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Fuel Droplet Heating and Evaporation: Analysis of Liquid and Gas Phase Models
Technical Paper
2007-01-0019
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
Recently developed liquid and gas phase models for fuel droplet heating and evaporation, suitable for implementation into computational fluid dynamics (CFD) codes, are reviewed. The analysis is focused on the liquid phase model based on the assumption that the liquid thermal conductivity is infinitely large (infinite thermal conductivity (ITC) model), and the so called effective thermal conductivity (ETC) model. Seven gas phase models are compared. It is pointed out that the gas phase model, taking into account the finite thickness of the thermal boundary layer around the droplet predicts the evaporation time closest to the one based on the approximation of experimental data. In most cases, the droplet evaporation time depends strongly on the choice of the gas phase model. The dependence of this time on the choice of the liquid phase model, however, is weak if the droplet break-up processes are not taken into account. Corrections to Newton's law for droplet transient heating are discussed. For the values of parameters relevant to diesel engines, the values of these corrections were shown to be significant. Recent kinetic models for droplet evaporation into a high pressure background gas are reviewed. It is recommended that the kinetic effects are taken into account when accurate analysis of diesel fuel droplet evaporation is essential. A new dynamic decomposition technique for a system of ordinary differential equations is reviewed.
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Sazhin, S., Kristyadi, T., Heikal, M., Abdelghaffar, W. et al., "Fuel Droplet Heating and Evaporation: Analysis of Liquid and Gas Phase Models," SAE Technical Paper 2007-01-0019, 2007, https://doi.org/10.4271/2007-01-0019.Also In
References
- Schrage RW A Theoretical Study of Interphase Mass Transfer Columbia University Press New York 1953
- Fuchs NA Evaporation and Droplet Growth in Gaseous Media Pergamon Press London 1959
- Levich VG Physicochemical Hydrodynamics Prentice Hall Englewood Cliffs NJ 1962
- Spalding DB Convective Mass Transfer; an Introduction Edward Arnold Ltd London 1963
- Kuo K-K Principles of Combustion John Wiley & Sons New York, Chichester 1996
- Lefebvre AH Atomization and Sprays Taylor & Francis Bristol PA 1989
- Griffiths JF Barnard JA Flame and Combustion Blackie Academic & Professional 1995
- Borman GL Ragland KW Combustion Engineering McGraw-Hill New York 1998
- Sirignano WA Fluid Dynamics and Transport of Droplets and Sprays Cambridge University Press Cambridge 1999
- Michaelides EE “Hydrodynamic force and heat/mass transfer from particles, bubbles, and drops - the Freeman scholar lecture” ASME J. Fluid Engineering 125 209 238 2003
- Sazhin SS “Advanced models of fuel droplet heating and evaporation” Progress in Energy and Combustion Science 32 162 214 2006
- Flynn PF Durrett RP Hunter GL zur Loye AO Akinyemi OC Dec JE Westbrook CK “Diesel combustion: an integrated view combining laser diagnostics, chemical kinetics, and empirical validation” SAE Paper 1999-01-0509 1999
- Sazhina EM Sazhin SS Heikal MR Babushok VI Johns R “A detailed modelling of the spray ignition process in Diesel engines” Comb. Sci. Tech. 160 317 344 2000
- Utyuzhnikov SV “Numerical modeling of combustion of fuel-droplet-vapour releases in the atmosphere” Flow, Turbulence and Combustion 68 137 152 2002
- Dombrovsky LA Sazhin SS Sazhina EM Feng G Heikal MR Bardsley MEA Mikhalovsky SV “Heating and evaporation of semi-transparent diesel fuel droplets in the presence of thermal radiation” Fuel 80 1535 1544 2001
