Simultaneous features of MHD and radiation effects on the UCM viscoelastic fluid through a porous medium with slip conditions

Abstract

In this article, we analyzed upper-convected Maxwell (UCM) viscoelastic fluid flow in a permeable medium. Cattaneo–Christov (CC) heat flux theory is utilized for heat transfer phenomena. Impacts of thermal radiation, thermal slip condition and magnetohydrodynamic (MHD) are considered in modeling of the physical phenomena under investigation. The developed equations of fluid flow model are transformed to non-linear ordinary differential equations (ODEs) with some suitable similarity transformations. Numerical solution of ODEs with boundary conditions are investigated and the results are depicted through graphs and analyzed accordingly. From the present results, we concluded that velocity is declining for magnetic parameter; temperature is rising with thermal radiation and magnetic parameters while it shows reducing behavior for thermal slip parameter. Nusselt number observes decreasing behavior for larger values of porosity parameter, magnetic parameter, Deborah number, velocity slip and thermal slip parameters while opposite behavior is seen for radiation and thermal relaxation parameters. Furthermore, the accuracy of the current data was determined by comparing the heat transfer rate for several values of the porosity parameter to previously published results.