Dual Solutions Of Convection Boundary Layer Flows In Porous Media, Nanofluid And Viscous Fluid

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dc.contributor.authorFauzi, Nur Fatihah
dc.date.accessioned2019-03-06T07:46:12Z
dc.date.available2019-03-06T07:46:12Z
dc.date.issued2018-05
dc.description.abstractThe dual solutions of the boundary layer flows and convective heat transfer equations can be obtained due to the nonlinearity of the differential equations and the difference of geometric or fluid mechanical parameters. Experimentally, the existence of dual or multiple solutions seem difficult to anticipate, thus mathematical computation is essential to provide the details of flow structure and to observe occurrence of dual or multiple solutions. This thesis presents a detailed numerical study on dual solutions for convection boundary layer problems by considering four different problem: (1) mixed convection flow of sphere through porous medium in presence of heat generation/ absorption at lower stagnation point; (2) magnetohydrodynamics (MHD) stagnation point flow over a stretching/shrinking sheet in a nanofluid with heat absorption and convective boundary condition; (3) mixed convection flow on a vertical flat surface with melting effect in a non-Darcian porous medium; (4) stagnation point flow and heat transfer over a nonlinear shrinking sheet with suction and slip effects. Using the similarity transformation, the nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations. The reduced nonlinear ordinary differential equations are solved using the Keller-box method and the shooting method involves Runge-Kutta method together with Newton Raphson correction. The numerical methods used in this study are programmed in Fortran and Maple softwares, respectively. Numerical computations are carried out for different parameters on fluid flow and heat transfer for each of the specific problem on hands. It is found that dual solutions exist in the considered problems of porous media, nanofluid and viscous fluid which involves sphere, stretching or shrinking sheet and vertical flat surface.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/7846
dc.language.isoenen_US
dc.publisherUniversiti Sains Malaysiaen_US
dc.subjectThe dual solutions of the boundary layer flowsen_US
dc.subjectconvective heat transfer equationsen_US
dc.titleDual Solutions Of Convection Boundary Layer Flows In Porous Media, Nanofluid And Viscous Fluiden_US
dc.typeThesisen_US
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