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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.2018020274
pages 301-320

MHD MIXED CONVECTION FLOW OF HEAT-GENERATING/ABSORBING FLUID IN VERTICAL CONCENTRIC ANNULI WITH TIME PERIODIC BOUNDARY CONDITION: STEADY PERIODIC REGIME

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

ABSTRAKT

The effects of heat-generating/absorbing fluid on the flow formation and heat transfer aspects of steady periodic fully developed mixed convection flow of viscous, incompressible, and electrically conducting fluid in vertical concentric annuli is studied in the presence of a magnetic field, where the outer surface of the inner cylinder is heated sinusoidally and the inner surface of the outer cylinder is kept at a constant temperature. The analysis is carried out for fully developed parallel flow and steady periodic regime. The governing dimensionless momentum and energy equations are separated into steady and periodic parts and solved analytically. The dimensionless temperature, velocity, pressure drop, and rate of heat transfer are shown graphically. The effects of dimensionless numbers and pertinent parameters such as heat generation/absorption, magnetic field, Prandtl number, and the dimensionless frequency on flow fields are explored. It is discovered that the increase of the heat generation parameter enhanced the rate of heat transfer whereas an increase of the heat absorption parameter reduced the rate of heat transfer.


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