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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v43.i4.50
pages 350-367

MHD Mixed Convection Flow in a Vertical Pipe with Time Periodic Boundary Condition: Steady Periodic Regime

Basant K. Jha
Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
BABATUNDE AINA
FEDERAL UNIVERSITY GASHUA

RÉSUMÉ

This study presents an analytical solution for fully developed mixed convection flow of viscous, incompressible, electrically conducting fluid in vertical pipe having time-periodic boundary condition in the presence of transverse magnetic field. The analysis is carried out for fully developed parallel flow and steadyperiodic regime. The governing dimensionless momentum and energy equations are separated into steady and periodic parts and solved analytically. Closed form solutions are expressed in terms of modified Bessel function of first kind and second kind. The influence of each governing parameter such as magnetic parameter, Prandtl number, the dimensionless frequency on flow formation is discussed with the aid of graphs. The significant result from the study is that, the amplitude of the friction factor oscillation is maximum at a resonance frequency near the surface of the tube where there is periodic heating. In addition, increasing magnetic parameter decrease the amplitude of the friction factor oscillation.


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