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  • 學位論文

非等向性散射MHD流體流過楔形之對流的熱輻射效應分析

Radiation Effects on the MHD Flow of an Anisotropically Scattering Fluid over a Wedge

指導教授 : 陳澤明

摘要


本研究係探討一有吸入或噴射的非等向性散射MHD流體,以強迫對流流過有磁場的楔形流動其熱輻射作用之影響。本研究中的熱輻射部分,使用熱輻射方程式來敘述。假設楔形的表面是可以穿透具有壁吸入或噴射,並考慮具有漫射反射。有關黏性消散、內部熱源、應力作功及熱輻射等影響,皆包括在本研究內。在本研究中之統御方程式將轉換成一組非相似性的方程組,並以數值法的box method來求解。另本研究中的熱輻射方程式,係以Galerkin method來求解。研究數值結果以局部紐塞(Nusselt)數表示各種不同物理參數的影響,並透過圖表來說明。

並列摘要


This paper investigates the interaction of radiation with a MHD forced convection flow over a wedge with a magnetic field for an absorbing, emitting, and anisotropically scattering fluid. The radiative transfer equation is used to describe the radiation part of this problem. The wedge surface is assumed to be permeable so as to allow for possible wall suction or injection and the diffuse reflectivity of surface is also considered. The effects of viscous dissipation, joule heating, stress work and thermal radiation are included in the study. The governing differential equations are transformed into a set of non-similar equations and are solved numerically by the box method. For the radiation part of this problem, the radiative transfer equation is solved by the Galerkin method. Numerical results for the local Nusselt number with the magnetic field and radiation parameters are presented graphically to elucidate the influence of the various physical parameters.

參考文獻


﹝44﹞Jiin-Yuh, Jang and Chung-Ting, Hsu, “Vortex instability of MHD natural convection flow over a horizontal plate in a porous medium”, Computers & Fluid, 38, pp.333-339, 2009.
﹝1﹞Paul S. Lykoudis,“Natural Convection of an Electrically Conducting Fluid in the Presence of a Magnetic Field”, Int. J. Heat Mass Transfer, Vol.5,pp.23~24, 1962.
﹝2﹞Sparrow E.M. and Ces R.D., “The Effect of a Magnetic Field on Free Convection Heat Transfer”, Int. J. Heat Mass Transfer, Vol.3, pp.267~274, 1961.
﹝4﹞Romig Mary F., “The Influence of Electric and Magnetic Field on Heat Transfer to Electrically Conducting Fluid”, Advances in Heat Transfer, Vol.1, pp.267~354,1964.
﹝5﹞Craig Moffatt W.,“Heat Transfer in Magnetohydrodynamic

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