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Thermal radiation effects on magneto hydro dynamic flow and heat transfer in a channel with porous walls of different permeability

Naikoti Kishan (Department of Mathematics, University college of Science, Osmania University, Hyderabad)
Vadithya Meenakshi (Department of Mathematics, University college of Science, Osmania University, Hyderabad)

This paper deals with the problem of thermal radiation effects on magneto hydro dynamic flow and heat transfer in a channel with porous walls of different permeability. The equations governing the flow are coupled non-linear partial differential equations. By introducing the stream function, the governing partial differential equations are reduced to ordinary differential equations. The governing equations which are coupled and highly non-linear are first linearized by quasilinearization technique and obtained numerical solution by using implicit finite difference scheme. The effects of various parameters, namely, Reynolds number R, Permeability parameter K, Hartmann number S2, Prandtl number Pr, and Thermal radiation parameter F, entering into the problem on the velocity field and temperature distribution are shown graphically.

Keywords: Magneto hydro dynamic, thermal radiation, permeability parameter, finite difference method, Reynolds number, Hartmann number