652 Energy & Fuels 2008, 22, 652–656 Experimental Investigation on the Fuel Properties of Biodiesel and Its Blends at Various Temperatures Seung Hyun Yoon,† Su Han Park,† and Chang Sik Lee*,‡ Graduate School of Hanyang UniVersity, 17 Haengdang-dong, Sungdong-gu, Seoul 133-791, Korea Department of Mechanical Engineering, Hanyang UniVeristy, 17 Haengdang-dong, Sungdong-gu, Seoul 133-791, Korea ReceiVed April 25, 2007. ReVised Manuscript ReceiVed September 13, 2007 An experimental investigation was performed to find out the fuel properties including specific gravity, density, and viscosity of diesel and biodiesel fuel in the temperature range from 0 to 200 °C. Test fuels used were a conventional diesel, neat biodiesel (100% methyl ester of soybean oil), and their blends with blending ratios of 20%, 40%, 60%, and 80%. In order to analyze the fuel properties, the experiments were carried out at various temperatures for each of the six test fuels and the resulting measurements of the biodiesel and its blends were compared with the properties of conventional diesel fuel. In this work, the specific gravity of biodiesel fuel increased with the increase of the blending ratio of biodiesel and gradually decreased as the fuel temperature increased linearly. The density value measurement was correlated as a function of fuel temperature and blending ratio by an empirical equation. The viscosity of the test fuels was found to decrease linearly with increasing temperature and decreasing blending ratio. The kinematic viscosity obtained by this investigation agrees well with the empirical equation which is derived from the measured results. 1. Introduction Biodiesel fuels derived from vegetable oils or animal fats and which are used as substitutes for conventional petroleum fuel in diesel engines have recently received increased attention. This interest is based on a number of properties of biodiesel including its biodegradability and the fact that it is produced from a renewable resource. These features of biodiesel lead to its greatest advantage, which is its potential for emission reduction. Though the environmental potential for emissions reduction exists, vegetable oils have high viscosity and high pour points relative to diesel fuel. The high viscosity of vegetable oils such as biodiesel and its blends tend to alter the injector spray pattern inside the engine, causing fuel impingement on the piston and other combustion chamber surfaces. This leads to the formation of carbon deposits in the engine, eventually resulting in problems such as stuck piston rings in the cylinder and subsequent engine failures, which would not otherwise occur using diesel fuel. The undesirable characteristics of vegetable oils can be substantially mitigated by replacing the triglyceride molecules present in the oils with lighter alcohol molecules such as methanol or ethanol. This reaction is carried out in the presence of a catalyst and produces glycerol in addition to transesterfied vegetable oils that are given the generic name of biodiesel.1,2 The positive effects of biodiesel on diesel engine emissions have been demonstrated by a number of previous studies.3–6 The regulated and unregulated exhaust emissions from diesel engines * Corresponding author. Tel.: +82-2-2220-0427. Fax: +82-2-2281-5286. E-mail: [email protected]. † Graduate School of Hanyang University. ‡ Hanyang Univeristy. (1) Bechtold R. L. AlternatiVe Fuels; Society of Automotive Engineers: Warrendale, PA, 2002. (2) McDonald, J.; Kittelson, D. B. 950400, Society of Automotive Engineers: Warrendale, PA, 1995. (3) Sharp, C. A.; Howell, S. A.; Jobe, J. 2000-01-1967, Society of Automotive Engineers: Warrendale, PA, 2000. with biodiesel and blended fuel were measured by Sharp et al.3,4 In their research, it was shown that the measurable HC emissions were generally eliminated, while CO was reduced roughly 40% by using a neat biodiesel. However, the NOx emissions increased by 12% due to the oxygen content in biodiesel. Dorado et al.5 investigated the reduction characteristics of biodiesel fuel in a diesel engine in a comparison between the emissions of diesel fuel and the exhaust emissions of biodiesel derived from waste olive oil. This revealed that used olive oil methyl ester can significantly reduce emissions of CO (emission reduction of 58.9%), CO2 (8.6%), NO (37.5%), and SO2 (57.7%) compared to diesel fuel. While biodiesel does have numerous advantages, it has different properties compared with diesel fuel, as listed in Table 1. It has a higher viscosity, specific gravity, density, cloud point, and pour point than petroleum diesel fuel, and these specificities have a significant influence on the fuel spray atomization and evaporation characteristics, resulting in changes in the combustion process.6,7 In actual engine operation, fuel temperature in the injector nozzle sac ranges from 160 to 260 °C.8 Therefore, the effect of fuel temperature on fuel properties such as specific gravity, density, and viscosity behavior is very important. Many researchers have developed methods and empirical models for measuring and predicting specific gravity,9,10 den(4) Sharp, C. A.; Howell, S. A.; Jobe, J. 2000-01-1968, Society of Automotive Engineers: Warrendale, PA, 2000. (5) Dorado, M. P.; Ballesteros, E.; Arnal, J. M.; Gomez, J.; Lopez, F. J. Fuel 2003, 82, 1311–1315. (6) Lee, C. S.; Park, S. W.; Kwon, S. I. Energy Fuels. 2005, 19, 2201– 2208. (7) Arregle, J. M.; Desantes, J. M.; Pastor, J. V.; Delage, A. 980802, Society of Automotive Engineers: Warrendale, PA, 1998. (8) Kato, M.; Takeuchi, H.; Koie, K.; Sekijima, H.; Kajitani, S.; Chen, Z. L.; Hashimoto, S. 2004-01-0081, Society of Automotive Engineers: Warrendale, PA, 2004. 10.1021/ef7002156 CCC: $40.75 2008 American Chemical Society Published on Web 11/15/2007 Properties of Biodiesel and Blends Energy & Fuels, Vol. 22, No. 1, 2008 653 Table 1. Specifications of Diesel and Biodiesel Fuels16 Table 2. Test Fuels fuel property diesel biodiesel fuel type abbreviation fuel standard lower heating value, Btu/gal kinematic viscosity, @ 40 °C specific gravity, kg/L @ 60 °F density, lb/gal @ 15 °C water and sediment, vol % carbon, wt % hydrogen, wt % oxygen, by dif. wt % sulfur, wt % boiling point, °C flash point, °C cloud point, °C pour point, °C cetane number lubricity SLBOCLE, g lubricity HFRR, µm ASTM D 975 ∼129050 1.3–4.1 0.85 7.079 0.05 max 87 13 0 0.05 max 180–340 60–80 -15 to 5 -35 to -15 40–55 2000–5000 300–600 ASTM D 6751 ∼118170 4.0–6.0 0.88 7.328 0.05 max 77 12 11 0.01–0.0024 315–350 100–170 -3 to 12 -15 to 10 48–65 >7000 <300 diesel (ULSD) 100% diesel 80% + biodiesel 20% (vol) diesel 60% + biodiesel 40% (vol) diesel 40% + biodiesel 60% (vol) diesel 20% + biodiesel 80% (vol) biodiesel (methyl ester of soybean) 100% D100 B20 B40 B60 B80 B100 sity,11 dynamic viscosity,12,13 kinematic viscosity,13–15 and pour and cloud point12 of biodiesel and its blends dependent on fuel temperature. In general, combustion and emission characteristics of diesel engine are greatly affected by the atomization of fuel sprays. In turn, fuel atomization and evaporation are strongly influenced by fuel properties such as specific gravity, density, and viscosity. Even though there has been much research on the physical properties, the liquid properties of biodiesel fuel and its blends with diesel fuel in the higher temperature region have not yet been sufficiently investigated. The objective of this study is to investigate experimentally the effect of temperature on the specific gravity, density, and dynamic and kinematic viscosity for diesel, biodiesel, and blending fuels over the temperature range of 0–200 °C. In order to analyze the physical properties of biodiesel fuel, six kinds of test fuels such as neat methyl ester soybean oil, diesel fuel, and various biodiesel blended with diesel fuel were investigated. On the basis of results of the experiments, the variation of dynamic viscosity, density, and their properties due to the fuel temperature were compared with those of diesel fuel. In order to obtain the correlation between the temperature and fuel properties, the measured results of density and viscosity are correlated and analyzed as empirical equations based on the results of biodiesel fuels at various temperature conditions. 