Three-dimensional MHD flow over a shrinking sheet: Analytical solution and stability analysis

doi:10.1088/1674-1056/26/1/014704

Abstract The magnetohydrodynamic (MHD) steady and unsteady axisymmetric flows of a viscous fluid over a two-dimensional shrinking sheet are addressed. The mathematical analysis is carried out in the presence of a large magnetic field. The steady state problem results in a singular perturbation problem having an infinite domain singularity. The secular term appearing in the solution is removed and a two-term uniformly valid solution is derived using the Lindstedt-Poincaré technique. This asymptotic solution is validated by comparing it with the numerical solution. The solution for the unsteady problem is also presented analytically in the asymptotic limit of large magnetic field. The results of velocity profile and skin friction are shown graphically to explore the physical features of the flow field. The stability analysis of the unsteady flow is made to validate the asymptotic solution.

Keywords: steady and unsteady magnetohydrodynamic flows two-directional shrinking sheet exact and asymptotic solutions stability analysis

Received: 27 November 2015
Revised: 30 August 2016
Accepted manuscript online:

PACS:	47.65.-d	(Magnetohydrodynamics and electrohydrodynamics)
	04.20.Jb	(Exact solutions)
	04.25.-g	(Approximation methods; equations of motion)
	47.15.Fe	(Stability of laminar flows)

Corresponding Authors: Sumaira Afzal
E-mail: sumairaafzal66@yahoo.com

Cite this article:

Sumaira Afzal, Saleem Asghar, Adeel Ahmad Three-dimensional MHD flow over a shrinking sheet: Analytical solution and stability analysis 2017 Chin. Phys. B 26 014704

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Three-dimensional MHD flow over a shrinking sheet: Analytical solution and stability analysis

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