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Modeling of Quasi-1D Multi-Component Fuel Droplet Vaporization using Discrete Approach with Experimental Validation
Technical Paper
2018-01-0287
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
An efficient multi-component fuel droplet vaporization model has been developed in this work using discrete approach. The precise modeling of droplet vaporization process is divided into two parts: vapor-phase and liquid-phase sub-models. Temporal evolution of flow inside the droplet is considered to describe the transient behavior introduced by the slow diffusion process. In order to account for the internal circulation motion, surface regression and finite diffusion without actually resolving the spatial governing equations within the liquid phase, a set of ordinary differential equations is applied to describe the evolution of the non-uniform distributions of universal diffusional variables, i.e. temperature and species mass fraction. The differences between the droplet surface and bulk mean states are modeled by constructing a quasi-1D frame; the effect of the internal circulations is taken into consideration by using the effective diffusivity rather than physical diffusivity. Peng-Robinson (PR) Equation of State (EOS) is utilized to deliberate the non-ideal behavior in a high-pressure environment and to compute the vapor-liquid equilibrium (VLE) at droplet surface. The quasi-steady assumption is made for the gaseous flow in determining vaporization rate and heat flux to the droplet. Model results are compared with the measured data from fuel droplet evaporation experiments using suspending silica filament technique in a constant volume chamber (CVC). The support filament has a 100-μm diameter to minimize the effect of thermal conduction. The experiments are carried out with different ambient temperatures. Droplet lifetime and vaporization rate are determined from the data recorded by a high-speed CCD camera. Droplet temperature is acquired by a thermocouple with 50 μm diameter. The comparison demonstrates the capability of the model in predicating the droplet size and temperature change under the low pressure condition at various ambient temperatures. Under the high pressure conditions, though the proposed model predicted a slow initial heat-up process which in turns lengthens the droplet lifetime, the prediction of vaporization rate necessarily agrees with the measured data.
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Citation
Gao, S., Yan, J., Wang, M., and Lee, C., "Modeling of Quasi-1D Multi-Component Fuel Droplet Vaporization using Discrete Approach with Experimental Validation," SAE Technical Paper 2018-01-0287, 2018, https://doi.org/10.4271/2018-01-0287.Also In
References
- Lefebvre , A.H. The Role of Fuel Preparation in Low-Emission Combustion Journal of Engineering for Gas Turbines and Power 117 4 617 654 1995
- Kadota , T. and Hiroyasu , H. Evaporation of a Single Droplet at Elevated Pressures and Temperatures: 2nd Report, Theoretical Study Bulletin of JSME 19 138 1515 1521 1976
- Faeth , G. Current Status of Droplet and Liquid Combustion Progress in Energy and Combustion Science 3 4 191 224 1977
- Sirignano , W. and Law , C. Transient Heating and Liquid-Phase Mass Diffusion in Fuel Droplet Vaporization Advances in Chemistry Series 166 3 1978
- Sirignano , W.A. Fuel Droplet Vaporization and Spray Combustion Theory Progress in Energy and Combustion Science 9 4 291 322 1983
- Ra , Y. and Reitz , R.D. A Vaporization Model for Discrete Multi-Component Fuel Sprays International Journal of Multiphase Flow 35 2 101 117 2009
- Zeng , Y. Modeling of Multicomponent Fuel Vaporization in Internal Combustion Engines Urbana-Champaign University of Illinois 2000
- Wang , M. Modeling of Droplet Evaporation, Flash-Boiling, and Mixture Preparation in Intenal Combustion Engines Urbana-Champaign University of Illinois 2017
