Effects of heat source/sink on MHD flow and heat transfer over a shrinking sheet with mass suction

Chemical Engineering Research Bulletin Pub Date : 2011-09-30 DOI:10.3329/CERB.V15I1.6524

K. Bhattacharyya

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引用次数: 71

Abstract

An analysis is made to study the effects heat source/sink on the steady two dimensional MHD boundary layer flow and heat transfer past a shrinking sheet with wall mass suction. In the dynamic system, a uniform magnetic field acts normal to the plane of flow. The governing partial differential equations are transformed into self-similar ordinary differential equations using similarity transformations. Then the obtained self-similar equations are solved by finite difference method using quasilinearization technique. From the analysis it is found that the velocity inside the boundary layer enhances with increase of wall suction and magnetic field and accordingly the thickness of the momentum boundary layer decreases. The temperature decreases with Hartmann number, Prandtl number and heat sink parameter and the temperature increases with heat source parameter. Furthermore, for strong heat source heat absorption at the sheet occurs. Key words: MHD boundary layer, heat transfer, shrinking sheet, heat source/sink, suction. DOI: http://dx.doi.org/10.3329/cerb.v15i1.6524 Chemical Engineering Research Bulletin 15 (2011) 12-17

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热源/吸热对吸力收缩薄板MHD流动和传热的影响

分析了吸力作用下热源/吸热对MHD稳定二维边界层流动和收缩板传热的影响。在动力系统中，均匀的磁场垂直于流动平面。利用相似变换将控制偏微分方程转化为自相似常微分方程。然后利用拟线性化技术，用有限差分法求解得到的自相似方程。分析发现，边界层内的速度随壁面吸力和磁场的增大而增大，动量边界层的厚度相应减小。温度随哈特曼数、普朗特数和散热器参数的增加而降低，随热源参数的增加而升高。此外，对于强热源，薄板处发生吸热。关键词:MHD边界层，传热，收缩片，热源/吸力DOI: http://dx.doi.org/10.3329/cerb.v15i1.6524化学工程研究通报15 (2011)12-17

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Chemical Engineering Research Bulletin

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