Purdue University Purdue e-Pubs International Compressor Engineering Conference School of Mechanical Engineering 1986 Comparison of Various Dampers Effect on the Reciprocating Compressor Work the Pressure Pulsations Quantity in an Discharge Pipeline M. Luszczycki Follow this and additional works at: http://docs.lib.purdue.edu/icec Luszczycki, M., "Comparison of Various Dampers Effect on the Reciprocating Compressor Work the Pressure Pulsations Quantity in an Discharge Pipeline" (1986). International Compressor Engineering Conference. Paper 591. http://docs.lib.purdue.edu/icec/591 This document has been made available through Purdue e-Pubs, a service of the Purdue University Libraries. Please contact [email protected] for additional information. Complete proceedings may be acquired in print and on CD-ROM directly from the Ray W. Herrick Laboratories at https://engineering.purdue.edu/ Herrick/Events/orderlit.html COMPARISON OF VARIOUS DAMPERS EFFECT ON THE RECIPROCATING COMPRESSOR WORK AND THE PRESSURE PULSATION QUANTM IN AN DISCHARGE PIPELINE. Marian ~ezczycki, Docent of Mechanica l Engineeri ng The Institute of Industria l Apparatus and Energetic s, Politechn ika Krakowska , Krak6w, Poland AllSTRACT Tbe paper presents the pressure pulsation dampers of small hydraulic resistanc e and the most coomon criteria for the evaluatio n of their damping efficienc y. The results of experiments on the effect of the location and the inside structure of dampers on damping efficienc y in a disoharge pipeline on the work of the reciproca ting compresso r have been presented . Some of these experimen ts were done on an electric analoge, others on a specially prepared laboratory stand. Tbe results of the tests have been listed and discussed , on the basis of which some practical cone lusions were drawn. INTRODUCTION Pressure pulsation s of high amplitude s occur in the reciproca ting compresso r installati ons as a result of the cyclic work of these machines. E:rcessive pressure pulsation s effect unfavoura bly both the work of the compresso rs and the compresse d gas installati ons. In order to eliminate such negative effects the resonance phenomena in the installati ons should be prevented and the absolute values of pressure pulsation s should be reduced. The reduction of the absolute values of pressure pulsation s can be achieved by a proper configu.ra t ion and dimension ing of the installati on and a proper choice and location of pressure pulsation dampers (1], [4], [51. 1116 PRESSURE PULSATION DAMPERS For pressure pulsation damping in the compressed gas installati ons the pulsation dampers are applied. There are various designs of many types of dampers and patents attached but they exist with no full scientific grouds for their development and applicatio n. That is why· many disappoin tments arise when the dampers which operate efficient ly with one installati on are completel y unreliabl e and have the opposite effect in a case of some other installati ons. A damping effect much depends on a location of the damper in the installati on as well as a character istic impedance of the technolog ical elements and fittings incorpora ted in the pipeline beyond the damper. A proper selection of a pressure pulsation damper for a given installati on is condition ed by taking into account the influence of all those parameter s upon the operation efficienc y of the damper. Additi.ona .lly, the considera tions should include the influence of the damper itself upor1 pressure pulsation rune both before and beyond it because the damper constitut es a certain concentra ted inclusion in a homogeneous pipeline section. Such a complex examinati on of a pressure pulsation damper selection for