2. Experimental Apparatus and Procedure 2.1. Test Fuels. In the measurement of fuel properties, test fuels used in this work were a neat biodiesel (100%) and its blends of 20%, 40%, 60%, and 80% with a conventional diesel fuel. The biodiesel fuel is a 100% methyl ester of soybean oil (Kaya Energy, B100), meeting the ASTM D 6751 specifications. The diesel fuel (ultra low sulfur diesel fuel (ULSD)) with 18 ppm sulfur (maximum) is used as the reference fuel for this study of biodiesel and blends, and it meets the ASTM D 975 standard specification for diesel fuel. (9) Tat, M. E.; Van Gerpen, J. H. Oil Chem. Soc. 2000, 77, 115–119. (10) Yuan, W.; Hansen, A. C.; Zhang, Q. Agric. Eng. Int.: CIGR J. Sci. Res. DeV. 2004, 4, EE 04 004. (11) Tate, R. E.; Watt, K. C.; Allen, C. A.; Wilkie, K. I. Fuel 2006, 85, 1004–1009. (12) Joshi, R. M.; Pegg, M. J. Fuel 2007, 86, 143–151. (13) Rinke, K. G. Fuel 2004, 83, 287–291. (14) Tate, R. E.; Watt, K. C.; Allen, C. A. W.; Wilkie, K. I. Fuel 2006, 85, 1010–1015. (15) Krisnangkura, K.; Yimsuwan, T.; Pairintra, R. Fuel 2006, 85, 107– 113. (16) Biodiesel handling and use guidelines. In Energy Efficiency and Renewable Energy, 3rd Ed.; DOE/GO-102006-2358, Department of Energy: Washington, DC, September 2006. Figure 1. Schematic of experimental apparatus. Biodiesel blends are made on the basis of volume (vol %) and the blending ratios range from 20% to 80% by intervals of 20%. During the blending process, diesel and biodiesel fuels were stirred continuously to ensure proper and uniform mixing. All the blends were stored in dark brown, hermetically sealed glass bottles, kept at the room temperature to prevent contamination and alteration of the test fuels. Table 2 lists the tests fuels and their compositions used in this experiment. 2.2. Specific Gravity and Viscosity Measurements. Figure 1 shows a schematic of the experimental apparatus. A hydrometer, a viscometer (Brookfield, LVT), and a sample tube (Brookfield, UL adapter) were used to measure the specific gravity and the dynamic viscosity of the test fuels. The principle of a viscometer is to measure the torque necessary to overcome viscous resistance to the induced movement when the sensing element (spindle) is rotating in a test fluid. In order to measure the fuel properties at the fuel temperature range of 0–200 °C, two devices were designed. In this investigation, thermoelectric refrigerating was installed around the sample tube. In order to heat and maintain a constant temperature range of 20–200 °C, a heating device and thermocouples were attached to the bath and wrapped with an adiabatic insulator. Two 0.8 mm K-type thermocouples (Omega, KMTSS040U-12) were set up on the upper and lower sides of the measuring cylinder for the measurement of specific gravity. In the viscosity experiment, three K-type thermocouples (Omega, KMTSS-020G12) were set up in the refrigerated bath and sample tube to control the fuel temperature. Measurements were obtained when the temperature difference between two thermocouples was within (0.1 °C. All tests were carried out in a large chamber designed to enhance the accuracy of measurement by isolation of the system from external factors. Enough time was allowed before each measurement started for the constant temperature bath and spindle to reach a set temperature. Whenever test fuels were changed, the sample tube was cleaned out, and the viscometer was verified using a viscosity standard fluid (Brookfield, viscosity standard) to maintain accuracy during the experiment. The temperature was varied in steps of 10 °C from 0 to 200 °C. The measurements of viscosity were carried out at different spindle speeds as illustrated in Table 3. Spindle speeds (shear rates) adjusted 654 Energy & Fuels, Vol. 22, No. 1, 2008 Yoon et al. Table 3. Setup for Viscosity Measurementsa spindle speed (rpm) shear rate (s-1) factor (K) 60.0 30.0 12.0 6.0 73.38 36.69 14.68 7.34 0.1 0.2 0.5 1.0 a The viscometer reading value × conversion factor ) dynamic viscosity (mPa · s). Table 4. Measured Specific Gravities for the Temperature Range from 0 to 200 °C specific gravity temperature (°C) D100 B20 B40 B60 B80 B100 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 0.837 0.83 0.822 0.818 0.81 0.808 0.8 0.795 0.785 0.78 0.773 0.771 0.762 0.757 0.75 0.744 0.738 0.732 0.724 0.715 0.708 0.852 0.844 0.837 0.832 0.826 0.819 0.813 0.808 0.8 0.792 0.784 0.778 0.77 0.763 0.757 0.749 0.743 0.737 0.729 0.722 0.718 0.862 0.858 0.848 0.838 0.832 0.83 0.822 0.818 0.81 0.804 0.797 0.788 0.782 0.772 0.765 0.759 0.752 0.748 0.741 0.732 0.727 0.871 0.863 0.857 0.852 0.846 0.84 0.833 0.827 0.819 0.813 0.807 0.801 0.793 0.787 0.779 0.771 0.764 0.758 0.751 0.745 0.738 0.88 0.873 0.869 0.862 0.854 0.85 0.843 0.838 0.831 0.822 0.817 0.809 0.803 0.797 0.789 0.782 0.773 0.766 0.76 0.752 0.747 0.888 0.88 0.87 0.865 0.86 0.852 0.846 0.84 0.832 0.828 0.821 0.817 0.812 0.799 0.794 0.79 0.786 0.781 0.775 0.767 0.756 for viscosity range according to the different test fuels and fuel temperatures. 