WKBJ approximation for thermally radiating and chemically reactive fluid

Authors: PROMISE MEBINE

Abstract: This paper investigates steady state solutions to thermally radiating and chemically reactive fluid in a channel. The reaction is assumed to be strongly exothermic under generalized Arrhenius kinetics, neglecting the consumption of the material. Approximate analytical solutions are constructed for the governing nonlinear boundary value problem using WKBJ approximation. Results pertaining to 4 categories of mass species propagation parameter are derived. Two special reactions are used in the validation of the results by numerical solutions, which demonstrated a high level of agreement. Also important features of the problem are discussed.

Keywords: Reactive fluid, thermal radiation; WKBJ approximation

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