A Novel Approach to Develop a Closed-Form Solution for MHD Flow Induced by a Rotating Disk

Abstract

This paper introduces a new approach to tackle the boundary value problem representing magnetohydrodynamics flow developed by a rotating disk. The problem comprises of a coupled and non-linear differential system which appears difficult to be computed exactly. A contemporary MATLAB's package bvp4c is used to solve the problem numerically and then, with the help of the numerical solution, a closed-form solution is constructed via a systematic method. All computations are made for a specific value of the magnetic interaction parameter. Residuals of governing equations are plotted which ascertain that the obtained closed-form solution matches closely with the exact solution.

Keywords

• Closed-form solution
• Dirichlet conditions
• residual analysis