Flow of a viscoelastic fluid on a moving plate
This thesis investigates three dimensional magneto-hydrodynamic stagnation point flow towards a moving plate of Walters’ B’ fluid through a porous medium.
Firstly, the differential equations which govern the flow of Waltes’ B’ fluid with magnetic effect in a porous medium are obtained. By using similarity transformations the non-linear partial differential equations of motion is reduced to non-linear ordinary differential equation system. The resulting ordinary differential equation system is a singular boundary value problem. Therefore, regular boundary value problem, which is achieved by perturbation method, is solved with numerical method. Then, the singular value problem is solved directly by numerical method.
Velocity profiles, shear stress at the plate surface and heat transfer between plate and fluid due to different elastic parameter, magnetic parameter and porosity parameter has been presented with tables and graphics. The validity range of perturbation method solution was determined by comparing the results of the direct numerical solution.
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