A COMPUTATIONAL STUDY ON THERMO-SOLUTAL CONVECTION IN MAGNETOHYDRODYNAMICS (MHD) FLOW WITH DUFOUR EFEECT

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dc.contributor.authorDURU, Timothy Chibundo
dc.date.accessioned2018-12-21T10:22:02Z
dc.date.available2018-12-21T10:22:02Z
dc.date.issued2018-05
dc.descriptionA DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA, IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER OF SCIENCE DEGREE IN MATHEMATICS,en_US
dc.description.abstractABSTRACT A computational study on thermo-solutal convection in Magnetohydrodynamics (MHD) flow with Dufour effect is the subject of this research work. A fully developed unsteady natural convection flow of viscous, incompressible and electrically conducting fluid in a microchannel formed by two vertical plates under the influence of transverse magnetic field of uniform strength 0 B which is applied in the direction perpendicular to that of the flow is considered. In this flow formation, temperature is influenced by concentration of the introduced chemical species, leading to diffusion-thermo effect on the heat and mass transfer. In an extended study, the flow is subjected to suction of the fluid from one porous plate and at the same rate fluid is being injected through the other porous plate. Fluid motion is induced by asymmetric heating of the channel plates taking into consideration velocity slip and temperature as well as concentration jumps on the boundaries. Heat source parameter as well as Dufour effects are also taken into cognizance. Partial differential equations that describe the energy and concentration within the system follow the dual-phase-lag model for heat conduction. Laplace transform approach is used to solve the resulting governing equations in Laplace domain while the inversion into time domain is made possible through the Riemannsum approximation technique. The response of mean chemical concentration, bulk fluid temperature and mass flux within the channel to different flow parameters are investigated. It is worth noting that regardless of temperature gradient or heat flux influence on the fluid flow, the resultant mass flux decreases by increasing the Hartmann number (m) and also, it increases with an increase in Biot number (Bi) as well as Dufour number (D). In addition, the mean temperature rises following an increase in Dufour (D) number but decreases with growing thermal retardation time ( T  ). Furthermore, it is observed that heat generation ( ) increases temperature profile, velocity profile and also skin friction.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/11079
dc.language.isoenen_US
dc.subjectCOMPUTATIONAL STUDY,en_US
dc.subjectTHERMO-SOLUTAL CONVECTION,en_US
dc.subjectMAGNETOHYDRODYNAMICS,en_US
dc.subjectDUFOUR EFEECT,en_US
dc.subject(MHD) FLOWen_US
dc.titleA COMPUTATIONAL STUDY ON THERMO-SOLUTAL CONVECTION IN MAGNETOHYDRODYNAMICS (MHD) FLOW WITH DUFOUR EFEECTen_US
dc.typeThesisen_US
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