Abstract
The characteristics of a flame are influenced by external magnetic field and the swirl number. The present paper considers a simplified model taking into account the interplay of swirl flow and the MHD effects due to the Lorentz force acting on the weakly ionised gas. We present the results of a numerical study of the viscous, incompressible, laminar, axisymmetric swirling flow in a cylindrical pipe with axial uniform magnetic field. The combustion process is modelled by a single step exothermic chemical reaction of fuel and oxidant. The rate of the reaction is given by one-step first-order Arrhenius kinetics. Fields of stream function, vorticity, temperature, circulation and fuel concentration in the cylindrical pipe are obtained for various values of the uniform axial magnetic field and specific heat of the reaction. The approximations of the nonlinear problems are based on the implicit finite-difference and alternating direction (ADI) methods.
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