3. Results and Discussion 3.1. Specific Gravity and Density. The specific gravity is the ratio of the weight of a given volume of a substance to the weight of an equal volume of some reference substance (universally, water at 4 °C, FH2O ) 1000 kg/m3) or the ratio of the mass of equal volumes of the two substances. The specific gravity measured as a function of fuel temperature (0–200 °C) is provided in Table 4 for various blending ratios (0–100%) of biodiesel. Specific gravities of test fuels increased proportionally to the blending ratio of biodiesel. As fuel temperature was increased from 0 to 200 °C, specific gravities of the fuels decreased in accordance with the increase in fuel temperature. Figure 2 shows a comparison of the density for D100, B100, and blends (B20–B80) and the density results obtained by Tat et al.;9 the lines indicated first-order polynomial fits of the density results as function of temperature. In the case of B100, the results are nearly to equal those of Tat et al.9 such that the maximum absolute deviations are about 0.805–1.123% error over the entire temperature range, even though the test fuels were made from different products. In the measured temperature range, the densities of B100 and D100 decrease according to the fuel temperature, as the slopes of the density curves have similar reduction rates. The mean difference is about 47.619 kg/m3 for two test samples. These similar trends could be found in other studies, such as those by Tat et al. and Yuan et al.9,10 The density of biodiesel fuel blended with diesel increases in accordance with an increase in the blending ratio. In addition, it can be seen that the density of blended fuel decreases with increasing temperature from 20 to 200 °C. Further, with the increase of blending ratio of biodiesel fuel, density values also Figure 2. Relation between density and fuel temperature of diesel, biodiesel, and blended fuels (B20–B80). Table 5. First-Order Polynomial Equations for the Density of Test Fuels (0–200 °C) fuel type empirical eq for density R2 D100 F ) 836.991 - 0.628T (1) 0.998 B20 F ) 852.584 - 0.682T (2) 0.999 B40 F ) 862.615 - 0.681T (3) 0.998 B60 F ) 872.165 - 0.667T (4) 0.999 B80 F ) 882.589 - 0.675T (5) 0.998 B100 F ) 884.468 - 0.626T (6) 0.997 increased linearly. The average difference of these densities is about 10.222 kg/m3 within each blending fuel in steps of 20% blending ratio. In this study, the density results have been correlated as a function of fuel temperature by empirical first-order polynomial eqs 1–6 in Table 5. In eqs 1–6, the lowest correlation coefficient squared (R2) is 0.997 and the average R2 is 0.998, which indicates very close agreement between the measurements and these equations. The empirical equation for the density of biodiesel (B100) and its blends (B20–B80) as a function of temperature is Fcal ) 845.7616 + 0.41871rmix - 0.70115T + 5.844 × 10–4rmixT (7) where Fcal is the density (kg/m3), rmix is the blending ratio of biodiesel (%), and T is the fuel temperature (°C). Table 6 shows the comparison of calculated density values (Fcal) from eq 7 with measured density values (Fmeasured) dependent on the fuel temperature (0–200 °C) and blending ratio (B20–B100) of biodiesel. Figure 3 shows the error rates between the measured and calculated density from eq 7 for blends (B20–B80) and biodiesel. At all blending ratio and test temperature ranges, the highest error rate is within 0.6%. These result means that eq 7 provides good accuracy for the density of biodiesel and blends. 