Research Papers: Gas Turbines: Combustion, Fuels, and Emissions

Second-Law Heat Release Modeling of a Compression Ignition Engine Fueled With Blends of Palm Biodiesel

[+] Author and Article Information
Jonathan Mattson

Department of Mechanical Engineering,
University of Kansas,
1530 West 15th Street,
Lawrence, KS 66044
e-mail: jmattson@ku.edu

Evan Reznicek

Department of Mechanical Engineering,
Colorado School of Mines,
1610 Illinois Street,
Golden, CO 80401
e-mail: ereznice@mines.edu

Christopher Depcik

Department of Mechanical Engineering,
University of Kansas,
1530 West 15th Street,
Lawrence, KS 66044
e-mail: depcik@ku.edu

Contributed by the Combustion and Fuels Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received January 7, 2016; final manuscript received January 14, 2016; published online March 30, 2016. Editor: David Wisler.

J. Eng. Gas Turbines Power 138(9), 091502 (Mar 30, 2016) (10 pages) Paper No: GTP-16-1008; doi: 10.1115/1.4032741 History: Received January 07, 2016; Revised January 14, 2016

Modeling of engine-out heat release (HR) is of great importance for engine combustion research. Variations in fuel properties bring about changing combustion behavior within the cylinder, which may be captured by modeling of the rate of heat release (RHR). This is particularly true for biodiesel fuels, where changes in fuel behavior are linked to viscosity, density, and energy content. HR may also be expanded into an analysis using the second law of thermodynamics, which may ascertain the pathways through which availability is either captured as useful work, unused as thermal availability of the exhaust gas, or wasted as heat transfer. In specific, the second-law model identifies the period of peak availability, and thus the ideal period to extract work, and is of use for power optimization. A multizone (fuel, burned, and unburned) diagnostic model using a first law of thermodynamics analysis is utilized as a foundation for a second-law analysis, allowing for a simultaneous energy and exergy analysis of engine combustion from a captured pressure trace. The model calibrates the rate and magnitude of combustion through an Arrhenius equation in place of a traditional Wiebe function, calibrated using exhaust emission measurements. The created model is then utilized to categorize combustion of diesel and palm biodiesel fuels as well as their blends. The second-law analysis is used to highlight the effects of increasing biodiesel usage on engine efficiency, particularly with respect to fuel viscosity and combustion temperature. The second-law model used is found to provide a more clear understanding of combustion than the original first-law model, particularly with respect to the relationships between biodiesel content, viscosity, temperature, and diffusion-dominated combustion.

