On the solution of a class of polydisperse spray problems
- 1 February 1996
- journal article
- research article
- Published by Cambridge University Press (CUP) in European Journal of Applied Mathematics
- Vol. 7 (1), 75-96
- https://doi.org/10.1017/s0956792500002217
Abstract
A general method is presented to facilitate the solution of a class of polydisperse spray problems in which a cloud of droplets can be described using a sectional or group model. The procedure involves replacing the originalcoupleddroplet sectional variables conservation equations by a set ofuncoupledsectional equations for auxiliary variables. The form of these latter equations is identical to that of thesinglespray equation for a quasi-monodisperse spray, solutions of which are more readily attainable even for multidimensional spray problems. Thus, these ready-made solutions can be exploited directly for the auxiliary variables, from which solutions can then be constructed in a straightforward manner for the desired original sectional variables. Three illustrative examples for spray diffusion flames with different features of complexity highlight the potential applicability of the proposed method, and indicate the sensitivity of flame characteristics to initial spray conditions and in-spray related phenomena.Keywords
This publication has 23 references indexed in Scilit:
- A theoretical study of polydisperse liquid sprays in a shear-layer flowPhysics of Fluids A: Fluid Dynamics, 1993
- The Burke-Schumann diffusion flame revisite—With fuel spray injectionCombustion and Flame, 1989
- The details of the convective evaporation of dense and dilute clusters of dropsInternational Journal of Heat and Mass Transfer, 1987
- An Opposed Jet Quasi-Monodisperse Spray Diffusion FlameCombustion Science and Technology, 1986
- A Lagrangian sectional approach for simulating droplet size distribution of vaporizing fuel sprays in a turbulent jetCombustion and Flame, 1985
- Vaporization of polydisperse fuel sprays in a laminar boundary layer flow: A sectional approachCombustion and Flame, 1984
- Droplet sizes and velocities in vaporizing spraysCombustion and Flame, 1983
- Hydrodynamics and heat transfer in sphere assemblages—cylindrical cell modelsInternational Journal of Heat and Mass Transfer, 1983
- "Group" Combustion of Droplets in Fuel Clouds. I. Quasi-steady PredictionsPublished by American Chemical Society (ACS) ,1978
- Combustion of droplets of liquid fuels: A reviewCombustion and Flame, 1973