Mathematical analysis of MHD flow of an optically thin viscous fluid through a channel

Abstract

In this paper, the influence of radiation on MHD flow of an optically thermal conductivity viscous incompressible fluid a through channel with a sliding wall and irregular temperatures are presented. The approximated analytical expressions of the dimensionless temperature and the dimensionless velocity are derived by using the New Homotopy analysis method. Further the analytical expression of the Nusselt number is also derived. The graphical representations of temperature and velocity profiles are depicted with the help of thermal conductivity variation parameters, thermal radiation parameter, axial pressure gradient parameter, magnetic parameter, Grashof number. We also present the qualitative of the critical relationship between the parameters. The New Homotopy analysis method can be further extended to solve some strongly non-linear boundary value problems in other MHD fluid flow in engineering problems.