Title: Chebyshev spectral collocation method for MHD duct flow under slip condition

Authors: Canan Bozkaya; Önder Türk

Addresses: Department of Mathematics, Middle East Technical University, Ankara, Turkey ' Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey

Abstract: The magnetohydrodynamic problem of a fully developed flow of an incompressible and electrically conducting fluid is solved numerically by a Chebyshev spectral collocation method in a square duct with walls of variable electric conductivities under a slip condition for velocity. The flow is driven by a constant pressure gradient under the effect of an externally applied oblique magnetic field. The efficiency of the method that is implemented in the physical space on preassigned collocation points is exploited to discretise the governing equations. The corroboration and validation of the proposed technique are carried out by means of a case study with published results substantiating that its implementation results in satisfactorily good agreements. Novel results are presented graphically, and the combined effects of the most characteristic magnetohydrodynamic flow parameters such as the slip length, conductivity parameter, and Hartmann number on the velocity and induced magnetic field are investigated.

Keywords: MHD flow; rectangular duct; slip condition; variable conductivity; Chebyshev spectral collocation.

DOI: 10.1504/PCFD.2022.121863

Progress in Computational Fluid Dynamics, An International Journal, 2022 Vol.22 No.2, pp.118 - 129

Received: 19 Sep 2020
Accepted: 24 Apr 2021

Published online: 07 Apr 2022 *

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