Analysis of Magnetohydrodynamic Stagnation Point Flow Due to a Fluid towards a Convectively Heated Permeable Stretching Sheet

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dc.contributor.authorMwangi, Njoroge Kelvin
dc.date.accessioned2021-03-04T06:59:12Z
dc.date.available2021-03-04T06:59:12Z
dc.date.issued2020-10
dc.descriptionA Research Project Submitted in Partial Fulfillment of the Requirement for the Award of the Degree of Masters of Science in Applied Mathematics in the School of Pure and Applied Sciences of Kenyatta University. October, 2020en_US
dc.description.abstractStagnation-point flow of an electrically conducting fluid over a continuously stretching surface in presence of magnetic fields is significant in many industrial processes such as the metallurgy, polymer processing, glass blowing, filaments drawn through quiescent electrically conducting fluid subject to magnetic fields, cooling of metallic plate, hot rolling, wire drawing, aerodynamic extrusion of plastic sheets, crystal growing. In these applications of stagnation point flow, the desired output depends largely on the rate of heating and the velocity of the fluid on the surface. The required rate will be achieved by variation of various thermophysical parameters such as suction parameter, Grashoff number, Hartmann number and buoyancy parameter. The resulting nonlinear partial differential equations governing this flow were reduced to nonlinear ordinary differential equations using similarity transformations and the resulting equations solved numerically using the fourth order Runge-Kutta scheme with a shooting technique. Graphical results were presented and discussed quantatively with respect to the effects of thermophysical parameters on both velocity and temperature profiles of the fluid. From the study we note that an increase in Grashoff number (Gr), Hartmann number (Ha) and suction parameter resulted to a corresponding increase in fluid velocity. The fluid temperature also increased with increase in Gr and Ha but decreased with increase in suction parameter and buoyancy parameter.en_US
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/21746
dc.language.isoenen_US
dc.publisherKenyatta Universityen_US
dc.subjectAnalysisen_US
dc.subjectMagnetohydrodynamic Stagnation Point Flowen_US
dc.subjectFluiden_US
dc.subjectConvectively Heated Permeableen_US
dc.subjectStretching Sheeten_US
dc.titleAnalysis of Magnetohydrodynamic Stagnation Point Flow Due to a Fluid towards a Convectively Heated Permeable Stretching Sheeten_US
dc.typeThesisen_US
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