this term was not used in the paper). As an explosion develops, its velocity is continually changing until the wave becomes permanent and of uniform velocity. J. W. (Jack) Linnett FRS, in his contribution to Bowen’s biographical memoir on Chapman (Bowen 1958), wrote that the key to deriving this velocity was Chapman’s assumption that it must be a minimum because ‘no reason can be discovered for its changing to another permanent wave having a greater uniform velocity and a greater maximum pressure.’ Jouguet, quite independently, later made a similar analysis and, today, almost every paper on detonation refers to the Chapman–Jouguet velocity. Calculation of that velocity requires values of specific heats at high temperatures and pressures, and Chapman derived some of these from experimental values of the measured velocities. One of Chapman’s colleagues referred to ‘his gift of winning affection and respect, owing something to his gentleness of manner and to his, artless, unaffected nature’: a not inappropriate description of the mature Dixon-Lewis himself. Graham’s final-year project in the Chemistry Honours School was related to the prevention of muzzle flash from guns. This brought him into contact with another giant of British combustion chemistry, Jack Linnett, who had returned from a two-year period at Harvard in 1938, after working with, among others, G. B. Kistiakowsky (ForMemRS 1960). In 1939 most university scientists were being mobilized for the war effort. Professor C. N. (later Sir Cyril) Hinshelwood FRS led a team at Oxford working for the Respirator Sub-Committee of the Chemical Defence Board of the Ministry of Supply, and in 1943 Linnett became involved Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Graham Dixon-Lewis 37 Figure 1. ‘Lewis Graham’ (centre) after training for the Oxford and Cambridge Sports. (Source: Tatler and Bystander.) in the suppression of muzzle flash. The work entailed, among other things, firing shots into sandbags in the old Balliol laboratories, which extended beneath the Senior Common Room (Buckingham 1977). The project also involved investigating the chemical influences of additives on the rich flammability limit of hydrogen–air mixtures. At the culmination of these studies in 1944 Dixon-Lewis obtained a class II honours BA (Oxford) degree in chemistry. Further examination of the Part II thesis also gave entitlement to supplicate for BSc. He continued his earlier athletic pursuits at Oxford and was a member of the university team against Cambridge (figure 1), and of the Oxford and Cambridge team versus that of the Amateur Athletics Association in 1942. He was president of the College Athletics Club from 1942 to 1944, and secretary of the Hockey Clubs from 1942 to 1943. In addition he was, sequentially, secretary, treasurer, vice-president and president of the Leoline Jenkins Scientific Society, 1942–43. The Jesus College Magazine noted that the President gave a paper on ‘paper-making’. His postgraduate studies from 1944 to 1946 at Oxford were supervised by Linnett, and further consolidated his growing interest in flame and combustion. He was awarded DPhil (Oxford) in 1948 for his doctoral thesis ‘Some thermal properties of gases’. It covered detailed studies of flammability phenomena and the explosion limits of H2–CO–N2–O2 systems. He left Oxford in 1946 to take up a post as a research chemist at Courtaulds Fundamental Research Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 38 Biographical Memoirs Laboratory, Maidenhead, Berkshire. There, over three productive years, he researched on the kinetics of vinyl polymerization (1)*, in collaboration with Dr C. H. Bamford and Dr M. J. S. Dewar. He continued his collaboration with Linnett on H2–CO–air limits of inflammability (2) and H2–CO explosion limits (3, 4), up to 1953, by which time he had arrived in Leeds. While at Oxford he had met Patricia Mary Best, the only daughter of Aubrey George and Gladys Best, and they were married in Oxford on 15 April 1950. The oxidation of hydrogen The recently nationalized energy industries of coal mining, gas and electrical generation were endowed with fine research establishments. The Gas Act of 1948 nationalized the 1064 privately owned and municipal separate local gas companies into 12 Area Gas Boards, reshaping the entire industry. The Gas Council was established to improve liaison between these and the Ministry of Fuel and Power. In 1949 the continuing appeal of combustion research caused Graham to leave Courtaulds and take up a post as Senior Scientific Officer with the Gas Research Board at Beckenham, Kent. At that time, the chemical kinetics of gaseous oxidation were studied at relatively low temperatures of up to about 800 K, usually in heated Pyrex vessels. This technique was complicated by the surface chemical reactions that could occur on the vessel walls, and Linnett had been drawn to the study of the recombination of atoms on such surfaces. Graham had become enthused with the idea of measuring the microstructure of premixed flames, free from the influence of walls, as a means of studying reaction kinetics at somewhat higher temperatures. In collaboration with M. J. G. Wilson he developed a light deflection technique for measuring refractive index gradients in flames. Values of refractive index were then converted to temperatures to yield temperature profiles through the flames. Professor Felix Weinberg FRS comments: Dixon-Lewis and Wilson started with a truly heroic attempt to analyse the deflection pattern following the passage of the light beam through a flame stabilized on a Bunsen burner. I had the good fortune of working in a department whose Head, Sir Alfred Egerton FRS, had developed a flat flame burner with J. Powling. This proved the perfect tool for this type of project. It was ideal for optical studies, not only because of its approximation to uni-dimensionality and all round accessibility, but because it operated close to limits of flammability where the flame thickness is close to ten times that for stoichiometric mixtures. It was adopted by Graham in the next phase of his work. A further widening of this zone can be achieved by going to lower pressures—an approach adopted, in conjunction with increasingly sophisticated thermocouples, notably by Friedman and several others. The Gas Research Board was dissolved in 1953 and Graham joined the staff of the rather more academically orientated Gas Council–University of Leeds Joint Research Committee. This was housed in the then Department of Gas and Fuel Industries with Metallurgy at the university, and this post enabled him to pursue fundamental researches on flames and combustion. Working with the quietly taciturn Geoff Isles, whom he greatly respected, he refined the optical technique for the measurement of temperature profiles and the understanding of how they resulted from the interplay of molecular diffusion, thermal conduction and chemical heat release (5). *Numbers in this form refer to the bibliography at the end of the text. Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Graham Dixon-Lewis 39 Since Hinshelwood’s pioneering studies of the chain reaction mechanisms for the oxidation of hydrogen, the relevant experimental studies had involved largely isothermal reactions in Pyrex vessels heated in the range of about 710–820 K. Vessels might be coated with KCl or boric acid to study the effect of surface reactions, about which there was much uncertainty, particularly those involving HO2 and H2O2 (Baldwin et al. 1962). The hydroperoxyl radical, HO2, had been postulated as an intermediate in numerous oxidation reaction mechanisms. Mechanisms involving it were capable of giving detailed explanations of the explosion limits and reaction rates in hydrogen–oxygen systems in such vessels, but only at these relatively low temperatures. At that time there was a belief that the radical would be too unstable to exist in flames. It was assumed that most of the flame reactions occur at too high a temperature for the HO2forming reaction [1] to compete with the vital chain-branching reaction [2]. H + O2 + M → HO2 + M; [1] H + O2 → OH + O. [2] However, the evidence from the detailed computations that Graham performed with Alan Williams for a slow-burning H2–O2–N2 flame and for two faster-burning (higher-temperature) flames suggested that this assumption might, in many cases, be invalid (6). The slow-burning hydrogen flame From this background of experimental expertise and emerging chemical kinetic detail, DixonLewis and Williams presented a key pioneering paper at the Ninth International Symposium on Combustion at Cornell University in 1962, on the structure of a slow-burning hydrogen flame on an Egerton–Powling flat-flame burner (7). This paper combines exacting measurements of profiles through the flame zone of gas velocity, gas temperature and concentrations of stable species with the use of gas chromatography and mass spectrometry. Relative concentrations of H and OH are found by the sodium chemiluminescence technique of Padley & Sugden (1959). A chemical kinetic model with seven reactions is presented, and with due objectivity and modesty about this very early attempt at hydrogen flame mathematical modelling, the authors commented: ‘It has not yet been possible to reproduce the experimental flame by the numerical approach, although the level of agreement is reasonable.’ In view of the paper’s importance, the abstract of it is reproduced below. Some observations on the structure of a slow burning flame supported by the reaction between hydrogen and oxygen at atmospheric pressure G. Dixon-Lewis and A. Williams The complete analysis of a flame structure consists of studying the variation of the temperature and all the composition parameters with distance y perpendicular to the flame front. By means of such analyses it is possible to investigate the mechanism and kinetics of the processes controlling the flame. However, for such investigations to have maximum effectiveness it is necessary to use the simplest flames consistent with the type of reaction mechanism. For this reason hydrogen–oxygen flames have for some time been studied in this laboratory as comparatively simple flames supported by a branched chain reaction system. The flame studied in this paper has an initial composition of 4.604 per cent oxygen, 18.830 per cent hydrogen and 76.560 per Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 40 Biographical Memoirs cent nitrogen. This flame is within the range of hydrogen–oxygen–nitrogen flames which can be stabilized at atmospheric pressure on an Egerton–Powling type of flat flame burner. For a matrix temperature of 336 K the theoretical flame temperature is 1078 K, and the burning velocity, measured by means of particle track technique, is 9.2 cm/sec. The flame burns as a flat disc with the reacting gases flowing in a direction normal to the plane of the reaction zone. This produces an approximately one-dimensional flow system, and thus simplifies the analysis. In this paper the results of both an experimental and a theoretical investigation of the flame are described. These are combined in an attempt to give information about the flame mechanism. In the theoretical investigation the effects of alterations in some of the reaction and transport parameters on the flame have also been studied. An interesting discussion followed, involving key researchers in the area. To give a flavour of this and of the understanding of flame structure and the reaction kinetics at that time, some of the comments of one discussor and the authors’ response are given below. Discussor: The central problem posed in this paper is the lack of agreement between the rate of heat release obtained by differentiating the measured temperature profile and the same quantity deduced from the measured H atom concentration and the rate constant for H atom recombination. The maximum heat release is derived from the temperature profile at a point where its gradient is extremely steep, making the differentiation difficult; and the hydrogen atom concentration must be determined from the rate of the deuterium exchange reaction at a point where this method is losing its validity. The exchange rate constant is not without error and the atom concentration obtained must be squared and multiplied by the recombination rate constant which is also somewhat uncertain. In view of this, a discrepancy of a factor of ten in the two heat release rates is not at all surprising. What is more serious is that the heat release and H atom profiles do not agree in shape as well as absolute magnitude. When the latter is squared as required by the proposed heat release mechanism and compared with the profile determined from the temperature, the temperature profile is more sharply peaked. … Certainly, the calculations involving HO2 or a change in the branching rate constant are not satisfactory as they either do not reproduce the burning velocity or fail to solve the discrepancy. Authors’ response: It seems to us that perhaps too much emphasis has been placed on the preliminary kinetic analysis outlined as the starting point for the theoretical section of the paper. This preliminary analysis indicates the non-applicability of the assumption that the major heat releasing process is the recombination reaction. The subsequent numerical solutions support this, and show that near the maximum heat release rate the less exothermic but much faster chain branching cycle provides the principal heat releasing step, when reasonable values are employed for the rate constants. … The picture that emerges from this work is that of a flame in which H atoms are produced very rapidly in the region of the maximum heat release rate. The majority of these diffuse out towards the hot and cold boundaries of the flame before recombining, so that in the region of the maxima in the profiles most of the heat release is associated with the branching cycle of reactions. In assessing the contributions of HO2 reactions, we would agree that as far as agreement with experiment is concerned these are not satisfactory. But then the reaction mechanisms involving HO2 as investigated in the paper are clearly oversimplified and unrealistic. Alteration of the branching constant can clearly be made to reproduce the burning velocity alone, whatever reaction mechanism is assumed, but, as pointed out in the paper, some further kinetic analysis is necessary to obtain agreement with burning velocity and profiles. Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Graham Dixon-Lewis 41 Computations and measurements of flame structures At that time, solutions of the steady-state flame conservation equations with uncertain chain branching and chain-breaking equations were difficult to obtain for anything other than the simplest chemical kinetics. The hydrogen flame was of practical interest: the low-temperature researches over several decades had provided valuable information on its kinetics and, with the advent of digital computers, the time was ripe to attempt solutions of the complete equations. In conjunction with experimental studies, including the measurement of laminar burning velocities, these could elucidate something of the high-temperature kinetics. For the initial computations in (6) and (7), geared mechanical calculators were employed, as they had been in 1956 in the numerical solutions of the hydrazine decomposition flame by D. B. Spalding (FRS 1983). The situation was transformed at Leeds in the autumn of 1957, when Professor A. S. Douglas set up the Computer Laboratory of the university. A Ferranti Pegasus computer was installed as a central university machine in the disused Eldon chapel across the perilous Woodhouse Lane. It was known as Lucifer (Leeds University Computing Installation FERranti). Douglas was succeeded by G. B. Cook, who, with G. K. Adams, in 1960 used a Ferranti Mark 1* computer also to obtain solutions for the hydrazine flame. Also at that time, it was not to be expected that an Oxford physical chemist such as Graham would be comfortable with the numerical analysis of equations of such complexity by using a computer. Professor Allan Hayhurst has pointed out that, writing of the prewar period, P. V. Danckwerts FRS (Danckwerts 1981) had described chemistry as ‘an essentially literary subject at Oxford at that time. I was taught no physics and no mathematics. It was said that if an Oxford chemist encountered a differential coefficient in a book, he turned the page; if he saw an integral sign, he closed the book.’ No doubt Graham was fired by the potentialities of the newly available computational power for revealing flame structures. His ability to rise to the challenge partly stemmed from the mathematical enthusiasms of his teacher, Glover, his tutor, Chapman, and his research supervisor, Linnett. Apparently, nothing pleased Linnett more than for one of his protégés ‘to use his results to do a bit of mathematics’ (Buckingham 1977). Hayhurst has conjectured that Dixon-Lewis was probably better off teaching himself, once he became conscious of the mathematical need. The mathematician Professor Barry Greenberg, whose PhD research was supervised by Graham, has commented: I discovered that Graham combined a tremendous background in chemical kinetics with the ability to tackle numerically the solution of the flame conservation equations, including detailed transport properties and chemistry. I recall distinctly one occasion when he ‘complained’ that the mathematicians thought of him as a chemist whereas the chemists thought of him as a mathematician! David Smith recalls those early days of computing with Graham: I shared an office with him. Each day we met up, we would exchange a few words before he was off to the computer (before the days of PC links), saying, ‘Must get some more runs going’, and then he was away for most of the day. When he did spend time in the office, he was generally evaluating and analysing results. Typically, he would be poring over a graph pad, adding points to an already crowded graph. Not for him the dumping of data into a spreadsheet; according to him, ‘I prefer it this way; you can see much better what the results are telling you.’ I think that neatly sums up Graham’s approach to science: profound insights, meticulous care and attention to detail. The seminal studies of (6) and (7) gave rise to several further papers that combined experimental and computational studies of one-dimensional laminar flames particularly involving Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 42 Biographical Memoirs H and OH reactions (8–14). These considerably advanced the general understanding of flame structure. In the course of them, it had become clear that the derivation of accurate reaction rates necessitated accurate expressions for the various multi-component diffusional fluxes, thermal diffusional fluxes and thermal fluxes. Because of the primary role of the chainbranching reaction [2], the rate of diffusion of H atoms was particularly important. Here, the experimental measurements of their diffusion coefficient by Tony Clifford in the Department of Physical Chemistry at Leeds were of particular importance to Graham. The flame equations were successfully formulated in (17), but molecular transport coefficients were still demanding attention in collaborative researches 18 years later (38). In what one commentator described as a series of almost classical papers on the hydrogen flame, published by the Royal Society (15, 17–20, 23–25, 28, 30), Dixon-Lewis and his co-workers deployed exceptional experimental skill and versatility, combined with a profound understanding of the theoretical aspects of the subject, to unravel the complexities of his chosen system. His work was highly influential, not just in relation to flame itself but also in the wider fields of chemical kinetics and fuel technology. Since 1952, the biennial International Combustion Symposia have been key meetings in the combustion research calendar, attended by scientists and engineers of international repute. As a result of contacts and discussions at these meetings during his earlier years, Dixon-Lewis had the good fortune in 1965 to spend a long vacation as a visiting professor working with A. A. Westenberg at the Applied Physics Laboratory of the Johns Hopkins University at Silver Spring, Maryland. This involved the use of a fast-flow system in combination with quantitative electron spin resonance spectroscopy, for the measurement of the room-temperature rate coefficient for the reaction CO + OH → CO2 + H, [3] a key reaction rate that he predicted correctly would be needed in his future computer codes. This collaboration was followed in 1970–71 by one with D. J. Williams, who had been seconded from Australia to work in Graham’s group. This resulted in further work on CO oxidation, but in a predominantly hydrogen flame. He and Williams agreed to collaborate in writing a chapter for a book in the Comprehensive chemical kinetics series, edited by C. H. Bamford and C. F. H. Tipper. Unfortunately, Williams returned to Australia before the article was completed, and Graham suffered a subarachnoid haemorrhage towards the end of 1972 and spent the best part of 1973 out of action. Of this period Barry Greenberg writes: The doctors had given instructions that he should not be involved in any work and visitors to the hospital were restricted. However, one of his research assistants managed to visit him and was immediately given detailed instructions as to what parametric studies to carry out with the latest version of his code. And an update was expected (‘but don’t tell my wife’!). I was therefore not surprised to find him sitting by the computer, perusing mounds of data, when I returned to Leeds for a short sabbatical some years ago, several years after he had retired. These delays meant the chapter was only finally published in 1977 (29). This was followed by (31) and (33) in 1981. The latter involved computed solutions of the structures of H2–CO–O2–H2O–N2 flames and the prediction of values of burning velocities at atmospheric pressure. These values were compared with those measured by a variety of other researchers. It was found that the major part of the observed changes in burning velocity from those of H2–air mixtures could be satisfactorily explained by the addition of the single reaction [3] to the mechanism already established for the H2–O2–N2 flame system. Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Graham Dixon-Lewis 43 By the 1960s the UK was importing significant amounts of liquefied natural gas from Africa. In 1966, after a North Sea survey had revealed large amounts of natural gas, it was decided that the UK should switch from the use of coal-based town gas to natural gas. The flow of North Sea gas began a year later, and over the next 10 years British Gas undertook a massive conversion of appliances from town gas to natural gas. The Gas Act of 1972 restructured the company, creating the British Gas Corporation, later to be privatized by the 1986 Gas Act. The problems posed by the redesign of appliances prompted the Gas Council to encourage associated research. DixonLewis and Williams responded with an early study of the methane reactions that ensued when traces of methane were added to H2–O2–N2 flames in 1967 (16). This was followed in 1971 by a paper with Garside, Kilham, Roberts and Williams (22) on the combustion of methane. By 1982 a comprehensive chemical kinetic scheme, comprising 50 reactions, had been formulated for methane–air flames (34). The paper also covered the practical problem of comparing computed one-dimensional values of burning velocity with those measured in flames that were clearly not one-dimensional. This initial modelling of burning velocities showed them to be sensitive to the rate expressions for reaction [2] and, to a lesser extent, reaction [3], whereas variations in the other rate expressions were of little importance. This achievement was the culmination of years of patient, logical, ‘building block’ research that began with hydrogen flame kinetics, followed by studies of the effects of adding, first, trace amounts of CO and then, finally, traces of CH4, to the hydrogen flame. The Leeds environment For a few decades after his arrival in Leeds in 1953, Graham, a Welshman cast among dour Yorkshire persons, lived a delusion that this was only a temporary visit, but he was willing to give it a go and perhaps stay a little longer than originally intended. Perhaps the esteem in which his fellow Welshman John Charles was held by the followers of Leeds United football club and Graham’s growing respect for the then successful club and its manager, Don Revie, were factors in settling him. Another factor might have been the pedigree of sustained combustion research at the university and its predecessor, the Yorkshire College. Whatever the reason, he remained there until his sudden death at a bus stop in the centre of Leeds, on his way home from work on 5 August 2010, in his 89th year. Sir Edward Thorpe, whose interests covered coal dust explosions and the composition of paraffin, was appointed Professor of Chemistry at the Yorkshire College in 1874 and later became the Government Chemist. He appointed a mechanical engineer, Sir Dugald Clerk (FRS 1908), who later became a Director of the National Gas Engine Company, as his assistant. Thorpe was succeeded in 1884 by Sir Arthur Smithells (FRS 1901), one of the pioneers of the science underlying industrial combustion. His links with the gas industry led to the formation of the Department of Fuel and Metallurgy in 1906, headed by Professor W. A. Bone FRS. These three professors had all researched at Heidelberg with R. W. Bunsen. There was no PhD study at Leeds until 1917, when it was introduced with the aims of extending the country’s research base and attracting foreign students. Professor W. T. David arrived at the Department of Civil and Mechanical Engineering in 1922 from Cardiff, after researching with Bertram Hopkinson FRS on gaseous explosions at Cambridge. Professor D. T. A. Townend, who, along with Bone, was a pioneer researcher of high-pressure combustion, was appointed to the Livesey Chair of Coal Gas and Fuel Industries in 1938. Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 44 Biographical Memoirs In 1971 Graham was appointed a Senior Research Fellow and Honorary Reader in Flame and Combustion Science. He also took a full part in undergraduate teaching and in the supervision of postgraduate students in the Fuel Department. For many years he was also an associate lecturer in the Department of Physical Chemistry. He transferred completely to the academic staff in 1977 after a period of 24 years, during which he had been generously funded by British Gas through the Gas Council, with supplementary funding for research fellows, students and the provision of equipment. In 1978 he was appointed to a personal chair. Along with colleagues in the departments of Fuel and Energy, Physical Chemistry, and Mechanical Engineering, he had, since 1967, played an important role in establishing and sustaining the internationally renowned Centre for Studies in Combustion and Energy. The combustion researchers who were members of the Centre covered a remarkable diversity of talents and included Gordon Andrews, Donald Baulch, Terry Boddington, Ian Campbell, Andy Clarke, Jim Garside, Phil Gaskell, Alan Gray, Brian Gray, Peter Gray (FRS 1977), Bernard Gibbs, John Griffiths, John Kilham, Arthur Leah, Mike Pilling CBE, Andy McIntosh, Stephen Scott, Chris Sheppard, John Taylor, Alan Williams CBE FREng, Paul Williams, Graham, and the present writer. The Centre ran a successful MSc course and enhanced a variety of research collaborations. This interdisciplinary approach also extended to collaborations with members of the Department of Applied Mathematics, in particular with John Brindley, Malcolm Bloor, David Crighton (FRS 1993), Allin Goldsworthy and Sam Falle. Graham developed strong links through his mathematical modelling with Allin Goldsworthy (26–28, 32). In addition to his collaborations with the Department of Physical Chemistry on gaseous diffusion of atoms, there were collaborations on the ozone decomposition flame (21). He also particularly valued the evaluations of chemical kinetic data by D. L. Baulch, D. D. Drysdale and their co-workers. He collaborated with the Department of Mechanical Engineering on the measurement and computation of methanol–air flame structures and burning velocities in a low-pressure flat-flame burner (44). The same burner was used in a first step towards establishing a model for the combustion of pulverized coal. This involved first measuring and modelling the oxidation rates of carbon particles introduced into laminar methane–air flames (35, 45), and this was followed by the modelling of the combustion of ultrafine coal (46). Externally, Graham’s national and international reputation ensured that his services were widely sought by professional bodies and journals. He was a founding member of the British Section of the Combustion Institute, in 1954, and served as a committee member and as the section’s honorary treasurer from 1969 to 1975. A group of 20 or so section members will also remember with great fondness Graham’s role as ‘Obergruppenführer’ of the British contingent who attended the Seventeenth Combustion Symposium in Tokyo in 1974 and the highly enjoyable tour of Japan that followed it. This was a responsibility that one might not have naturally delegated to Graham, because he never seemed to carry a watch—and Graham did share a confidence, at the time, with our chairman that his family would not trust him to get them as far as Bridlington! He was a regular member of the institute’s Programme Committee for International Symposia, the Flame Chemistry Board of the International Flame Research Foundation, and of the Editorial Board of Combustion and Flame. Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Graham Dixon-Lewis 45 Stretched flames The one-dimensional flat flame was ideal for minimizing any complexities arising from the fluid flow and enabling attention to be focused on the chemical kinetics. However, as has been pointed out, many practical premixed laminar flames are two-dimensional, and also three-dimensional when the instabilities, to which they are prone, develop. It was therefore not surprising that the growing number of researchers into flame structures should investigate these dimensional effects. By the 1980s, advances in computers had enabled more complex chemically reacting flows to be modelled, and developments in laser diagnostics were able to yield more details of the flame structure. A two-dimensional laboratory flow configuration emerged that was particularly useful, both computationally and experimentally. This involved two opposed streams of gaseous reactants approaching each other from opposite sides and forming a stagnation plane, as indicated in figure 2. A near-planar flame is formed between the two flows. If A is the area of a material surface and t is time, its stretch rate is defined as A−1dA/dt. As the flow rates increase, so does the stretch rate. Such counter-flow burners can be employed for both premixed and non-premixed flames. Increasing the stretch rate eventually leads to abrupt flame extinction. The computed flame structures and extinction stretch rates are not only of interest in their own right; they also can be used as a key input into laminar flamelet models of turbulent combustion. A complication in turbulent combustion is the existence of a distribution of different values of stretch rate. Depending on the details of the turbulence modelling, the effect of the stretch rate on either the localized laminar burning velocity or the local volumetric rate of heat release must be evaluated, in what is usually a complex flow field. In 1986 several European research groups participated in a programme sponsored by the Commission of the European Communities on ‘Turbulent combustion and diagnostics’. Both Graham and the highly respected Jürgen Warnatz from Heidelberg participated in a subset of the programme devoted to the development of a ‘Strained flame library for turbulent combustion modelling’. The aim was to compute the necessary laminar reaction rate parameters through the flame, for different mixtures and strain rates, to provide a library of data for practical turbulent flame computations (37, 39, 40, 43). A strained flame library was indeed compiled, and Graham’s data were used in the flamelet model of turbulent combustion developed by Derek Bradley (FRS 1988) and the group in the Mechanical Engineering Department at Leeds. Their use of it in the modelling of methane–air and propane–air turbulent combustion in a jet-stirred reactor in 1988 was the first application of this approach (Ribert et al. 2006), which has subsequently become widespread. Since 1969, Graham and Pat had become enthusiastic holiday campers, and family camping holidays ranged over the length and breadth of Europe. Graham developed a taste for the wines of Alsace and fine red Burgundy wines. This often necessitated extensive detours in the return journeys to pass through these regions, to restock the Leeds ‘cellars’. The Neapolitan combustion scientist Ninni D’Alessio wrote that Graham told me about the frightening experience of camping in Italy with his family. He softly spoke of thunderstorms, flooding, stealing and other disasters. Then he concluded that when the family considered where to go for holidays the following year, they clearly voted for Italy again. To a southern European, Graham is the prototype of the Englishman with a bit of eccentricity, which is gradually disappearing from the European scene, together with the sentimental Neapolitan, the cartesian Frenchman, and the philosophical German. Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 46 Biographical Memoirs Figure 2. Opposed flow flame configurations. (Reproduced from (48); copyright © The Royal Society.) All this, combined with Pat’s high culinary skills and their warm personalities, made them wonderful hosts. Graham attended evening classes in French, which were usually followed by a glass or two of wine. When the Leeds local authority could no longer finance the classes they continued in private houses, but with rather more emphasis on the wine. Graham became quite fluent in French and greatly enjoyed his admission to the wine-tasting Confrairie de St Vincent, which had a parallel group in Lille. Graham’s international research role also flourished in the 1980s. International groups, from Rheinisch-Westfälische Technische Hochschule Aachen, Heidelberg, Kyoto, Leeds and Sandia National Laboratories, California, had come together at a workshop in Heidelberg in 1983. The results of their ensuing collaboration on the calculated structures and extinction limits of cylindrical methane–air counter-flow diffusion flames were presented at the Twentieth Symposium on Combustion in 1984 at Ann Arbor (36). A brief visit to Bob Kee and Jim Miller at Sandia in 1984 resulted in the implementation of the Leeds multi-component transport properties computer program into the Chemkin software (38). This collaboration led, in 1987, to Graham’s spending six months as a visiting scientist at Sandia, in a further fruitful collaboration. This resulted in a paper at the Twenty-Second Symposium in 1988 with Bob Kee, Jim Miller and Greg Evans on the structure and extinction of strained opposed flow premixed methane–air flames (41). This paper was subsequently awarded a Silver Medal at the 1990 Combustion Symposium, at which Graham was also presented with the Institute’s Alfred C. Egerton Gold Medal. He was the first person to receive both awards at a symposium. He also delivered an invited plenary lecture, ‘Structure of laminar flames’ (42). Indian summer In the previous year, 1987, Graham had ‘retired’ from his original chair. There then followed a lengthy Indian summer of further scientific achievement during which, as a research professor, he continued to research and publish assiduously. It was a regular (and always pleasurable) occasion for Leeds colleagues to have a chance meeting with him, well into 2010, either as he walked to the university from the bus that dropped him in the city centre, or otherwise in the School of Mechanical Engineering, where he eventually had his desk and computer access. At the International Combustion Symposium at Edinburgh in 2000, the entire worldwide combustion community banded together to present him with a book of congratulatory letters, noting his many professional contributions and his impact on our lives. The most heartfelt of these letters recalled many times how Graham contributed to our personal as well as professional lives, recalling many treasured moments. Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Graham Dixon-Lewis 47 Figure 3. Graham Dixon-Lewis on his election to the Fellowship of the Royal Society. (Online version in colour.) He received the 1993 Royal Society of Chemistry’s Award for Combustion and Hydrocarbon Oxidation Chemistry in 1994. In the following year he was elected a Fellow of the Royal Society (figure 3) and was awarded the Dionizi Smolenski Medal of the Combustion Section of the Polish Academy of Sciences. He received the Sugden Award of the British Section of the Combustion Institute in 1997 and in 2008 the Huw Edwards Prize of the Institute of Physics. In 1993–94 he was a senior research fellow at Cambridge University, at the invitation of Ken Bray FRS, where he researched on flames close to the flammability limit. In 1994 he was a visiting professor at the Max-Planck-Institut für Strömungsforschung, Göttingen, at the invitation of Professor H. Gg. Wagner. Between 1980 and 2000 he participated in several combustion meetings in Poland, a Fire and Explosion Hazards Seminar in Moscow (47), and Flame Structure Seminars in Siberia (40) and Kazakhstan (43). He also acquired some knowledge of both Polish and Russian. On 14 April 2010, Graham made what would prove to be his last scientific presentation. This was at the Sixth Fire and Explosion Hazards Seminar at Weetwood Hall Conference Centre and Hotel, Leeds. It covered the role of radiative loss combined with the flame stretch rate in extinguishing near-limit hydrogen flames. The numerical analysis also allowed for Lewis number effects (49). On the following evening, at the seminar banquet at the Royal Armouries, the delegates were on their feet toasting Graham and Pat on the occasion of their diamond wedding anniversary (figure 4). There was a further private celebratory party a few days later. His last social gathering was on 16 July at an informal party thrown by Elaine and Danny Oran at the New Inn in the countryside to the north of Leeds to celebrate Elaine’s award of an honorary DSc at Leeds, for her contributions to the mathematical modelling of flames and detonations. He did not attend the 33rd Combustion Symposium in Beijing at the beginning of August. At the end of it, as knots of delegates were wandering at leisure around the region of the Tsinghua University campus before going home, the sad news was diffusing: truly, Graham was no longer with us. Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 48 Biographical Memoirs Figure 4. Graham and Pat responding to the diamond wedding toast at the Royal Armouries. (Note the suit of armour on Graham’s right.) (Online version in colour.) Tribute In the words of Charlie Westbrook, the President of the Combustion Institute: The combustion community has lost one of its finest scientists and one of its most beloved colleagues. We all deeply admired him for his cheerful personality, his love for his work, and his willingness to help anyone who asked for his thoughts. His astonishing technical productivity covered more than half a century, and he was a pioneer at the leading edge of computational fuel science for his entire career. But even more than his professional accomplishments it was his lively and happy personality that charmed us all. Professor Weinberg wrote for this memoir: When, in 1998, Professor Derek Dunn-Rankin and I needed the most accurate and detailed information on the structure of a particular unstretched premixed flame, to compute the modification to the location of the schlieren image due to axial symmetry of the refractive index field, no experimental measurements could compete with the precision and the convenience in use of Graham’s simulations. I still remember with much gratitude Graham’s enthusiastic help in making available to us his, previously unpublished, stoichiometric methane–air flame structure and his guidance in making optimum use of it. Graham had a most engaging, friendly and welcoming personality and is greatly missed by all who had the pleasure of meeting him. Professor Hayhurst writes: As a young man, after I had published a few papers in the Faraday Society on the measurement of the diffusion coefficients of the alkali metal atoms, as well as other species emitting light when in a flame, I later discovered that Graham had been working on the same topic and I had just ‘pipped him to the post’. I spoke to him, apologised and suggested that we write something Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Graham Dixon-Lewis 49 together on the topic. He was generosity personified, claiming that I needed to get an academic job and didn’t need him interfering. I, on the other hand, had prevented him from publishing, but that didn’t worry him. This generous paternalism from Graham towards me continued all his life. I first found out about his computations in 1968. Nobody until then had dared attempt any calculations of the evolution of events in a flame; people like Morris Sugden, who really understood what was happening in and around a flame front, did not have much awareness of what numerical analysis and computers could contribute towards sorting out these problems. Graham’s work thus came as a stunning and dazzling revelation, which he went on to develop even further. The outstanding researches of Graham and his group on laminar flame structure ranked him as one of the world’s foremost authorities in the field. He was universally admired for his warm friendliness and quiet humour. He was a perfectionist in all his researches. His well-known remark, ‘I agree with you up to a point’, alerted serious consideration of what lay beyond that point. With regard to higher education, before his death he had become increasingly concerned that the universities were being asked to fulfil too many functions at one time. The decline in the number of students opting for science-based subjects was a particular cause for concern. Reversal of this trend would not be helped by the relatively high fees required to cover the costs of course provision for these subjects. He believed encouragement into these areas would require very serious considerations at national level. Graham Dixon-Lewis is survived by his wife, Pat, their son, Andrew, and daughters Stephanie and Melanie. In the family he was the patriarch, but he would never have achieved what he did without Pat’s support in taking care of the more practical things in life. As a father he believed his greatest contribution to his children would be an education and experience that would give them confidence to cope with life. He could be a hard taskmaster, but always with the idea that they should not be happy with anything less than the best. He was a great believer in equal opportunities for both girls and boys. He had a strong, if not quite conventional, Christian faith and had been a