3.2. Dynamic and Kinematic Viscosity. Dynamic viscosity (mPa · s) is a measure of the resistance to flow of a fluid under an applied force. In this work, the spindle speed and shear rate were adjusted during the experiment because the dynamic viscosity changed with fuel temperature and type of samples. Properties of Biodiesel and Blends Energy & Fuels, Vol. 22, No. 1, 2008 655 Figure 3. Error rate between the measured and calculated density values (B20–B100). Kinematic viscosity (mm2/s) is a coefficient defined as the ratio of the dynamic viscosity of a fluid to its density. The values of kinematic viscosity obtained from the measurements of density and dynamic viscosity are shown in Table 7. Figure 4 shows the relationship between the dynamic viscosity and fuel temperature for various test samples. In this figure, excepting the results of B80 and B100 at 0 °C, the result of dynamic viscosity decreased linearly as the fuel temperature increased. The difference in viscosity among test fuels greatly diminished when the temperature reached 200 °C. As the blending ratio increased, the viscosity of the test fuel was a slightly higher value in the temperature range 0–80 °C. Comparison of measured kinematic viscosity between D100, B100, and blends (B20–B80) and the results of Tate et al.14 are shown in Figure 5. Tate et al.14 measured the viscosity of soy methyl esters (West central soy, IA) over the range of 20–300 °C using a modified Saybolt viscometer, and their results have a correlation coefficient squared (R2) of 0.951. In the case of B100, there is a similar trend between the current results and those of Tate et al.14 In particular, nearly equal values were obtained when the temperature was over 100 °C. In the lowtemperature range (0–10 °C), the viscosity of B100 was several times higher than that of D100, making it likely that fuel flow problems will occur in the actual engine injection system. The viscosity of all test blends diminished with rising temperature, just like that of B100 and D100. At a temperature of 0 °C, the B80 result was much higher than other blended fuels. The largest value of difference in kinematic viscosity between biodiesel and diesel was at a temperature of 0 °C, and as fuel temperature increased, the difference rapidly decreased in the range of 0–100 °C. At a fuel temperature of 200 °C, the difference between the two fuels shows the lowest value. Considering that the fuel temperature in the injector sac volume is over 200 °C in actual engine operation conditions,8 the influence of the high viscosity of biodiesel is not significant. However, when the fuel temperature is 0 °C, in the cases of B80 and B100, wax crystals are partially distributed, especially in B100. In contrast, wax crystals did not appear for blends of 20%, 40%, 60%, and diesel fuel. An empirical equation for kinematic viscosity of test fuel as a function of temperature is given by ( βT ) + γ ηemp ) R exp - (8) where η is the kinematic viscosity (mm2/s), T is fuel temperature (°C), and R, β, and γ are correlation constants that are correlated with fuel types. The correlation constants and correlation coefficient squared (R2) values for eq 8 are listed in Table 8. In eq 8, the fuel temperature range is limited to between 10 and 200 °C. A bound of 0 °C is excluded because the kinematic viscosity at that temperature is much too high when compared to other measured values, making it hard to generate a reasonable fit. The correlation constants for kinematic viscosity over the temperature range of 10–200 °C are shown in Table 8. As shown, the lowest value mean values of squared correlation constants are 0.994 and 0.995. Table 6. Measured and Calculated Densities of Blends over the Temperature Range 0–200 °C temperature (°C) fuel type B100 B80 B60 B40 B20 Fmeasured(kg/m3) Fcalculated(kg/m3) Fmeasured(kg/m3) Fcalculated(kg/m3) Fmeasured(kg/m3) Fcalculated(kg/m3) Fmeasured(kg/m3) Fcalculated(kg/m3) Fmeasured(kg/m3) Fcalculated(kg/m3) 0 20 40 60 80 100 120 140 160 180 200 888 887.633 880 879.258 871 870.884 862 862.51 852 854.136 870 874.779 869 866.171 857 857.563 848 848.955 837 840.347 860 861.924 854 853.08 846 844.241 832 835.399 826 826.557 846 849.07 843 839.995 833 830.919 822 821.844 813 812.768 832 836.216 831 826.907 819 817.568 810 808.288 800 798.979 821 823.362 817 813.819 807 804.276 797 794.733 784 785.19 812 810.508 803 800.731 793 790.954 782 781.177 770 771.401 794 797.654 789 787.643 779 777.637 765 767.622 757 757.611 786 784.8 773 774.555 764 764.311 752 754.067 743 743.822 775 771.946 760 761.468 751 750.989 741 740.511 729 730.033 756 759.092 747 748.38 738 737.668 727 726.956 718 716.244 Table 7. Measurements of