Analysis of mixed convection—Radiation interaction in a vertical channel: Entropy generation

Abstract

This work examines analytically the effects of radiation heat transfer on mixed convection through a vertical channel in the presence of transverse magnetic field. Both First and Second Laws of thermodynamics are applied to analyze the problem. Special focus is given on the entropy generation characteristics and its dependency on the various dimensionless parameters, i.e. Hartmann number (Ha), Plank number (Pl), Richardson number (Ri), group parameter (Br/Π) etc. A steady-laminar flow of an incompressible-viscous fluid is assumed through the channel with negligible inertia effect. Fluid is further considered as an optically thin gas and electrically conducting. Governing equations in Cartesian coordinate are solved analytically after reasonable simplifications. Expressions for velocity, temperature, local, and average entropy generation rate are derived and presented graphically.