reader in the church for 30 years; he was often complimented on his clarity and soft Welsh accent. During his time in Yorkshire he grew to love rambling in the Yorkshire Dales. He had aspirations to improve his bridge playing and even of becoming a pianist, had not the more interesting flame equations required so much coaxing before the solutions to them converged. In a letter to Graham some years ago, the trenchant observer and combustion scientist Bob Dibble recalled an afternoon in Livermore, so rainy that they had to abort a biking expedition they had planned together. Graham’s bike had been loaned to him for the duration of his stay. We put the borrowed bicycle upside-down and rolled the front tire for several hours in order to put ‘miles’ on the odometer before you returned the bike. You were concerned that the lack of miles on the odometer would suggest ungratefulness to the person who loaned you the bike. By the end of the afternoon we had put on many miles while sitting in the living room. My kind of travel! Hoping to join you for more great trips and associated illuminated discussions that include my discovery that a turbulent non-premixed flame is largely an ensemble of Dixon-Lewis opposed flames. Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 50 Biographical Memoirs Honours 1990Silver Medal of the Combustion Institute (with Bob Kee, Jim Miller and Greg Evans) Alfred C. Egerton Gold Medal of the Combustion Institute for ‘distinguished, continuing and encouraging contributions to the field of combustion’ 1994 1993 Royal Society of Chemistry Award for Combustion and Hydrocarbon Oxidation Chemistry 1995Elected Fellow of the Royal Society 1995 Dionizi Smolenski Medal of the Combustion Section of the Polish Academy of Sciences 1997Sugden Award of the British Section of the Combustion Institute for the most significant contribution to combustion research by a member in 1996 2008Huw Edwards Prize of the Institute of Physics, for services to combustion physics Acknowledgements Thanks are due to the many colleagues and friends of Graham who have kindly spent time formulating their impressions of the man and his work. They include Tony Clifford at Leeds; Barry Greenberg at the Israel Institute of Technology, Haifa; John Griffiths at Leeds; Allan Hayhurst, Chairman of the British Section of the Combustion Institute at Cambridge; Christopher Jeens, the Archivist at Jesus College Oxford; Mike Pilling CBE at Leeds and formerly of Jesus College, Oxford; David Smith, formerly at British Gas and a Director of the Combustion Institute; Felix Weinberg FRS at Imperial College; Charlie Westbrook, President of the Combustion Institute at Lawrence Livermore Laboratory, California; and Alan Williams CBE FREng at Leeds. Thanks are also due to Franco Tamanini at FM Global, Norwood, Massachusetts, for the photograph in figure 4. Particular thanks are due to both Pat DixonLewis and Graham and Pat’s daughter, Stephanie Somers, for their help and generosity in providing documentation and information. The frontispiece photograph was taken in 1995 by Prudence Cuming Associates and is copyright © The Royal Society. References to other authors Baldwin, R. R., Doran, P. & Mayor, L. 1962 The dissociation of hydrogen peroxide and its role in the hydrogen–oxygen reaction. In Eighth Symposium (International) on Combustion, pp. 103–109. Pittsburgh, The Combustion Institute. Bowen, E. J. 1958 David Leonard Chapman, 1869–1958. Biogr. Mems Fell. R. Soc. 4, 34–44. Buckingham, A. D. 1977 John Wilfrid Linnett, 3 August 1913 – 7 November 1975. Biogr. Mems Fell. R. Soc. 23, 311–343. Chapman, D. L. 1899 VI. On the rate of explosion in gases. Phil. Mag. (5) 47, 90–104. Danckwerts, P. V. 1981 Insights into chemical engineering: selected papers of P. V. Danckwerts. Oxford: Pergamon Press. Padley, P. J. & Sugden, T. M. 1959 Chemiluminescence and radical re-combination in hydrogen flames. In Seventh Symposium (International) on Combustion, pp. 235–244. London: Butterworths. Ribert, G., Gicquel, O., Darabiha, N. & Veynante, D. 2006 Tabulation of complex chemistry based on self-similar behaviour of laminar premixed flames. Combust. Flame 146, 649–664. Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Graham Dixon-Lewis 51 Bibliography The following publications are those referred to directly in the text. A full bibliography is available as electronic supplementary material at http://dx.doi.org/10.1098/rsbm.2011.0024 or via http://rsbm.royalsocietypublishing.org. 1949Studies in polymerization. V. The polymerization of vinyl acetate. Proc. R. Soc. Lond. A 168, 510– 522. (2) 1951 (With J. W. Linnett) The effect of organic substances on the upper limits of inflammability of some hydrogen–carbon monoxide–air mixtures. Proc. R. Soc. Lond. A 201, 48–69. (3) 1953 (With J. W. Linnett) The oxidation of mixtures of hydrogen and carbon monoxide. I. The second explosion limits in a potassium chloride coated silica vessel. Trans. Faraday Soc. 49, 756–765. (4) (With J. W. Linnett & D. F. Heath) The oxidation of mixtures of hydrogen and carbon monoxide. II. The second limits in a clean silica vessel. Trans. Faraday Soc. 49, 766–771. (5) 1962 (With G. L. Isles) Flame structure studies. The temperature profile in a flame supported by a hydrogen–oxygen–nitrogen mixture, determined with the use of both probe and optical methods. In Eighth Symposium (International) on Combustion, pp. 448–455. Pittsburgh: The Combustion Institute. (6) (With A. Williams) Role of hydroperoxyl in hydrogen–oxygen flames. Nature 196, 1309–1310. (7) 1963 (With A. Williams) Some observations on the structure of a slow-burning flame supported by the reaction between hydrogen and oxygen at atmospheric pressure. Ninth Symposium (International) on Combustion, Ithaca, New York, 27 August to 1 September 1962, pp. 576–584. New York: Academic Press. (8) 1963 (With A. Williams) Effects of nitrogen, excess hydrogen, and water additions on hydrogen–air flames. AIAA J. 1, 2416–2417. (9) (With A. Williams) Methods of studying chemical kinetics in flames. Q. Rev. Chem. Soc. 17, 243– 263. (10) 1964 (With M. M. Sutton & A. Williams) Stability of hydrogen–nitrous oxide–nitrogen flames on a flat flame burner. Combust. Flame 8, 86–87. (11) (With A. Williams) The rates of heat release in some slow-burning hydrogen–oxygen flames. Combust. Flame 8, 249–255. (12) (With M. M. Sutton & A. Williams) The reaction of hydrogen atoms with nitrous oxide. J. Chem. Soc., 5724–5729. (13) 1965 (With M. M. Sutton & A. Williams) Reactions contributing to the establishment of the water gas equilibrium when carbon dioxide is added to a hydrogen–oxygen flame. Trans. Faraday Soc. 61, 255–262. (With M. M. Sutton & A. Williams) Some reactions of hydrogen atoms and simple radicals at high (14) temperatures. In Tenth Symposium (International) on Combustion, pp. 495–502. Pittsburgh: The Combustion Institute. (15) 1967 Flame structure and flame reaction kinetics. I. Solution of conservation equations and application to rich hydrogen–oxygen supported flames. Proc. R. Soc. Lond. A 298, 495–513. (With A. Williams) Some observations on the combustion of methane in premixed flames. In Eleventh (16) Symposium (International) on Combustion, pp. 951–958. Pittsburgh: The Combustion Institute. (17) 1968 Flame structure and flame