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Mathematical modelling of the coupled reacting boundary layer equations
Author(s) -
Villasenor R.,
Chen J. Y.
Publication year - 1995
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650210204
Subject(s) - laminar flow , discretization , boundary layer , partial differential equation , jet (fluid) , mechanics , conservation of mass , ordinary differential equation , thermodynamics , physics , chemistry , mathematics , differential equation , mathematical analysis
A new numerical scheme for reacting axisymmetric jet flows formed between a fuel jet and co‐flowing air has been developed. The model is mathematically described by a set of non‐linear parabolic partial differential equations in two space dimensions, i.e. the boundary layer equations. The numerical scheme that the programme uses for solving the fully coupled conservation equations of mass, momentum, energy and species is a generaliztion of the discretization technique recently developed by Villasenor ( J. Math. Comput. Simul. , 36, 203–208 (1994)). Chemical production (and destruction) of the species is allowed to occur through N elementary reversible (or irreversible) reactions involving k species, although in the present model the reaction rates are evaluated with a simplified kinetic mechanism for a one‐step global reaction. Thermal radiation is considered assuming an optically thin limit and adopting the grey medium approximation. Allowances are made for natural convection effects and variable thermodynamic and molecular transport properties. The performance of the model in solving the coupled aerodynamic and finite rate chemistry effects is tested by comparing model predictions with experimental data of Mitchell et al. (Combust. Flame , 37, 227–244 (1980)) for a buoyant, laminar, diffusion axisymmetric methane‐air flame.