Title: Magnetic field effect on fluid flow through a rotating rectangular straight duct with large aspect ratio

Authors: Mohammad Wahiduzzaman; Md. Kamruzzaman; Md. Mahmud Alam; Mohammad Ferdows

Addresses: Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh ' Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh ' Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh ' Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh

Abstract: Numerical study has been performed to investigate the fluid flow through a rotating rectangular straight duct in the presence of magnetic field under various flow conditions. Spectral method is applied as a main tool for the numerical calculation technique, where the Chebyshev polynomial, collocation method and the Newton-Raphson method are also used as secondary tools. The magnetohydrodynamic incompressible viscous steady fluid flow through a straight duct of rectangular cross-section rotating at a constant angular velocity about the centre of the duct cross-section is investigated to examine the combined effects of magnetic parameter (Mg), rotational parameter (Tr), pressure driven parameter (Dn) and aspect ratio (γ). One of the interesting phenomena of the flow is the solution curve and the flow structure. The flow structures in case of rotation of the duct axis, the pressure driven parameters with large magnetic parameters well as large rotational parameters are examined while other parameters remain constant. The calculations are carried out for 5 ≤ Mg ≤ 50,000, 50 ≤ Tr ≤ 100,000, Dn = 500, 1,000, 1,500 and 2,000 where the aspect ratio 3.0.

Keywords: magnetic parameter; rotational parameter; pressure driven parameter; magnetic field effect; fluid flow; rotating ducts; rectangular ducts; straight ducts; large aspect ratio; magnetohydrodynamics; incompressible flow; viscous flow.

DOI: 10.1504/PCFD.2014.065465

Progress in Computational Fluid Dynamics, An International Journal, 2014 Vol.14 No.6, pp.398 - 405

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 27 Oct 2014 *

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