年間 12 号発行
ISSN 印刷: 1044-5110
ISSN オンライン: 1936-2684
Indexed in
SOLUTIONS OF POLYDISPERSE SPRAY SECTIONAL EQUATIONS VIA A MULTIPLE-SCALE APPROACH: AN ANALYSIS OF A PREMIXED POLYDISPERSE SPRAY FLAME
要約
New solutions are presented for polydisperse spray sectional equations. Simultaneous evaporation and coalescence processes of the spray droplets are considered. The mathematical procedure takes advantage of a multiple-scale approach in which different scales are applied to the different physical processes (convection and evaporation). Two small spray parameters are identified and used for expansion purposes. A special zonal density model is developed, thus enabling approximate analytic solutions to be extracted from the governing equations for the entire system. The method is employed to analyze adiabatic premixed polydisperse spray flames in a one-dimensional flow field. Computed results are presented for flame location versus flame velocity, the influence of droplet evaporation rate (with and without coalescence) on flame location, and the axial variation in temperature and chemical species profiles. As to the fuel spray, the evolution in droplet size distributions, for the various size sections, along the axial direction is analyzed. Finally, all analytical results are compared with numerical solutions for the governing equations, which are obtained here using a finite-differences method. The good agreement between the analytical solutions and the numerical ones indicates that a multiple-scale approach may be an important satisfactory tool for the analysis of polydisperse sprays that undergo simultaneous evaporation and coalescence processes.
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Tambour Y., Katoshevski D., Similarity analysis of spray diffusion flames in a unidirectional shear-layer flow, Symposium (International) on Combustion, 25, 1, 1994. Crossref
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Bowen P.J., Cameron L.R.J., Hydrocarbon Aerosol Explosion Hazards, Process Safety and Environmental Protection, 77, 1, 1999. Crossref
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Greenberg J.B., Silverman I., Tambour Y., On Droplet Enhancement of the Burning Velocity of Laminar Premixed Spray Flames, Combustion and Flame, 113, 1-2, 1998. Crossref
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Tambour Y., Zehavi S., Derivation of near-field sectional equations for the dynamics of polydisperse spray flows: An analysis of the relaxation zone behind a normal shock wave, Combustion and Flame, 95, 4, 1993. Crossref
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Anidjar F., Tambour Y., Greenberg J.B., Mass exchange between droplets during head-on collisions of multisize sprays, International Journal of Heat and Mass Transfer, 38, 18, 1995. Crossref
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Greenberg J.B., Silverman I., Tambour Y., A new heterogeneous burning velocity formula for the propagation of a laminar flame front through a polydisperse spray of droplets, Combustion and Flame, 104, 3, 1996. Crossref
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Greenberg J.B., Silverman I., Tambour Y., On the origins of spray sectional conservation equations, Combustion and Flame, 93, 1-2, 1993. Crossref
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Silverman I., Greenberg J.B., Tambour Y., Stoichiometry and polydisperse effects in premixed spray flames, Combustion and Flame, 93, 1-2, 1993. Crossref
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Tambour Y., Khosid S., On the stability of the process of formation of combustion-generated particles by coagulation and simultaneous shrinkage due to particle oxidation, International Journal of Engineering Science, 33, 5, 1995. Crossref
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Far-Field Coalescence Effects in Polydisperse Spray Diffusion Flames, in Recent Advances in Spray Combustion: Spray Atomization and Drop Burning Phenomena, 1996. Crossref
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Tambour Y., Greenberg J.B., A Theoretical Study of Polydisperse Spray Diffusion Flames in the Far Field of a Fuel-Injector, International Journal of Turbo and Jet Engines, 10, 4, 1993. Crossref
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Tambour Y., Greenberg J.B., Albagli D., Coalescence Effects in Vaporizing Polydisperse Fuel-Sprays Suspended in a 3-D Axisymmetric Stagnation Flow, International Journal of Turbo and Jet Engines, 10, 4, 1993. Crossref
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Katoshevski D., Tambour Y., Effect of Drop-Size Dependent Spray-Injection-Velocity on Multisize-Spray Diffusion Flames in a Unidirectional Shear-Layer Flow, International Journal of Turbo and Jet Engines, 11, 4, 1994. Crossref