A study of unsteady rotating hydromagnetic free and forced convection in a channel subject to forced oscillation under an oblique magnetic field

Ghosh, S.K. and Anwar Bég, O. and Narahari, M. (2013) A study of unsteady rotating hydromagnetic free and forced convection in a channel subject to forced oscillation under an oblique magnetic field. Journal of Applied Fluid Mechanics, 6 (2). pp. 213-227. ISSN 17353572

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Abstract

A theoretical analysis is presented for transient, fully-developed magnetohydrodynamic free and forced convection flow of a viscous, incompressible, Newtonian fluid in a rotating horizontal parallel-plate channel subjected to a uniform strength, static, oblique magnetic field acting at an angle θ to the positive direction of the axis of rotation. A constant pressure gradient is imposed along the longitudinal axis of the channel. Magnetic Reynolds number is sufficiently small to negate the effects of magnetic induction. The channel plates are electrically non-conducting. The conservation equations are formulatedin an (x,y,z) coordinate system and normalized using appropriate transformations. The resulting non-dimensional coupled ordinary differential equations for primary and secondary velocity components and transformed boundary conditions are found to be reciprocal of the Ekman number K2=1/Ek non-dimensional pressure gradient parameter (Px), Hartmannnumber M2 Grashof number (Gr), magnetic field inclination(θ) and oscillation frequency(�). Complex variables are employed to solve the two-point boundary value problem. turbulent dynamo mechanism. A critical Grashof number (Grcx) is also evaluated for which primary flow reversal arises at the upper channel plate. A similar criterion for Grashof number (Grcy) is established for the onset of secondary flow reversal at the upper plate. A detailed assessment of the influence of the control parameters on primary and secondary velocity evolution in the channel is also conducted. The model finds applications inMHD (Magneto Hydro Dynamic) energy generators and also magnetic materials processing systems.

Item Type: Article
Additional Information: cited By 14
Depositing User: Mr Ahmad Suhairi UTP
Date Deposited: 09 Nov 2023 15:52
Last Modified: 09 Nov 2023 15:52
URI: https://khub.utp.edu.my/scholars/id/eprint/3986

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