| Summary: | 碩士 === 國立成功大學 === 機械工程學系 === 107 === The problem of magnetohydrodynamic flow, heat transfer and entropy generation rate for a non-Newtonian power-law fluid past a stationary wedge in the presence of a transverse magnetic field is analyzed. The Falkner-Skan equation is applied for the wedge flow. The magnetic field density and surface temperature of the wedge are assumed to vary with the distance from the origin. The governing equations are transformed to nonlinear ordinary differential equations by similarity transformation and several physical parameters related to flow behavior of power-law fluid, magnetic field, angle and surface temperature are introduced.
The governing equations are solved numerically by Hybrid Laplace Adomian Decomposition Method. Laplace Adomian Decomposition Method (LADM) combines the Laplace transformation and Adomian Decomposition Method and is used to solve the nonlinear differential equations. In order to make the result of LADM converge, Padé approximant is employed and the method is named Hybrid Laplace Adomian Decomposition Method.
The results of this study concerns with the velocity and temperature profiles. The Second-law of characteristic of the system is considered and computed from the velocity and temperature. Parameters effecting velocity, temperature and entropy generation rate will be discussed in this study. The local skin-friction coefficient and the local Nusselt number are also tabulated and analyzed.
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