- Dombrovsky LA Sazhin SS “A parabolic temperature profile model for heating of droplets” ASME J. Heat Transfer 125 535 537 2003
- Dombrovsky LA Sazhin SS “A simplified non-isothermal model for droplet heating and evaporation” Int. Communications in Heat and Mass Transfer 30 6 787 796 2003
- Dombrovsky LA Sazhin SS “Absorption of thermal radiation in a semi-transparent spherical droplet: a simplified model” Int. J. of Heat and Fluid Flow 24 6 919 927 2003
- Sazhin SS Abdelghaffar WA Sazhina EM Mikhalovsky SV Meikle ST Bai C “Radiative heating of semi-transparent diesel fuel droplets” ASME J. Heat Transfer 126 105 109 2004 126 490 491 2004
- Dombrovsky LA Sazhin SS “Absorption of external thermal radiation in asymmetrically illuminated droplets” J. Quantitative Spectroscopy and Radiation Transfer 87 119 135 2004
- Dombrovsky LA “Absorption of thermal radiation in large semi-transparent particles at arbitrary illumination of a polydisperse system” Int. J. of Heat Mass Transfer 47 5511 5522 2004
- Sazhin SS Krutitskii PA Abdelghaffar WA Mikhalovsky SV Meikle ST Heikal MR “Transient heating of diesel fuel droplets” Int. J. of Heat Mass Transfer 47 3327 3340 2004
- Abramzon B Sazhin SS “Droplet vaporization model in the presence of thermal radiation” Int J. Heat Mass Transfer 48 1868 1873 2004
- Abramzon B Sazhin SS “Convective vaporization of fuel droplets with thermal radiation absorption Fuel 85 32 46 2006
- Sazhin SS Abdelghaffar WA Krutitskii PA Sazhina EM Heikal MR “New approaches to numerical modelling of droplet transient heating and evaporation” Int. J. Heat Mass Transfer 48 4215 4228 2005
- Sazhin SS Abdelghaffar WA Sazhina EM Heikal MR “Models for droplet transient heating: effects on droplet evaporation, ignition, and break-up” Int. J. Thermal Science 44 610 622 2005
- Abramzon B Sirignano WA “Droplet vaporization model for spray combustion calculations” Int. J. of Heat and Mass Transfer 32 1605 1618 1989
- Bertoli C na Migliaccio M “A finite conductivity model for diesel spray evaporation computations” Int. J. of Heat and Fluid Flow 20 552 561 1999
- Sazhin SS Kristyadi T Abdelghaffar WA Heikal MR “Models for fuel droplet heating and evaporation: comparative analysis” Fuel 85 12-13 1613 1630 2006
- Cooper F. “Heat transfer from a sphere to an infinite medium” Int J. Heat and Mass Transfer 20 991 993 1970
- Öziçik MN Heat Conduction John Wiley and Sons New York 1980
- Baek SW Park JH Kang SJ “Transient cooling of a two-phase medium of spherical shape when exposed to rarefied cold environment” Int J Heat and Mass Transfer 44 2345 2356 2001
- Sadooghi P Aghanajafi C. “Coating effects on transient cooling a hot spherical body” J. Fusion Energy 22 59 65 2004
- Sazhin SS Krutitskii PA Martynov SB Mason D Heikal MR Sazhina EM “Transient heating of a semitransparent spherical body” Int J. Thermal Science 2006
- Kryukov AP Levashov VYu. Sazhin SS “Evaporation of diesel fuel droplets: kinetic versus hydrodynamic models” Int. J. of Heat Mass Transfer 47 12-13 2541 2549 2004
- Shishkova IN Sazhin SS “A numerical algorithm for kinetic modelling of evaporation processes” J. Computational Physics 218 2 635 653 2006
- Bykov V Goldfarb I Gol'dshtein V Sazhin SS Sazhina EM “System decomposition technique for spray modelling in CFD codes” Computers and Fluids 36 601 610 2006
- Goldfarb I Gol'dshtein V Kuzmenko G Sazhin SS “Thermal radiation effect on thermal explosion in gas containing fuel droplets” Combustion Theory and Modelling 3 769 787 1999
