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

• Published in: Applied mathematics and mechanics Vol. 40; no. 6; pp. 837 - 850
• Main Authors: Rauf, A., Abbas, Z., Shehzad, S. A.
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01.06.2019; Springer Nature B.V; Department of Mathematics,COMSATS University Islamabad,Sahiwal 57000,Pakistan%Department of Mathematics,The Islamia University of Bahawalpur,Bahawalpur 63100,Pakistan%Department of Mathematics,COMSATS University Islamabad,Sahiwal 57000,Pakistan; Department of Mathematics,The Islamia University of Bahawalpur,Bahawalpur 63100,Pakistan
• Edition: English ed.
• Subjects: Applications of Mathematics; Classical Mechanics; Computational fluid dynamics; Fluid flow; Fluid- and Aerodynamics; Graphical representations; Incompressible flow; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nonlinear systems; Parameters; Partial Differential Equations; Porosity; Porous media; Relaxation method (mathematics); Relaxation time; Rotating disks; Swirling; Thermal relaxation; Three dimensional flow; Velocity distribution; Viscous fluids; numerical solution; Maxwell-Cattaneo law; 76Bxx; 76Sxx; porous medium; time-dependent flow; O361; magnetohydrodynamic (MHD); oscillatory disk
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-019-2488-9

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.