- Tamim , J. and Hallett , W.L. A Continuous Thermodynamics Model for Multicomponent Droplet Vaporization Chemical Engineering Science 50 18 2933 2942 1995
- Lippert , A.M. and Reitz , R.D. Modeling of Multicomponent Fuels Using Continuous Distributions with Application to Droplet Evaporation and Sprays SAE Technical Paper 972882 1997 10.4271/972882
- Shen , C. , W. Cheng , and C. Lee Finite Diffusion Multi-Components Fuel Droplet Vaporization Modeling Using Continuous Thermodynamics for Fuels with Distinct Composition Distributions 2012
- Yi , P. , Long , W. , Jia , M. , Feng , L. et al. Development of an Improved Hybrid Multi-Component Vaporization Model for Realistic Multi-Component Fuels International Journal of Heat and Mass Transfer 77 173 184 2014
- Sazhin , S. , Elwardany , A.E. , Sazhina , E.M. , and Heikal , M.R. A Quasi-Discrete Model for Heating and Evaporation of Complex Multicomponent Hydrocarbon Fuel Droplets International Journal of Heat and Mass Transfer 54 19 4325 4332 2011
- Sazhin , S.S. , al Qubeissi , M. , Nasiri , R. , Gun’ko , V.M. et al. A Multi-Dimensional Quasi-Discrete Model for the Analysis of Diesel Fuel Droplet Heating and Evaporation Fuel 129 238 266 2014
- Law , C.K. Multicomponent Droplet Combustion with Rapid Internal Mixing Combustion and Flame 26 219 233 1976
- Law , C.K. , Prakash , S. , and Sirignano , W.A. Theory of Convective, Transient, Multicomponent Droplet Vaporization Symposium (International) on Combustion 16 1 605 617 1977
- Jin , J.D. and Borman , G.L. A Model for Multicomponent Droplet Vaporization at High Ambient Pressures SAE Technical Paper 850264 1985 10.4271/850264
- Abramzon , B. and Sirignano , W.A. Droplet Vaporization Model for Spray Combustion Calculations International Journal of Heat and Mass Transfer 32 9 1605 1618 1989
- Zeng , Y. and Lee , C.-F. A Preferential Vaporization Model for Multicomponent Droplets and Sprays Atomization and Sprays 12 1-3 163 186 2002
- Wang , C. , Liu , X. , and Law , C. Combustion and Microexplosion of Freely Falling Multicomponent Droplets Combustion and Flame 56 2 175 197 1984
- Chung , S.S. and Kawaguchi , O. An Experimental Study on the Evaporation of Freely Falling Droplet under High Temperature and High Pressure Gas Stream Journal of Mechanical Science and Technology 4 2 172 177 1990
- Randolph , A. , A. Makino , and C. Law Liquid-Phase Diffusional Resistance in Multicomponent Droplet Gasification Symposium (International) on Combustion 21 1988
- Kumagai , S. , T. Sakai , and S. Okajima Combustion of Free Fuel Droplets in a Freely Falling Chamber Symposium (International) on Combustion 13 1971
- Nomura , H. et al. Experimental Study on High-Pressure Droplet Evaporation Using Microgravity Conditions Symposium (International) on Combustion 26 1996
- Ghassemi , H. , Baek , S.W. , and Khan , Q.S. Experimental Study on Binary Droplet Evaporation at Elevated Pressures and Temperatures Combustion Science and Technology 178 6 1031 1053 2006
- Chauveau , C. , et al. An Experimental Study on the Droplet Vaporization: Effects of Heat Conduction Through the support fiber Proc. of 22 nd Annual Conference on Liquid Atomization and Spray Systems (ILASS Europe 2008) 2008
- Javed , I. , Baek , S.W. , and Waheed , K. Evaporation Characteristics of Heptane Droplets with the Addition of Aluminum Nanoparticles at Elevated Temperatures Combustion and Flame 160 1 170 183 2013
- Wong , S.-C. and Lin , A.-C. Internal Temperature Distributions of Droplets Vaporizing in High-Temperature Convective Flows Journal of Fluid Mechanics 237 671 687 1992
- Shih , A.T. and Megaridis , C.M. Suspended Droplet Evaporation Modeling in a Laminar Convective Environment Combustion and Flame 102 3 256 270 1995
- Miyasaka , K. and C.K. Law Combustion of Strongly-Interacting Linear Droplet Arrays Symposium (International) on Combustion 18 1981
