A STUDY ON MHD FREE-CONVECTIVE FLOW IN MICRO-CHANNELS
A STUDY ON MHD FREE-CONVECTIVE FLOW IN MICRO-CHANNELS
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Date
2016-01
Authors
AJIYA, ABDURRAHMAN TUKUR
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Abstract
This work analyses the steady natural convection flow of viscous, incompressible, electrically conducting fluid in a vertical parallel plate micro-channels with combined effects of transverse magnetic field and suction/injection in the presence of velocity slip and temperature jump at the micro-channel surfaces. The fully developed solutions of the velocity, temperature, volume flow rate, skin-friction and rate of heat transfer which is expressed as a Nusselt number are derived analytically. The solution obtained for the velocity has been used to compute the skin friction, while the temperature has been used to compute the Nusselt number. The effect of the various flow parameters such as suction/injection parameter, Hartmann number, rarefaction parameter, and fluid-wall interaction parameter are discussed with the aid of line graphs. During the course of numerical computations, results show that as suction/injection, rarefaction and fluid-wall interaction increase, the volume flow rate increases while it decreases with increase in Hartmann number. The implication of this on the flow is that the gas velocity near the wall will decrease.
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A THESIS SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER OF SCIENCE DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA
Keywords
MHD FREE-CONVECTIVE FLOW, MICRO-CHANNELS