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Heywood, J. B. , 1988, Internal Combustion Engine Fundamentals, McGraw-Hill, New York, p. 930.
Gatowski, J. A. , Balles, E. N. , Chun, K. M. , Nelson, F. E. , Ekchian, J. A. , and Heywood, J. B. , 1984, “ Heat Release Analysis of Engine Pressure Data,” SAE International Paper No. 841359.
Jensen, T. K. , and Schramm, J. , 2000, “ A Three-Zone Heat Release Model for Combustion Analysis in a Natural Gas SI Engine—Effects of Crevices and Cyclic Variations on UHC Emissions,” SAE International Paper No. 2000-01-2802.
Foster, D. E. , 1985, “ An Overview of Zero-Dimensional Thermodynamic Models for IC Engine Data Analysis,” SAE International Paper No. 852070.
Brunt, M. F. J. , Rai, H. , and Emtage, A. L. , 1998, “ The Calculation of Heat Release Energy From Engine Cylinder Pressure Data,” SAE International Paper No. 981052.
Lapuerta, M. , Armas, O. , and Hernández, J. J. , 1999, “ Diagnosis of DI Diesel Combustion From In-Cylinder Pressure Signal by Estimation of Mean Thermodynamic Properties of the Gas,” Appl. Therm. Eng., 19(5), pp. 513–529. [CrossRef]
Van Gerpen, J. H. , and Shapiro, H. N. , 1990, “ Second-Law Analysis of Diesel Engine Combustion,” ASME J. Eng. Gas Turbines Power, 112(1), pp. 129–137. [CrossRef]
Rakopoulos, C. D. , and Giakoumis, E. G. , 2006, “ Second-Law Analyses Applied to Internal Combustion Engines Operation,” Prog. Energy Combust. Sci., 32(1), pp. 2–47. [CrossRef]
Jafarmadar, S. , 2013, “ Three-Dimensional Modeling and Exergy Analysis in Combustion Chambers of an Indirect Injection Diesel Engine,” Fuel, 107, pp. 439–447. [CrossRef]
Jafarmadar, S. , 2014, “ Exergy Analysis of Hydrogen/Diesel Combustion in a Dual Fuel Engine Using Three-Dimensional Model,” Int. J. Hydrogen Energy, 39(17), pp. 9505–9514. [CrossRef]
Taghavifar, H. , Khalilarya, S. , Mirhasani, S. , and Jafarmadar, S. , 2014, “ Numerical Energetic and Exergetic Analysis of CI Diesel Engine Performance for Different Fuels of Hydrogen, Dimethyl Ether, and Diesel Under Various Engine Speeds,” Int. J. Hydrogen Energy, 39(17), pp. 9515–9526. [CrossRef]
Ramos da Costa, Y. J. , Barbosa de Lima, A. G. , Bezerra Filho, C. R. , and Lima, L. A. , 2012, “ Energetic and Exergetic Analyses of a Dual-Fuel Diesel Engine,” Renewable Sustainable Energy Rev., 16(7), pp. 4651–4660. [CrossRef]
Bueno, A. V. , Velásquez, J. A. , and Milanez, L. F. , 2011, “ Heat Release and Engine Performance Effects of Soybean Oil Ethyl Ester Blending Into Diesel Fuel,” Energy, 36(6), pp. 3907–3916. [CrossRef]
Mattson, J. M. S. , and Depcik, C. , 2014, “ Emissions–Calibrated Equilibrium Heat Release Model for Direct Injection Compression Ignition Engines,” Fuel, 117(B), pp. 1096–1110. [CrossRef]
Moran, M. J. , Shapiro, H. N. , Boettner, D. D. , and Bailey, M. B. , 2010, Fundamentals of Engineering Thermodynamics, Wiley, New York.
Rakopoulos, C. D. , and Kyritsis, D. C. , 2001, “ Comparative Second-Law Analysis of Internal Combustion Engine Operation for Methane, Methanol, and Dodecane Fuels,” Energy, 26(7), pp. 705–722. [CrossRef]
Alkidas, A. , 1989, “ The Use of Availability and Energy Balances in Diesel Engines,” SAE Technical Paper No. 890822.
Brzustowski, T. , and Brena, A. , 1986, “ Second-Law Analysis of Energy Processes—IV: The Exergy of Hydrocarbon Fuels,” Can. Soc. Mech. Eng. Trans., 10(3), pp. 121–128.
Abusoglu, A. , and Kanoglu, M. , 2008, “ First and Second Law Analysis of Diesel Engine Powered Cogeneration Systems,” Energy Convers. Manage., 49(8), pp. 2026–2031. [CrossRef]
Stepanov, V. S. , 1995, “ Chemical Energies and Exergies of Fuels,” Energy, 20(3), pp. 235–242. [CrossRef]
Moran, M. J. , 1982, Availability Analysis: A Guide to Efficient Energy Use, Prentice-Hall, Englewood Cliffs, NJ.
Tat, M. E. , 2011, “ Cetane Number Effect on the Energetic and Exergetic Efficiency of a Diesel Engine Fuelled With Biodiesel,” Fuel Process. Technol., 92(7), pp. 1311–1321. [CrossRef]
Kotas, T. J. , 2012, The Exergy Method of Thermal Plant Analysis, Elsevier, London.
Kee, R. J. , Rupley, F. M. , Meeks, E. , and Miller, J. A. , 1996, “ CHEMKIN-III: A Fortran Chemical Kinetics Package for the Analysis of Gas-Phase Chemical and Plasma Kinetics,” Sandia Report No. SAND96-8216.
Woschni, G. , 1967, “ A Universally Applicable Equation for the Instantaneous Heat Transfer Coefficient in the Internal Combustion Engine,” SAE International Paper No. 670931.
Hohenberg, G. F. , 1979, “ Advanced Approaches for Heat Transfer Calculations,” SAE International Paper No. 790825.
Bahadori, A. , and Vuthaluru, H. B. , 2009, “ Predicting Emissivities of Combustion Gases,” Chem. Eng. Prog., 105(6), pp. 38–41.
Hiroyasu, H. , and Nishida, K. , 1989, “ Simplified Three-Dimensional Modeling of Mixture Formation and Combustion in a DI Diesel Engine,” SAE Technical Paper No. 890269.
Langness, C. , Mangus, M. , and Depcik, C. , 2014, “ Construction, Instrumentation, and Implementation of a Low Cost, Single-Cylinder Compression Ignition Engine Test Cell,” SAE International Paper No. 2014-01-0817.
Mangus, M. , Kiani, F. , Mattson, J. , Depcik, C. , Peltier, E. , and Stagg-Williams, S. , 2014, “ Comparison of Neat Biodiesels and ULSD in an Optimized Single-Cylinder Diesel Engine With Electronically-Controlled Fuel Injection,” Energy Fuels, 28(6), pp. 3849–3862. [CrossRef]
Mattson, J. M. S. , Mangus, M. , and Depcik, C. , 2014, “ Efficiency and Emissions Mapping for a Single-Cylinder, Direct Injected Compression Ignition Engine,” SAE International Paper No. 2014-01-1242.
Rajasekar, E. , and Selvi, S. , 2014, “ Review of Combustion Characteristics of CI Engines Fueled With Biodiesel,” Renewable Sustainable Energy Rev., 35, pp. 390–399. [CrossRef]
Szybist, J. P. , Song, J. , Alam, M. , and Boehman, A. L. , 2007, “ Biodiesel Combustion, Emissions and Emission Control,” Fuel Process. Technol., 88(7), pp. 679–691. [CrossRef]
de Oliveira Costa, L. , and Santos, R. S. , 2011, “ Impacts on the Emissions Monitoring System (OBD) Due to the Use of Biodiesel and Higher NOx Emissions,” SAE International Paper No. 2011-36-0101.
Cecrle, E. , Depcik, C. , Duncan, A. , Guo, J. , Mangus, M. , Peltier, E. , Stagg-Williams, S. , and Zhong, Y. , 2012, “ An Investigation of the Effects of Biodiesel Feedstock on the Performance and Emissions of a Single-Cylinder Diesel Engine,” Energy Fuels, 26(4), pp. 2331–2341. [CrossRef]


