Numerical Study of Unsteady MHD Flow and Entropy Generation in a Rotating Permeable Channel with Slip and Hall Effects

Z. H. Khan, O. D. Makinde, R. Ahmad, W. A. Khan

doi:10.1088/0253-6102/70/5/641

Communications in Theoretical Physics >

2018 , Vol. 70 >Issue 05: 641 - 650

DOI: https://doi.org/10.1088/0253-6102/70/5/641

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Numerical Study of Unsteady MHD Flow and Entropy Generation in a Rotating Permeable Channel with Slip and Hall Effects

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1. State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource & Hydropower, Sichuan University, Chengdu 610065, China;
2. Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University, Beijing 100084, China;
3. Faculty of Military Science, Stellenbosch University Private Bag X2, Saldanha 7395, South Africa;
4. School of Mathematics and Physics, University of Queensland, St Lucia, Brisbane 4072, Queensland, Australia;
5. Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, KPK, Pakistan;
6. Department of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University P.O. Box 1664, Al Khobar 31952, Kingdom of Saudi Arabia

Received date: 2018-04-19

Revised date: 2018-06-18

Online published: 2018-11-01

Supported by

Support of the National Natural Science Foundation of China under Grant Nos. 51709191 and 51706149, and Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education under Grant No. ARES-2018-10

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Abstract

This article investigates an unbiased analysis for the unsteady two-dimensional laminar flow of an incompressible, electrically and thermally conducting fluid across the space separated by two infinite rotating permeable walls.The influence of entropy generation, Hall and slip effects are considered within the flow analysis. The problem is modeled based on valid physical arguments and the unsteady system of dimensionless PDEs (partial differential equations) are solved with the help of Finite Difference Scheme. In the presence of pertinent parameters, the precise movement of the flow in terms of velocity, temperature, entropy generation rate, and Bejan numbers are presented graphically, which are parabolic in nature. Streamline profiles are also presented, which exemplify the accurate movement of the flow. The current study is one of the infrequent contributions to the existing literature as previous studies have not attempted to solve the system of high order non-linear PDEs for the unsteady flow with entropy generation and Hall effects in a permeable rotating channel. It is expected that the current analysis would provide a platform for solving the system of nonlinear PDEs of the other unexplored models that are associated to the two-dimensional unsteady flow in a rotating channel.

Key words： unsteady flow; rotating permeable channel; MHD; slip; hall effects; entropy analysis; finite difference method

Cite this article

Z. H. Khan, O. D. Makinde, R. Ahmad, W. A. Khan . Numerical Study of Unsteady MHD Flow and Entropy Generation in a Rotating Permeable Channel with Slip and Hall Effects[J]. Communications in Theoretical Physics, 2018 , 70(05) : 641 -650 . DOI: 10.1088/0253-6102/70/5/641

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