SOLUTIONS OF CONVECTIVE BOUNDARY LAYER FLOWS VIA SCALING GROUP TRANSFORMATION METHOD

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dc.contributor.authorAL-ASSAFI, ALI ABID MUTLAG
dc.date.accessioned2015-07-30T00:18:08Z
dc.date.available2015-07-30T00:18:08Z
dc.date.issued2014-05
dc.description.abstractThe aim of this thesis is to find similarity solutions for some models in fluid mechanics using the method of scaling group transformation. In this thesis the steady two-dimensional incompressible laminar boundary layer on a flat plate as well as wedge flow models both in porous media and clear media have been studied. The working fluid considered is Newtonian and non-Newtonian (power-law, micropolar) with slip boundary condition, thermal radiation, variable viscosity, convective boundary condition and heat generation effects. Scaling group transformation method reduces the number of the independent variables as well as the dependent variables and maps the partial differential equations to ordinary differential equations. Using the symmetry transformations analysis, the similarity transformations have been obtained. Hence, the governing equations for flow models are transformed into similarity equations. The transformed equations are solved numerically by the Runge-Kutta-Fehlberg fourth-fifth order numerical method using Maple 13. The effects of parameters (velocity slip, thermal slip, Falkner-Skan power-law, thermal conductivity, variable viscosity, suction/injection, power-law index, thermal radiation, viscosity index, rheological, heat generation, convective heat, Prandtl number, micropolar, Grashof number, permeability, micro-rotational density, Eckert number, vortex viscosity and microrotation) on the dimensionless velocity, angular velocity, temperature and the physical quantities (shear stress, heat transfer rate and couple stress factor) have been studied and discussed. Good agreements were found between the numerical results of the present study with published results (where available). The present study find applications in artificial heart valves, internal cavities, nano/micro devices, synthetic fibers, foodstuffs, extrusion of molten plastic and as well as in some flows of polymer solutions.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/866
dc.subjectSOLUTIONS OF CONVECTIVEen_US
dc.titleSOLUTIONS OF CONVECTIVE BOUNDARY LAYER FLOWS VIA SCALING GROUP TRANSFORMATION METHODen_US
dc.typeThesisen_US
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