Grahic Jump Location
Fig. 1

Measured in-cylinder pressure for ULSD

Grahic Jump Location
Fig. 2

Calculated RHR for ULSD

Grahic Jump Location
Fig. 3

Calculated rate of change in availability at 18.0 N · m

Grahic Jump Location
Fig. 4

Calculated cumulative change in availability at 18.0 N · m

Grahic Jump Location
Fig. 5

Percentage of calculated total availability via components in Eq. (2) at EVO

Grahic Jump Location
Fig. 6

Calculated in-cylinder temperature profile for ULSD

Grahic Jump Location
Fig. 7

Calculated rates of HR for ULSD, palm biodiesel, and blends at 9.0 N · m

Grahic Jump Location
Fig. 8

Calculated rates of HR for ULSD, palm biodiesel, and blends at 18.0 N · m

Grahic Jump Location
Fig. 9

Measured availability addition for ULSD, palm biodiesel, and blends

Grahic Jump Location
Fig. 10

Percentage of calculated total availability transferred as work

Grahic Jump Location
Fig. 11

Percentage of calculated total availability lost through heat transfer

Grahic Jump Location
Fig. 12

Calculated in-cylinder temperature profile for ULSD, palm biodiesel, and blends at 9.0 N · m

Grahic Jump Location
Fig. 13

Percentage of calculated total availability lost through irreversibility

Grahic Jump Location
Fig. 14

Percentage of calculated total availability retained by exhaust gases



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