a reciproca ting compresso r installati on requires solving tbe partial different ial equations which describe a pulsating gas flow a.long with the boundary condition s adequate for the examined installati on. This task may be solved eithes by means of the electro-ac oustic analogies using a.n analog or by the numerical methods on a digital computer [2), 131, [5). A damper designed for the eliminatio n of the excessive pressure pulsation s in the reciproca ting compresso r pipelines should meet the follo~ing requireme nts: • simple design, ease of making and assemblin g • smell overall dimension s • reduction of pressure pulsation absolute values as much as possible • small hydraulic resistance • no harmful reverse effect upon compresso r work. A coefficie nt o£ pressure fluctuatio ns in the pipeline behind the damper must not exceed the quantitie s aclalowledged permissib le. The presented requireme nts are well satisfied by chamber damper single chamber and two-chamber resonance damper with a perforated central pipe. and a resonance chamber damper /Fig.1/. These types of dampers are recommended by the author to be applied for pressure pulsation damping in the gas compresso r station installati ons. 1117 DAMPING EFFECT EVALUATION CRITERIA The measure of pressu re fluctu ation in the pipeli ne is a coeffi cient of pressu re fluctu ation determ ined as a ratio pressu re pulsat ion absolu te va.lue .1pa and mean pressu .re of a p0 in the pipeli ne e =~~ 0 Po ··························~··············· I 1I To evalua te the effect of pressu re pu.lsa tion reduct ion Qy means of a damper it is necess ary to find a criter ion this effect may be e:xpressed in a numer ical form. SuchQy which a criter ion should also be a basis for comparing the effect s of opera tion of variou s dampers in a given instal lation as well as indica te which damper is the best to be used under the given condi tions. Damping Ratio, MOst freque ntly used for measu ring the effect of pressu re pulsat ion reduc tion in the pipeli ne is the damping ratio Kt descri bed as the ratio of pressu re pulsat ion coeffi cients in the pipeli ne before and behind the damper. Kt s1 =~ 2 •••••••••••••••••••••••••••••••••••••••••• /z/ In case of a damper with small hydrau lic resist the damping ratio is descri bed as the ratio of pressu re,ance, ,PUlsa tion absolu te values before and behind the damper /Fig, 21. ·~····································· /3/ A damping ra.tjo define d in this way is conve nient to use in experi menta l testin g of dampers to compare their constr and evalua te the influe nce of differ ent struct ural eleme uction nts on a degree of pressu re pulsat ion reduct ion, It shoud be remembered that damping ratio is oha.:r acteris tic of damping effect of dampers mere~ under certai n ideali sed tions, extrem ely rare in practi ce, It is assumed that incondi the pipeli ne sectio ns before and behind the damper only the progre pressu re waves of consta nt amplit udes are propag ated ssive /Fig.2 /, 1118 Total Rate of Pressure Pulsation Damping. The most general evaluation criterion of damper effective operation is the total rat.e of pressure pulsation damping K which determines lowering of a general pressure pulsation g level along the whole length of piping. It includes the effect of reducing the pressure pulsation absolute ·~ra.1ues both before and behind the damper [ 1). If .6pam denotes a maximum pressure pulsation absolute values along the pipeline in the installatio n without dwnper /Fig.