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具有温度依赖粘度、热导率和电导率的二维蠕动流中的熵研究

Investigation of Entropy in Two-Dimensional Peristaltic Flow with Temperature Dependent Viscosity, Thermal and Electrical Conductivity.

作者信息

Qasim Muhammad, Ali Zafar, Farooq Umer, Lu Dianchen

机构信息

Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China.

Department of Mathematics, COMSATS University Islamabad (CUI), 455000, Park Road, Tarlai Kalan, Islamabad 44000, Pakistan.

出版信息

Entropy (Basel). 2020 Feb 10;22(2):200. doi: 10.3390/e22020200.

Abstract

This study comprehensively explores the generalized form of two-dimensional peristaltic motions of incompressible fluid through temperature-dependent physical properties in a non-symmetric channel. Generation of entropy in the system, carrying Joule heat and Lorentz force is also examined. Viscous dissipation is not ignored, for viewing in-depth, effects of heat transmission and entropy production. The modeling of equations is tracked first in fixed and then in wave frame. The resultant set of coupled non-linear equations are solved numerically by utilizing NDSolve in Mathematica. Comparison between NDSolve and the numerical results obtained through bvp4c MATLAB is made for the validation of our numerical codes. The attained results are found to be in excellent agreement. The impact of control parameters on the velocity profiles, pressure gradient, heat transfer, streamlines and entropy production are studied and discussed graphically. It is witnessed that entropy production and heat transfer are increased significantly subject to the enhancement of Hartman number, Brinkman number and electrical conductivity parameter. Hence, choosing appropriate values of physical parameters, performance and efficiency of flow structure and system can be improved. The results reported provide a virtuous insight into bio energy systems providing a useful standard for experimental and extra progressive computational multiphysics simulations.

摘要

本研究全面探讨了不可压缩流体在非对称通道中通过与温度相关的物理性质进行的二维蠕动运动的广义形式。还研究了系统中携带焦耳热和洛伦兹力时的熵产生情况。为了深入观察热传递和熵产生的影响,粘性耗散不能被忽略。首先在固定坐标系中,然后在波动坐标系中对方程进行建模。利用Mathematica中的NDSolve对所得的耦合非线性方程组进行数值求解。将NDSolve的结果与通过MATLAB的bvp4c获得的数值结果进行比较,以验证我们的数值代码。结果发现两者非常吻合。通过图形研究和讨论了控制参数对速度分布、压力梯度、热传递、流线和熵产生的影响。可以看出,随着哈特曼数、布林克曼数和电导率参数的增加,熵产生和热传递显著增加。因此,选择合适的物理参数值,可以提高流动结构和系统的性能和效率。所报道的结果为生物能源系统提供了有益的见解,为实验和进一步的先进计算多物理场模拟提供了有用的标准。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e07f/7516631/868d22679e89/entropy-22-00200-g001.jpg

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