A STUDY OF TIME DEPENDENT NATURAL CONVECTION FLOW IN A VERTICAL POROUS CHANNEL

dc.contributor.authorTAFIDA, Mohammed Kabir
dc.date.accessioned2015-03-23T10:39:41Z
dc.date.accessioned2015-03-23T10:39:57Z
dc.date.available2015-03-23T10:39:41Z
dc.date.available2015-03-23T10:39:57Z
dc.date.issued2014-12
dc.descriptionIN PARTIAL FULFILMENT FOR THE AWARD OF MASTER OF SCIENCE IN MATHEMATICS DEPARTMENT OF MATHEMATICS AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA DECEMBER, 2014en_US
dc.description.abstractThe transient motion of a viscous incompressible uid in vertical porous channel is rst anal- ysed considering the e ect of transpiration and heat generation in the channel. In the second part of the problem, natural convection ow of an incompressible viscous uid in a vertical channel is analysed when the porous plates are subjected to isothermal and adiabatic condi- tions. The governing equations are solved using the Laplace transform method. Due to the di culties that are associated with the analytical inversion of the obtained results from the Laplace to the time domain, the Riemann-Sum approach is employed to do the inversion, thus obtaining the temperature, velocity, skin-friction and rate of heat transfer. To validate the Riemann-sum approach used, the steady state solution for velocity and temperature are obtained analytically. An excellent agreement is found between the steady state solutions and the transient solutions at large values of time. From the course of investigation, it is revealed that heat generation leads to an increase in heat transfer on the cold plate while it decreases it on the heated plate. vien_US
dc.identifier.urihttp://hdl.handle.net/123456789/6295
dc.language.isoenen_US
dc.subjectTIME DEPENDENT,en_US
dc.subjectNATURAL,en_US
dc.subjectCONVECTION,en_US
dc.subjectFLOW,en_US
dc.subjectVERTICAL POROUSen_US
dc.subjectCHANNEL.en_US
dc.titleA STUDY OF TIME DEPENDENT NATURAL CONVECTION FLOW IN A VERTICAL POROUS CHANNELen_US
dc.typeThesisen_US
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