}a/ and this maximum is denoted as Apamt after having installed the damper /Fig.3b/, then the total rate of pressure p\tlsation damping can be defined a.s the ratio or· those maximum values. bp K g =~ ........... ........... ........... ....... /4/ 6p'!!Jllt The evaluation of damper effective operation by means of a. total rate of pressure pulsation damping Kg must be based on tbe knowledge of how pressure pulsation absolute values run along the pipeline. First, pressure pulsation absolute values along the pipeline without damper should be calculated including all the installed elements of equipment and fittings /coolers, oil separators, valves, etc./. Next, the a.:na.logical pulsation can be used after developing a way of calculating the pulsation absolute values along the pipeline including the installed elements. The total rate of pressure pulsation damping illustrates fully tbe reduction of the general level of pr.:tssure pulsations in the installatio n owing to the use of damper. The Aim a.nd Methodology of Research, The aim of the experiments wa.s to define the effect of the location and the inside structure of a damper on the efficiency of pressure pulsation damping in a discharge pipeline and on the work of a reciprocati ng compressor. The experiments were carried out on a discharge pipeline of a laboratory compressed air insta.Uatio n and on its equivalent electrical model. The air was pressed by a single stage, single cylinder, single acting air compressor with the cylinder of 160 [ mm] diameter and piston stroke of 150 [ mm I • The compressor was driven by a d.c. electrical motor whose rotational speed was regulated steplessly in the range 200- 1500 [rev/mini • Fig. 4 presents a. three-dimen sional diagram of the discharge pipeline with the given dimensions. The discharge pipeline 81,5 lmml in diameter and 10,2 (m] length was terminated by a. severely throttled valve. It was assumed that such a terminal meets the conditione of complete acoustic closure /z =co/. 1119 The experim ents on the effect of the damper locatio n on the effich ncy of pressu re pulsat ion dampin g in a discha rge pipelin e and on the work of a recipro cating compre ssor were carried out on an electr ical model of a discha rge pipelin e. The efficie ncy of the damper operat ion was measur ed by total rate of pressu re pulsat ion dampin g K , and the effect of the g damper on the compre ssor work vas measur ed by the absolu te value of pressu re pulsat ion ~P in the pipelin e behind the a compre ssor. The experim ents on the effect of the inside structu re of a damper on the efficie ncy of pres~~re pulsat ion dampin g in a discha rge pipelin e a,nd on the work of a recipro cating compre ssor were carried out on a labora tory stand. The efficiency of the damper operat ion was evalua ted by means of dampin g ratio Kt, and the effec·t of the damper on the compre ssor work by means of the power delive red to the electr ical driving motor Nel and the overal l volume tric efficie ncy which was define d as A, m Ill A.= --:- -mt V8 n 60 r;d ······· ··8··· ······· ······· /5/ where: m- the real delive ry of the compre ssor measur ed in a discha rge pipelin e, m,t - theore tical delive ry of the compre ssor, V - swept volume of cylind er, rotatio nal Speed of the s compre ssor shaft, qd. - density of auction medium. n- THE P.ESULTS OF EXPERIMENTS The Effect od Pressu re fulsati on ::Jamper Loca.tic •n, The experir uent.s on the effect, of the locatio n of a damper on the efficie ncy of pressu re pu leat .ion dampin g in a discha pipelin e and on t.he work of a recipro cating compre ssor rge were carried out a.t consta. nt absolu te pressu re of 3 [bar) of the outlet and rQtat.i onal speBds varyin g in the range )00 1300 [rev/m in] • Below are presen ted some exampl es of the reS'..lH s •)f the tests in case wl1en a chambe r damper was used for pressu re pu 1 s<>.t ion d<nnring. Fig. 5 and 6 ah:::-w in dh.gr.arJJs of fortnul a l::!.pa = f/1/ the result s of tests on the effect r:..