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首页> 外文期刊>International Journal of Heat and Mass Transfer >Analysis of first and second laws of thermodynamics between two isothermal cylinders with relative rotation in the presence of MHD flow
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Analysis of first and second laws of thermodynamics between two isothermal cylinders with relative rotation in the presence of MHD flow

机译：在存在MHD流动的情况下两个等温圆柱体之间具有相对旋转的热力学第一定律和第二定律分析

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摘要

In this paper, an analysis of the first and second laws of thermodynamics is presented to show the effects of MHD flow on the distributions of velocity, temperature and entropy generation between two concentric rotating cylinders. The flow inside the gap is assumed to be steady state and laminar for an incompressible, viscous, and Newtonian fluid. The walls of the cylinders are kept at different constant temperatures. Governing equations in cylindrical coordinates are simplified and analytically solved to obtain the local and average (overall) entropy generation rate. Due to the nature of the problem, the velocity distribution in the annulus becomes as the modified Bessel functions I_1(MR) and K_1(MR). Therefore, to obtain the temperature field, the expansions of the modified Bessel functions I_1(MR) and K_1(MR), with 3 terms, are employed in the energy equation. The results are presented for various values of Hart-mann number (M), radius ratio (∏), group parameter (Ω2/Br), and Brinkman number (Br).
机译：在本文中，对热力学的第一定律和第二定律进行了分析，以显示MHD流动对两个同心旋转圆柱体之间的速度，温度和熵的分布的影响。对于不可压缩，粘性和牛顿流体，假定间隙内的流动为稳态且为层流。气瓶壁保持不同的恒定温度。简化并解析求解圆柱坐标中的控制方程，以获得局部和平均（整体）熵生成率。由于问题的性质，环上的速度分布变为修正的贝塞尔函数I_1（MR）和K_1（MR）。因此，为了获得温度场，在能量方程中采用了3个项的修正贝塞尔函数I_1（MR）和K_1（MR）的展开。给出了哈特曼数（M），半径比（∏），组参数（Ω2/ Br）和布林克曼数（Br）的各种值的结果。

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