reaction kinetics. II. Transport phenomena in multicomponent systems. Proc. R. Soc. Lond. A 307, 111–135. (18) 1969 (With G. L. Isles) Flame structure and flame reaction kinetics. III. Measurement of temperature profiles in flames at atmospheric pressure. Proc. R. Soc. Lond. A 308, 517–536. (19) 1970 (With M. M. Sutton & A. Williams) Flame structure and flame reaction kinetics. IV. Experimental investigations on a fuel-rich hydrogen–oxygen–nitrogen flame at atmospheric pressure. Proc. R. Soc. Lond. A 317, 227–234. (20) Flame structure and flame reaction kinetics. V. Investigation of reaction mechanism in a rich hydrogen–nitrogen–oxygen flame by solution of conservation equations. Proc. R. Soc. Lond. A 317, 235–263. (1) Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 52 (21) 1971 (22) (23) 1972 (24) (25) 1973 (26) (27) 1974 (28) 1975 (29) 1977 (30) 1979 (31) 1981 (32) (33) (34) 1982 (35) 1984 (36) (37) 1986 (38) (39) Biographical Memoirs (With F. Cramarossa) Ozone decomposition in relation to the problem of the existence of steady state flames. Combust. Flame 16, 243–251. (With J. E. Garside, J. K. Kilham, A. L. Roberts & A. Williams) Fundamentals of methane combustion. Paper presented to Autumn Research Meeting of Institute of Gas Engineers. I.G.E. Commun., 861. (With M. J. Day & K. Thompson) Flame structure and flame reaction kinetics. VI. Structure, mechanism and properties of rich hydrogen–nitrogen–oxygen flames. Proc. R. Soc. Lond. A 330, 199–218. Flame structure and flame reaction kinetics. VII. Reactions of traces of heavy water, deuterium and carbon dioxide added to rich hydrogen–nitrogen–oxygen flames. Proc. R. Soc. Lond. A 330, 219– 245. (With G. L. Isles & R. Walmsley) Flame structure and flame reaction kinetics. VIII. Structure, properties and mechanism of a rich hydrogen–nitrogen–oxygen flame at low pressure. Proc. R. Soc. Lond. A 331, 571–584. (With J. B. Greenberg & F. A. Goldsworthy) Kinetic modelling of hydrogen flames: Extension of computational methods to representation of whole composition range. In Combustion Institute European Symposium, Sheffield, pp. 59–64. (With J. B. Greenberg & F. A. Goldsworthy) Reactions in the recombination region of hydrogen and lean hydrocarbon flames. In Fifteenth Symposium (International) on Combustion, pp. 718–730. Pittsburgh: The Combustion Institute. (With F. A. Goldsworthy & J. B. Greenberg) Flame structure and flame reaction kinetics. IX. Calculation of properties of multiradical premixed flames. Proc. R. Soc. Lond. A 346, 261–278. (With D. J. Williams) Oxidation of hydrogen and carbon monoxide. In Comprehensive chemical kinetics (ed. C. H. Bamford & C. F. H. Tipper), vol. 17, pp. 1–248. Amsterdam: Elsevier. Kinetic mechanism, structure and properties of premixed flames in hydrogen–oxygen–nitrogen mixtures. Phil. Trans. R. Soc. Lond. A 292, 45–99. (With M. A. Cherian, P. Rhodes & R. J. Simpson) Kinetic modelling of the oxidation of carbon monoxide in flames. In Eighteenth Symposium (International) on Combustion, pp. 385–396. Pittsburgh: The Combustion Institute. (With P. H. Gaskell & F. A. Goldsworthy) Numerical modelling of gas dynamic and chemical kinetic interaction in hydrogen–oxygen mixtures. In First Specialists’ Meeting (International) of the Combustion Institute, Bordeaux, pp. 261–266. (With M. A. Cherian, P. Rhodes & R. J. Simpson) Structure, chemical mechanism and properties of premixed flames in mixtures of carbon monoxide, nitrogen and oxygen with hydrogen and water vapour. Phil. Trans. R. Soc. Lond. A 303, 181–212. (With S. M. Islam) Flame modelling and burning velocity measurement. In Nineteenth Symposium (International) on Combustion, pp. 283–291. Pittsburgh: The Combustion Institute. (With D. Bradley, S. El-Din Habik & E. M. J. Mushi) The oxidation of graphite powder in flame reaction zones. In Twentieth Symposium (International) on Combustion, pp. 931–940. Pittsburgh: The Combustion Institute. (With T. David, P. H. Gaskell, S. Fukutani, H. Jinno, J. A. Miller, R. J. Kee, M. D. Smooke, N. Peters, E. Effelsberg, J. Warnatz & F. Behrendt) Calculation of the structure and extinction limits of a methane–air counterflow diffusion flame in the forward stagnation region of a porous cylinder. In Twentieth Symposium (International) on Combustion, pp. 1893–1904. Pittsburgh: The Combustion Institute. (With T. David & P. H. Gaskell) Structure and properties of methane–air and hydrogen–air counterflow diffusion flames. Arch. Combust. 6, 3–21. (With R. J. Kee, J. Warnatz, M. E. Coltrin & J. A. Miller) A Fortran computer code package for the evaluation of gas-phase multicomponent transport properties (Sandia Report SAND86–8246). Livermore, CA: Sandia National Laboratories. (With M. I. G. Bloor, T. David & P. H. Gaskell) The influence of combustion on the fluid structure in a counterflow diffusion flame. In Twenty-First Symposium (International) on Combustion, pp. 1501–1509. Pittsburgh: The Combustion Institute. Downloaded from http://rsbm.royalsocietypublishing.org/ on June 15, 2017 Graham Dixon-Lewis 53 (40) 1988Numerical modelling of strained flames with complex chemistry. In Proceedings of the Workshop on Gas Flame Structure, Novosibirsk, July 1986, part 2 (ed. V. K. Baev), pp. 1–19. Novosibirsk: USSR Academy of Sciences Siberian Division, Institute of Theoretical and Applied Mechanics. (41) 1989 (With R. J. Kee, J. A. Miller & G. H. Evans) A computational model of the structure and extinction of strained, opposed flow, premixed methane–air flames. In Twenty-Second Symposium (International) on Combustion, pp. 1479–1494. Pittsburgh: The Combustion Institute. (42) 1990Structure of laminar flames. Invited Plenary Lecture. In Twenty-Third Symposium (International) in Combustion, pp. 305–323. Pittsburgh: The Combustion Institute. (43) 1991 Configuration effects in opposed flow premixed flames. In Flame Structure (ed. O. P. Korobeinichev), vol. 1, pp. 66–69. USSR Academy of Sciences, Siberian Division. (44) (With D. Bradley, S. El-Din Habik, L. K. Kwa & D. El-Sherif) Laminar flame structure and burning velocities of premixed methanol–air. Combust. Flame 85, 105–120. (45) (With D. Bradley & S. El-Din Habik) Oxidation rates of carbon particles in methane–air flames. Combust. Flame 86, 12–20. (46) 1994 (With D. Bradley, Z. Chen, S. El-Sherif, S. El-Din Habik & G. John) Structure of laminar premixed carbon–methane–air flames, and ultrafine coal combustion. Combust. Flame 96, 80–96. (47) 1997 Flammability and chemical inhibition. Invited lecture. In Proc. Second International Seminar on Fire and Explosion Hazards of Substances and Venting of Deflagrations (ed. V. Molkov), pp. 72–86. All Russian Research Institute for Fire Protection; Russian Association for Fire Safety Science. (48) 2006 Laminar premixed flame extinction. II. Combined effects of stretch and radiative loss in the single flame unburnt-to-burnt and the twin-flame unburnt-to-unburnt opposed flow configurations. Proc. R. Soc. A 462, 349–370. (49) 2011 (With R. Zheng, P. H. Gaskell & J. L. Summers) Effects of stretch and radiative loss in fuel–lean hydrogen–air flames. In Proc. Sixth International Seminar on Fire and Explosion Hazards (ed. D. Bradley, G. Makhviladze & V. Molkov), pp. 504–515. Singapore: Research Publishing.
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