•f locatio n of a. chambe r damper on its efficie ncy a.t rot,aUo nal speed of 500 and 900 I rev/mi ni. Tbe chamber- damper of o.09)6 !m3I of \f(\lUnte was plaeed at the distanc e of 0,3, 1,875 and 5,325 !ml from the Mmpre t!sor. In Table 1 are shown, for beth rota.tit mal speeds a.nd partic ular distan ces, absolu te values (•f presau_ re pulsat ion D.p in the a pipeHn e b€-hind the oompre Mor a.s wel1 as the valves of total ll20 rate of preasure pu"isa1;ion of pressure fluctuatio n pressor. K and trlfi.Ximum ~~o!i>fficient in the g :.;•i;')eline behind 'the com- d~unping am '!'able 1 !'J P,,. Distance between (·!'.1<'>1nber damper and compresso r [ m] K g sm (bar) ')OO [rev/min] 0,3 1,875 0,19 3,00 0,027 0,355 1.61 o,o:;z 5,325 1,58 o,;6 o.197 0,34 1,53 0!033 0,56 0,93 o,053 1,09 0,48 o,oe 900 [rev/min] 0 'I '"' 1, 875 5,325· From the diagrams of formula t. p a = r/1/ p:t•esented in Fig. 5 and 6 the significan t effeqt of the 1ocat ion c;f'' r.. chamber damper on the efficieno y of its (.•pera.tion becomes evident. Placing it at, the dieta.nce of ;,325 [ml from the compressor caused a signif!can ! rise in pressure p1Jtlsatit>n absolute values immediate ly behind the compresso r in compariso n wit.h those in the pipeline witl:l¢ut a damper. 'l'he effect of a chamber d<iJl~Per location on the pressure puls~tion rate numeric~lly character izes the total rate of p~esw.re pulsation damping. The sma1ler the distance between the c.ompresso r and damp&I'• the weaker the influence of air pulsa.t 1ng stream on the compresso: t· wo~k and lower tbe pressure pula.ation absolute va.luea in the pipeline behind the damper. When this distance is longer, the press-J.re pulsation absolute values or~ t.he ecmpreaso: r--damper and behind the damper sections rise. The Effect of the 1'res:aure Pulsation Damper Inside Structure . The investiga tion on the effect of the damper inside structure on its damping efficienc y in a discharge pipeline and on the work of a reo.ipr.oca ting compresso r was carried out at the constant absolute pressure of 3 [bar] of the outlet and rotational speeds between 500 and 1300 [rev/min I .. A single chamber damper and double chamber resonance dampers with perforate d central pipe were tested as well as resonance chamber damper and chamber resonance damper. In the double chamber resonance 1121 i damper the proportio n of chamber volwnens was changed. All the tested dampe~a had the same inside diameter of 0 9 499 [ml and length of 0,604 lml • The perforatio ns of the central pipeline of the resona.r1ce dampers were 11 [mm) in diameter. The dampers were placed at 0,3 lml from the compresso r. On the basis of the experiment.li! it was found that the change of the inside structure of tbe damper placed in a discharge pipeline at o,; lml from the compresso r does not practical ly affect the overall volumetri c efficienc y X • The effect of the damper inside structure on the electric power N required for compressi ng 11nd dampi.ng ratio was shown in e1 • • Fig. 7 and 8 as diagrams of formulae N , .. £/D/ and Kt = f/n/. 8« From the diagrams it is evident that the inside structure of the damper placed at this distance from the compresso r affects significa ntly the damping .ratio and has a. negligibl e effect on the electrica l power necessary for compressi ng. On the whole, the best l"estdts were obt.ained in case of a single chamber resonance damper. CONCI.O"SIONS On the basis of the invest.iga tion it wa.a found that the location of a damper in a. discharge pipeline has an essential effee:t on the effic1ene y of pressure pulsa.Uon damping a.nd the work of a. compresso r. The in.eide structure of a. damper placed at an optimum point of a di.scharge pipeline does not have any practical effect t.he V()lumet.ri c effi~iency, .s. minor effect on the power f()r compressi on and a signific-a nt effect on the damping ratio. By changing the inside stru.ct.ure of a. damper the damping of particular . harmon.lc coiii)Xmente of a pulsating gas flow can be a.ffe,::ted. 