A STUDY ON MAGNETOHYDRODYNAMIC NATURAL AND MIXED CONVECTION FLOWS IN VERTICAL CONCENTRIC ANNULI FILLED WITH POROUS MATERIAL

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dc.contributor.authorCHIA, RAPHAEL AHEMBA
dc.date.accessioned2017-02-13T08:10:02Z
dc.date.available2017-02-13T08:10:02Z
dc.date.issued2016-05
dc.descriptionA DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA, IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF A MASTER OF SCIENCE DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA.en_US
dc.description.abstractThis dissertationconsiders steady fully developed free and mixed convective flows of a viscous, incompressible, electrically conducting fluid in vertical concentric annuli, formed by two infinite and vertical concentric cylinders, filled with porous material having variable porosity in the presence of radial magnetic field. Unified exact solutions are derived by taking into account an isothermal or isoflux thermal boundary condition at the outer surface of inner cylinder. The solutions obtained are graphically represented and the effects of various controlling parameters such as Hartmann number, Darcy number, ratio of viscosity and the gap between the cylinders on the flow formation are discussed. The major results reveal that velocity of the fluid in the first problem is higher in case of isothermal heating of outer surface of inner cylinder compared to constant heat flux heating when the gap between cylinders is less or equal to radius of inner cylinders while reverse phenomena occur when the gap between cylinders is greater than radius of inner cylinder. In the second problem, velocity is approximately the same for both isothermal and isoflux thermal boundary conditions.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/8674
dc.language.isoenen_US
dc.subjectSTUDY,en_US
dc.subjectMAGNETOHYDRODYNAMIC NATURAL,en_US
dc.subjectMIXED CONVECTION FLOWS,en_US
dc.subjectVERTICAL CONCENTRIC ANNULI FILLED,en_US
dc.subjectPOROUS MATERIAL,en_US
dc.titleA STUDY ON MAGNETOHYDRODYNAMIC NATURAL AND MIXED CONVECTION FLOWS IN VERTICAL CONCENTRIC ANNULI FILLED WITH POROUS MATERIALen_US
dc.typeThesisen_US
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