Critical behaviour of the solution of hydromagnetic flows in a channel with slip at the permeable boundaries

Abstract

In this thesis under the title “Critical behavior of the Solution of Hydromagnetic Flows in a Channel with slip at the permeable boundaries”, the effects of externally applied homogeneous magnetic field on the steady flow of conducting viscous fluid in a slowlyvarying exponentially and uniform width channel with slip at the permeable boundaries is investigated. The combined effect of magnetic field and permeable walls slip velocity on the twodimensional, steady, nonlinear flow of an incompressible conducting viscous fluid in a Channel of uniform width by means of Hermite − Pade¢ approximation especially high order differential approximate method has been studied. Hydromagnetic flows in a channel with slip at the permeable boundaries is investigated from the semi numerical and semi-analytical point of view. We have obtained the series related to similarity parameters by using algebraic programming language MAPLE. The series is then analyzed by approximate methods to show the dominating singularity behavior of the flow and the critical relationship among the parameters of the solution.