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Equivalences and correspondences between the deforming body induced flow and heat in two-three dimensions

机译：变形体感应流动与热量在二维上的等价关系和对应关系

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摘要

This paper is concerned with the analysis of magnetohydrodynamic fluid flow and heat transfer due to two-three dimensional porous and deforming (stretching/shrinking) bodies. It is aimed to prove from a theoretical approach that several boundary value problems regardless of two or three dimensions associated with the stretching/shrinking surfaces having different physical origin result in either the equivalent structure of governing equations or the interchangeable role of mechanisms of stretching or shrinking. Therefore, a link is created between the deforming surface phenomena considered in different geometries in the open literature. On the grounds of the provided theorems, a special care must be paid before working on the variations of this physical phenomenon, since the skin friction and the rate of heat transfer of engineering interest may have already been extracted from an already studied twin problem, namely the two-dimensional nonlinear (power-law) deformation analysis. It is further shown that the radial nonlinear stretching/shrinking sheet problem also evolves into the two-dimensional nonlinear wall deformation problem. (C) 2016 AIP Publishing LLC.
机译：本文涉及由于二维多孔和变形（拉伸/收缩）体引起的磁流体流体流动和传热的分析。目的是从理论上证明，与具有不同物理原点的拉伸/收缩表面相关联的几个边界值问题，无论是二维还是三维，都将导致控制方程的等效结构或拉伸或收缩机理的互换作用。 。因此，在公开文献中以不同几何形状考虑的变形表面现象之间建立了联系。根据提供的定理，在研究这种物理现象的变化之前，必须格外小心，因为皮肤摩擦和工程兴趣的传热速率可能已经从已经研究的孪生问题中提取出来，即二维非线性（幂律）变形分析。进一步表明，径向非线性拉伸/收缩片问题也演变成二维非线性壁变形问题。 （C）2016 AIP出版有限责任公司。

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