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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.v42.i6.40
pages 537-552

Magnetohydrodynamics of a Mixed Convection Flow in a Vertical Microannulus: An Exact Solution

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

ABSTRAKT

An exact solution of steady fully developed mixed convection flow of viscous, incompressible, electrically conducting fluid in a vertical microannulus in the presence of transverse magnetic field by taking in to consideration of velocity slip and temperature jump at the vertical microannulus surfaces is obtained. The momentum and energy equations representing the present physical situation are presented in dimensionless form along with relevant boundary conditions. The mathematical model is solved using the method of undetermined coefficients. Exact solution is expressed in terms of modified Bessel function of first kind and second kind. The solution obtained is graphically represented and the effects of radius ratio, magnetic field, Knudsen number, and mixed convection on the flow is investigated. It is interesting to remark that as magnetic field increases, there is decrease in the fluid velocity at the outer surface of inner cylinder while there is an increase at the inner surface of the outer cylinder. Furthermore, it is also discovered that an increase in magnetic field parameter leads to decrease in the rate of heat transfer at outer surface of inner cylinder while it increase at inner surface of outer cylinder.


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