Heat transfer analysis of viscous fluid flow between two coaxially rotated disks embedded in permeable media by capitalizing non-Fourier heat flux model

Abstract

Current analysis illustrates the systematic survey about the flow features imparted by viscous fluid between two coaxially rotated disks embedded in a permeable medium. Energy equation has been built by encompassing Cattaneo–Christov heat flux law.Prevailing non-linear PDEs are converted into non-linear ODEs by utilizing Von Karman transformations. Afterwards, the attained differential system is solved by capitalizing implicit finite difference scheme. Interpretation regarding the impact of dimensionless involved parameters on axial, tangential and radial components of velocity, thermal distribution is exhibited. Comparison for skin friction coefficients on walls of disks is also manifested. An excellent agreement with previous work is established which assures the reliance of present work. After getting through intellect about the variations it is disclosed that the magnitude of axial and radial velocities diminishes at lower disk contrary to upper disk for intensifying magnitude of Reynold number. Furthermore, the shear stress rate at walls of upper and lower disks is also deliberated. Increment in tangential component of velocity is also manifested for uplifts values of Reynold number. In case of thermal distribution, it is deduced that thermal field decrements for increasing of Pr and thermal relaxation parameter. It is worthy to mention that shear drag coefficient at wall of lower disk decreases conversely to the wall shear coefficient magnitude at wall of upper disk.