A STUDY ON FLOW FORMATION OF CONDUCTING FLUID IN MACRO AND MICRO-CHANNELS

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dc.contributor.authorISA, SANI
dc.date.accessioned2016-03-01T09:15:34Z
dc.date.available2016-03-01T09:15:34Z
dc.date.issued2015-08
dc.descriptionIN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF DOCTOR OF PHILOSOPHY DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AHMADU BELLO UNIVERSITY, ZARIA NIGERIAen_US
dc.description.abstractMotion of an electrically conducting fluid in two types of geometries was studied; the macro-channels formed by two vertical parallel plates and annular micro-channels formed by two vertical concentric cylinders. The flow was assumed to be unsteady, fully developed laminar or steady laminar flow of viscous, incompressible and electrically conducting fluid with magnetic field applied perpendicular to the flow direction. The governing equations describing the different flow situations have been formulated and solved semi-analytically using a combination of Laplace transform technique and the Riemann-sum approximation, a method of taking the inverse of Laplace transform technique. However, the corresponding steady state solution and numerical solution by implicit unite difference method have also been obtained in the case of time dependent problems as a means of validating the obtained results. An excellent agreement at large values of time have been recorded. MATLAB programmes are written to compute and generate line graphs for the velocities, induced magnetic field, current density, volume flow rate and the skin frictions. A parametric study depicting the effect of the various dimensionless parameters on the velocity and skin friction was conducted. These parameters include the Prandtl number (Pr), the time (t), the suction/injection parameter (S), the Hartmann number (M), radius ratio (ɳ), rarefaction parameter ( Kn), and the fluid - wall interaction parameter (F). The effects of changing the parameters mentioned above were observed either to increase, to decrease or to have no effect on the velocity profiles and the skin friction indicating the existence of a Lorentz force generated by the interaction of the magnetic field and the electric field. To understand the fluid flow and the heat transfer characteristics of buoyancy-induced micropump and microheat exchanger in microfluidic and thermal systems, fully developed. MHD natural convection flow in a vertical annular microchannel with asymmetric wall temperature distributions was studied semi-analytically. Both of the velocity slip and viii the temperature jump conditions were considered because they have counter effects both on the volume flow rate and the heat transfer rate. Results revealed that in most of the natural convection situations, the volume flow rate at microscale is higher than that at macroscale, while the heat transfer rate is lower. It is, therefore, concluded that the temperature jump condition induced by the effects of rarefaction and fluid-wall interaction plays an important role in slip-flow natural convection.en_US
dc.identifier.urihttps://kubanni.abu.edu.ng/handle/123456789/7417
dc.language.isoenen_US
dc.subjectSTUDY,en_US
dc.subjectFLOW FORMATION,en_US
dc.subjectCONDUCTING,en_US
dc.subjectFLUID,en_US
dc.subjectMACRO AND MICRO-CHANNELSen_US
dc.titleA STUDY ON FLOW FORMATION OF CONDUCTING FLUID IN MACRO AND MICRO-CHANNELSen_US
dc.typeThesisen_US
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