Utilization of Maxwell-Cattaneo law for MHD swirling flow through oscillatory disk subject to porous medium

doi:10.1007/s10483-019-2488-9

摘要/Abstract

摘要： The present study aims to investigate the salient features of incompressible, hydromagnetic, three-dimensional flow of viscous fluid subject to the oscillatory motion of a disk. The rotating disk is contained in a porous medium. Furthermore, a time-invariant version of the Maxwell-Cattaneo law is implemented in the energy equation. The flow problem is normalized by obtaining similarity variables. The resulting nonlinear system is solved numerically using the successive over-relaxation method. The main results are discussed through graphical representations and tables. It is perceived that the thermal relaxation time parameter decreases the temperature curves and increases the heat transfer rate. The oscillatory curves for the velocity field demonstrate a decreasing tendency with the increasing porosity parameter values. Two- and three-dimensional flow phenomena are also shown through graphical results.

关键词: dynamic programming, systems of functional equations, common and coincidence solutions, Maxwell-Cattaneo law, porous medium, magnetohydrodynamic (MHD), oscillatory disk, numerical solution, time-dependent flow

Abstract: The present study aims to investigate the salient features of incompressible, hydromagnetic, three-dimensional flow of viscous fluid subject to the oscillatory motion of a disk. The rotating disk is contained in a porous medium. Furthermore, a time-invariant version of the Maxwell-Cattaneo law is implemented in the energy equation. The flow problem is normalized by obtaining similarity variables. The resulting nonlinear system is solved numerically using the successive over-relaxation method. The main results are discussed through graphical representations and tables. It is perceived that the thermal relaxation time parameter decreases the temperature curves and increases the heat transfer rate. The oscillatory curves for the velocity field demonstrate a decreasing tendency with the increasing porosity parameter values. Two- and three-dimensional flow phenomena are also shown through graphical results.

Key words: dynamic programming, systems of functional equations, common and coincidence solutions, Maxwell-Cattaneo law, time-dependent flow, magnetohydrodynamic (MHD), porous medium, oscillatory disk, numerical solution

中图分类号:

76Bxx
76Sxx

A. RAUF, Z. ABBAS, S. A. SHEHZAD. Utilization of Maxwell-Cattaneo law for MHD swirling flow through oscillatory disk subject to porous medium[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(6): 837-850.

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