A STUDY ON BUOYANCY DRIVEN FLOW OF CONDUCTING FLUID IN A VERTICAL MICRO-CHANNEL WITH HALL EFFECT

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dc.contributor.authorMALGWI, Peter Bukar
dc.date.accessioned2019-09-05T13:47:50Z
dc.date.available2019-09-05T13:47:50Z
dc.date.issued2017-10
dc.descriptionA DISSERTATION SUBMITTED TO THE SCHOOL OF POST GRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA-NIGERIA, IN PARTIAL FULFILMENT FOR THE AWARD OF MASTERS DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIAen_US
dc.description.abstractThis dissertation presents a theoretical study on buoyancy driven flow of viscous, electrically conducting and incompressible fluid in a vertical microchannel formed by two infinite vertical parallel plates in the presence of Hall effect. The problem is further extended to the case when the micro-channel plates are porous to investigate the effect of continuous suction/injection on the micro flow. Analytical solutions for energy and momentum equations are obtained using the method of undetermined coefficient. The influence of each governing parameter such as Hall current parameter, Hartmann number, suction/ injection parameter, rarefaction parameter, fluid wall interaction parameter and wall-ambient temperature ratio on flow formation is analysed with the aid of line graphs and thereafter discussed. Numerical comparison of the present study with previously published results was established to validate the accuracy of the current solution. The results reveal that the Hall current parameter plays a significant role in enhancing the fluid flow, resulting to increase in fluid velocity and volume flow rate in both primary and secondary direction. In addition, it is interesting that the volume flow rate is higher in both flow directions due to increase in buoyancy force by increasing the temperature of the cooler wall. Also, the effect of the Hall current on velocity and volume flow could be further magnified by increasing gas rarefaction or increasing cooler wall temperature. Suction/injection on the other hand has a profound effect on the boundary layer thickness in which the suction reduces the thermal boundary layer thickness yielding a decrease in the convective current thereby decreasing fluid velocity and also the skin friction whereas injection thickens yielding an increase in fluid velocity.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/11837
dc.language.isoenen_US
dc.subjectCONDUCTING FLUID,en_US
dc.subjectVERTICAL MICRO-CHANNEL,en_US
dc.subjectHALL EFFECT,en_US
dc.subjectBUOYANCY DRIVEN FLOW,en_US
dc.titleA STUDY ON BUOYANCY DRIVEN FLOW OF CONDUCTING FLUID IN A VERTICAL MICRO-CHANNEL WITH HALL EFFECTen_US
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