Dynamic and Kinematic Viscosity of Test Fuels (0–200 °C) dynamic viscosity (mPa · s) kinematic viscosity (mm2/s) temp (°C) D100 B20 B40 B60 B80 B100 D100 B20 B40 B60 B80 B100 0 20 40 60 80 100 120 140 160 180 200 5.390 3.220 2.310 1.710 1.370 1.100 0.910 0.720 0.620 0.550 0.480 6.320 3.580 2.450 1.940 1.390 1.120 0.960 0.770 0.670 0.580 0.510 6.690 4.320 2.790 2.350 1.580 1.220 0.990 0.850 0.740 0.640 0.540 7.910 4.610 3.150 2.700 1.930 1.470 1.240 1.000 0.890 0.710 0.610 16.160 5.660 3.910 2.590 1.910 1.510 1.220 1.050 0.900 0.750 0.650 34.650 6.050 4.080 2.755 2.085 1.570 1.255 1.045 0.950 0.790 0.690 6.440 3.917 2.852 2.138 1.745 1.423 1.194 0.960 0.840 0.760 0.678 7.418 4.277 2.966 2.386 1.738 1.429 1.247 1.017 0.902 0.796 0.710 7.761 5.094 3.353 2.859 1.951 1.531 1.266 1.111 0.984 0.864 0.743 9.082 5.379 3.723 3.241 2.357 1.822 1.564 1.284 1.165 0.945 0.827 18.364 6.513 4.578 3.072 2.298 1.848 1.519 1.331 1.164 0.987 0.870 39.020 6.954 4.744 3.257 2.506 1.912 1.546 1.316 1.209 1.019 0.913 656 Energy & Fuels, Vol. 22, No. 1, 2008 Yoon et al. Table 8. Correlation Constants for the Kinematic Viscosity Equation over the Temperature Range 10–200 °C correlation constants fuel type R β γ R2 B100 B80 B60 B40 B20 D100 10.120 8.544 6.726 6.103 5.642 5.052 40.843 46.872 53.791 53.441 47.462 50.495 0.972 0.830 0.767 0.635 0.706 0.654 0.998 0.999 0.994 0.995 0.996 0.997 viscosity increased about 12% for every 20% increase in blending ratio due to the higher viscosity of biodiesel. On the other hand, in the case of 180 °C, the dynamic and kinematic viscosity increased about 6.1% and 7.4%, respectively. Figure 4. Temperature effect on dynamic viscosity of test fuels (0–200 °C). Figure 5. Kinematic viscosity of test fuels (D100, B20–100) and Tate et al.14 Figure 6. Kinematic and dynamic viscosities according to the blending ratio at 20 and 180 °C (measured values). Figure 6 shows the dynamic and kinematic viscosity according to the blending ratio at the constant fuel temperatures of 20 and 180 °C. At the temperature of 20 °C, dynamic and kinematic 4. Conclusions In order to investigate the effect of various temperature conditions on biodiesel and its blended fuel properties, the specific gravity, density, dynamic viscosity, and kinematic viscosity of pure biodiesel, neat diesel, and their blends (20–80%) were measured in the temperature range from 0–200 °C. On the basis of the measured results of fuel properties, the following conclusions were obtained. 1. The specific gravities measured increased proportionally with the blending ratio of biodiesel and gradually decreased according to the increasing fuel temperature. Moreover, as the blending ratio of biodeisel increased, the density values are also increased linearly. The average density difference according to the blending ratio of biodiesel is about 10.222 kg/m3 in each blending fuel. 2. An empirical equation to predict the density of biodiesel (B100) and its blends (B20–B80) as a function of temperature and blending ratio has been developed, and the predicted results are in very good agreement with experimental results in this work and other previous studies. 3. All viscosities of blends, diesel, and biodiesel decreased with increasing fuel temperature. An empirical equation to predict the kinematic viscosity of diesel, biodiesel, and blends as a function of fuel temperature has been developed. 4. At a fuel temperature of 200 °C, the differences in kinematic viscosity among the test fuels decreased rapidly. At a temperature between 0 and 10 °C, wax crystals are partially distributed especially in B100. The viscosity of biodiesel due to the existence of wax crystals increased flow resistance compared to a higher temperature range (20–200 °C). Acknowledgment. This study was supported by the CEFV (Center for Environmentally Friendly Vehicle) of the Eco-STAR project from the MOE (Ministry of Environment, Republic of Korea). Additional support for this work is from the Ministry of Education and Human Resources Development (MOE), the Ministry of Commerce, Industry and Energy (MOCIE), and the Ministry of Labor (MOLAB) through the fostering project of the Lab of Excellency. Also, this work was supported by the Second Brain Korea 21 Project in 2006. EF7002156
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