- Yang , J.-R. and Wong , S.-C. An Experimental and Theoretical Study of the Effects of Heat Conduction through the Support Fiber on the Evaporation of a Droplet in a Weakly Convective Flow International Journal of Heat and Mass Transfer 45 23 4589 4598 2002
- Peng , D.-Y. and Robinson , D.B. A New two-Constant Equation of State Industrial & Engineering Chemistry Fundamentals 15 1 59 64 1976
- Chueh , P. and Prausnitz , J. Vapor-liquid Equilibria at High pressures: Calculation of Partial Molar Volumes in Nonpolar Liquid Mixtures AICHE Journal 13 6 1099 1107 1967
- Dubey , G.P. , Sharma , M. , and Dubey , N. Study of Densities, Viscosities, and Speeds of Sound of Binary Liquid Mixtures of Butan-1-Ol with N-Alkanes (C 6, C 8, and C 10) at T=(298.15, 303.15, and 308.15) K The Journal of Chemical Thermodynamics 40 2 309 320 2008
- Linstrom , P.J. and Mallard , W.G. The NIST Chemistry WebBook: A Chemical Data Resource on the Internet Journal of Chemical & Engineering Data 46 5 1059 1063 2001
- Thermal Fluid Central Thermophysical Properties https://www.thermalfluidscentral.org/encyclopedia/index.php/Thermophysical_Properties:_Ethanol 2010
- Yaws , C. et al. Physical and Thermodynamic Properties. 24. Correlation Constants for Chemical Compounds Chemical Engineering 83 25 153 162 1976
- Poling , B.E. , Prausnitz , J.M. , and O'connell , J.P. The properties of gases and liquids, Vol. 5 New York Mcgraw-Hill 2001
- Cummings , L.W.T. , Stones , F. , and Volante , M. High-Pressure Rectification Industrial & Engineering Chemistry 25 7 728 732 1933
- Knapp , H. DECHEMA Chemistry Data Series 1982
- Malewski , M.K. and Sandler , S.I. High-Pressure Vapor-Liquid Equilibria of the Binary Mixtures Nitrogen+ N-Butane and Argon+ N-Butane Journal of Chemical and Engineering Data 34 4 424 426 1989
- Yucelen , B. and Kidnay , A.J. Vapor− Liquid Equilibria in the Nitrogen+ Carbon Dioxide+ Propane System from 240 to 330 K at Pressures to 15 MPa Journal of Chemical & Engineering Data 44 5 926 931 1999
- Garcia-Sanchez , F. , Eliosa-Jiménez , G. , Silva-Oliver , G. , and Vázquez-Román , R. Vapor-Liquid Equilibria of Nitrogen-Hydrocarbon Systems Using the PC-SAFT Equation of State Fluid Phase Equilibria 217 2 241 253 2004
- Sage , R. , Hicks , B. , and Lacey , W. Phase Equilibria in Hydrocarbon Systems Industrial & Engineering Chemistry 32 8 1085 1092 1940
- Chung , T.H. , Lee , L.L. , and Starling , K.E. Applications of Kinetic Gas Theories and Multiparameter Correlation for Prediction of Dilute Gas Viscosity and Thermal Conductivity Industrial & engineering chemistry fundamentals 23 1 8 13 1984
- Chung , T.H. , Ajlan , M. , Lee , L.L. , and Starling , K.E. Generalized Multiparameter Correlation for Nonpolar and Polar Fluid Transport Properties Industrial & Engineering Chemistry Research 27 4 671 679 1988
- Riazi , M.R. and Whitson , C.H. Estimating Diffusion Coefficients of Dense Fluids Industrial & Engineering Chemistry Research 32 12 3081 3088 1993
- Laboratory , N.N.P. http://www.kayelaby.npl.co.uk/atomic_and_nuclear_physics/4_5/4_5_4.html 2015
- Moore , J.W. and Wellek , R.M. Diffusion Coefficients of N-Heptane and N-Decane in N-Alkanes and N-Alcohols at Several Temperatures Journal of Chemical and Engineering Data 19 2 136 140 1974
- Thek , R.E. and Stiel , L.I. A New Reduced Vapor Pressure Equation AICHE Journal 12 3 599 602 1966
- Riedel , L. Kritischer Koeffizient, Dichte des gesättigten dampfes und verdampfungswärme. untersuchungen über eine erweiterung des theorems der übereinstimmenden zustände. Teil III Chemie Ingenieur Technik 26 12 679 683 1954
- Curtis , E. , Uludogan , A. , and Reitz , R.D. A New High Pressure Droplet Vaporization Model for Diesel Engine Modeling SAE Technical Paper 952431 1995 10.4271/952431
- Daıf , A. et al. Comparison of Multicomponent Fuel Droplet Vaporization Experiments in Forced Convection with the Sirignano Model Experimental Thermal and Fluid Science 18 4 282 290 1998