'm 1. M. ht.szozyck i, Oritericm!' l for the Evaluatio n of the Effecti- veness of t!"!e PresBl.U"e -Pulsa.tion -Damper. Pro<!eedin gs of the 1976 Purdue C0mpresso r Technology Conferenc e, West Lafayette 1976. 2. M. I.uszczyck i, Electrbh:L i'-'.ade: of a. Single Resonance Chamber Damper of Pressure Pulsation . l'roc.eedin gs of Conferenc e Design ani Operation of Indust.ria l Compresso ra, I10ndon 1978. ). M. tuszezyc,k i, R<~~ona.toro-wy H'"<.llll.ik pu.lsacji ciSnienia gazu. Patent PRL nr 128640. 4. w. 5. R. :")ingh. 'tl. 3oedelt A Review of Compl:{;>ssor Lines Pulsation Analysis 'lnd Muffler Design. Research - Fart I : Pulsation "Sffecta s.nd l'fu !'fler Crit er.ia, Part II : Analysis of Pulsating Nimitz, Pltls.iJ<.t.ion a.tld Vibr<ttion . "PiJ:le Line Industry" 1968, Augu_st - l"cn•t I, ::;..,.ptembet• - Fa.x·~ H. 1122 Flows. ProceedirJg~ of the 1974 ?urd;.~.e Lafay~tte 197~. Corapreusor Technology Conference, West a Fig. 1, ~~~~ c pulsation dampers: a- chamber, b- e~ngl. ohallber reeonance, c - tw-chamber reaonanoe, d - reeonance-ohaaber. Fig. 2. DiagrBII to detemine damping rate: s- co~r..eor, T- damper. \ ', .ll.pom'---- -----.. ........ ', a ds . . . , - - .... , u ------- . . -T-...--""'. -\j~Po~-.,..... b Fig. 3. Diagram to determine the tota.l rate of pr.~eu;re pula&tiODII damping.. 1123 6270 ,-+-------------------------~~~~--------------------------i~ II gl 521 I-' I-' N .,. Fig. 4. Three - dimensional scheme of discharge pipe1ine1 S - compressor, P- points of pressure pulsation recording, Z - throttle valve, T - damper. liPa [bar] 1[bar] = 14,503 [psi] fJ .s";. 3 "' _l]Il I\ \ 500[rev/min] \ 1.2 1,L 0.9 // ' 01 -....;;;: \ 1\ -. r- 2.30 _1 .......... ,... / ~ / t:/ 3/.5 kl ;:::;-. ...- r~ \II --- [\,.-' I-- r-1- !~ ~ t/ ~ r--.. 1\./r-2 ~ ~ 0.1 !~ I \ ~ 0.2 0 ~ _\ 0.6 0.3 ~ \ 08 Q5 ~ --- \ \ 1.0 -- 4.60 / 5,75 6,90 BJJ5 ~ 9.20 10.2 L[m) Fig. 5. Diagrams of 6p ., r/1/ for different distances of chamber damper from compressor at 500 [rev/min]: 1 - outlet pipeline without chamber damper, 2 - chamber damper at 0,3 [ml , 3 - chamber damper at 1,875 [m] , 4- c~ ber damper at 5,325 [m]. 1125 l!Jb [bar] 16 1lbar)::: 14,503 [psi) t _ _l_U__ j____ I 1,4 ! 900 [reV/min] i 13 12 11 10 1\ Q9 QB \ ) 1\ \ ~ 07 Q6 0/. Q3 Q2 0;I / \ f- ~ // v 1\ v ·--- t--- j - I -- 1\\~ \ -~ r---. f---- - -- 1-- 1\ vd b- )...-a"' 0 1.15 ,_!_ ~ ~ +----- -·- . - ~ -. \ \-\ ' -gr--.._, ·"' · -- · ---- .. ,. / v v !?" v .... ~ ~ '"-<l ___., ---- v r-, -- f..-- r-v -"' _.Do ~ I 2)) . 4.60 5,75 /.' r-1- .-"' ~ 1--o ~ JJ~ I-' 6,90 8.05 9,20 10,2 l [m] Fig. 6. Diagrams of lip =f/1/ fo:r:- different distances of ehamb6r damper from eompnssor at 900 I rev/min) r 1 - outlet pipeline without or~ber damper, 2 - chamber damper at 0,3 lml , 3 - chamber dampor at 1,875 Iml , 4 - chamber damper at 5,325 [m]. 1126 1lkWI = 1,304 l hpJ Nel (Wi) 14 12 I -G ~ ~ ~ m - e 10 8 ..... ..... N -1 6 900 & single cbllaber re~.nanc• [rev /mi nj 1 l:JO 1 (kW] ~~ 1,3 -§ I 14 12 I - I v ~ )v I I 8 / I 7 v J /_ 10 6 =1304 [hpJ I I v 7 v v [7 4 3 2 t-.., --.v l..----"" / .......____ 0 500 Fig. 900 s. mo sao Diagrams of fol'llllllae N = 91 r/:V / v--' ..... . / 900 [rev/min] 1300 and Kt'"' r/~ for a resonanc e chamber damper and a chamber resonance damper. 1128
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