IEEE Access (Jan 2019)

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

  • Zeshan Zulifqar,
  • Azad Akhter Siddiqui,
  • Meraj Mustafa Hashmi

DOI
https://doi.org/10.1109/ACCESS.2019.2938314
Journal volume & issue
Vol. 7
pp. 124410 – 124416

Abstract

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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