Abstract

In the present study, the boundary layer free convective unsteady flow of an incompressible micropolar fluid under a uniform magnetic field is considered with thermal radiation in symmetric and asymmetric boundary conditions. The governing unsteady boundary layer momentum, angular momentum, energy and concentration equations with initial and boundary conditions are nondimensionalised and solved numerically. For validation of numerical solutions, analytical expression for velocity, micro-rotation, temperature and concentration profiles of steady state case have been obtained and compared through the tabular form. It is found that magnetic field , vortex viscosity and its steady state time has retarding effect on velocity and micro-rotation of micropolar fluid. For both cases (asymmetric and symmetric), thermal radiation parameter tends to improve velocity and micro-rotation profiles. Physically, due to increasing Nr, heat is generated in fluid flow, which leads to improvement in heat transfer as well as velocity throughout the fluid flow region.

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