Magnetohydrodynamic Viscous Flow Over a Shrinking Sheet With Second Order Slip Flow Model

TL;DR

This paper presents an exact solution for magnetohydrodynamic viscous flow over a shrinking sheet using a second order slip model, analyzing the effects of slip, suction, and magnetic parameters on flow behavior.

Contribution

It provides a novel exact solution for MHD viscous flow with second order slip over a permeable shrinking sheet, including analysis of multiple solution branches.

Findings

Two solution branches identified: lower and upper.

Velocity and shear stress profiles depend on slip, suction, and magnetic parameters.

Detailed graphical analysis of parameter effects on flow behavior.

Abstract

In this paper, we investigate the magnetohydrodynamic viscous flow with second order slip flow model over a permeable shrinking surface. We have obtained the closed form of exact solution of Navier-Stokes equations by using similarity variable technique. The effects of slip, suction and magnetic parameter have been investigated in detail. The results show that there are two solution branches, namely lower and upper solution branch. The behavior of velocity and shear stress profiles for different values of slip, suction and magnetic parameters has been discussed through graphs.