- Sazhin SS Feng G Heikal MR Goldfarb I Goldshtein V Kuzmenko G “Thermal ignition analysis of a monodisperse spray with radiation” Combustion and Flame 124 684 701 2001
- Bykov V Goldfarb I Gol'dshtein V Greenberg JB “Thermal explosion in a hot gas mixture with fuel droplets: a two reactants model” Combustion Theory and Modelling 6 1 21 2002
- Chiang CH Raju MS Sirignano WA “Numerical analysis of convecting, vaporizing fuel droplet with variable properties” Int. J. Heat and Mass Transfer 35 1307 1324 1992
- Polyanin AD Kutepov AM Vyazmin AV Kazenin DA Hydrodynamics, Mass and Heat Transfer in Chemical Engineering London and New York Taylor & Francis 2002 149 214
- Haywood RJ Nafziger R Renksizbulut M “A detailed examination of gas and liquid transient processes in convection and evaporation” ASME J. Heat Transfer 111 495 502 1989
- Todes OM “Quasi-stationary regimes of mass and heat transfer between a spherical body and ambient medium” Fedoseev VA Problems of evaporation, combustion and gas dynamics in disperse systems. Proceedings of the Sixth Conference on Evaporation, Combustion and Gas Dynamics in Disperse Systems (October 1966) Odessa: Odessa University Publishing House 1968 151 159
- Sazhin SS Gol'dshtein V Heikal MR “A transient formulation of Newton's cooling law for spherical bodies” ASME J. Heat Transfer 123 63 64 2001
- Aristov VV Tcheremissine VG Direct Numerical Solution of the Boltzmann Equation Computer Centre of Russia Academy of Sciences Moscow 1992
- Kryukov AP Levashov VYu Shishkova IN “Condensation in the presence of a non-condensable component” J. Engineering Physics and Thermophysics 78 15 21 2005
- Marek R Straub J. “Analysis of the evaporation coefficient and the condensation coefficient of water” Int J. Heat Mass Transfer 44 39 53 2004
- Sazhina EM Sazhin SS Heikal MR Babushok VI Johns RA “A detailed modelling of the spray ignition process in Diesel engines” Combustion Science and Technology 160 317 44 2000
- Sazhin SS Wild P Leys C Toebaert D Sazhina EM “The three temperature model for the fast-axial-flow CO2 laser” J Physics D: Applied Physics 26 1872 1883 1993
- Sazhin SS Sazhina EM Heikal MR Marooney C Mikhalovsky SV “The Shell autoignition model: a new mathematical formulation” Combustion and Flame 117 529 540 1999
- Maas U Pope SB “Simplifying chemical kinetics: intrinsic low-dimensional manifolds in composition space” Combustion and Flame 117 99 116 1992
- Rhodes C Morari M Wiggins S “Identification of the low order manifolds: validating the algorithm of Maas and Pope” Chaos 9 108 123 1999
- Lam SH Goussis DM “The GSP method for simplifying kinetics” International J. of Chemical Kinetics 26 461 486 1994
- Hadjinicolaou M Goussis DM “Asymptotic solutions of stiff PDEs with the CSP method: the reaction diffusion equation” SIAM J. Scientific Computing 20 781 910 1999
- Masias A Diamantis D Mastorakos E Goussis DE “An algorithm for the construction of global reduced mechanisms with CSP data” Combustion and Flame 117 685 708 1999
- Valorani M Goussis DM “Explicit time-scale splitting algorithm for stiff problems: auto-ignition of gaseous mixtures behind a steady shock” J. Computational Physics 169 44 79 2001
- Neophytou MK Goussis DA van Loon M Mastorakos E “Reduced chemical mechanism for atmospheric pollution using Computational Singular Perturbation analysis” Atmospheric Environment 38 3661 3673 2004
- Gol'dshtein V Sobolev V Qualitative Analysis of Singularly Perturbed Systems Institute of Mathematics Siberian Branch of USSR Academy of Science Novosibirsk 1988
- Gol'dshtein V Sobolev V “Integral manifolds in chemical kinetics and combustion” Singularity Theory and Some Problems of Functional Analysis American Mathematical Society 73 92 1992