An improved heat conduction analysis in swirling viscoelastic fluid with homogeneous–heterogeneous reactions

Abstract

This paper studies an unsteady magnetohydrodynamic (MHD) Maxwell fluid flow on a rotating as well as a vertically moving disk in the presence of homogeneous–heterogeneous reactions. An improved heat conduction theory, namely Cattaneo–Christov heat flux, is implemented instead of classical Fourier’s law to analyze the thermal features. The problem is basically an extension of the well-known von Karman viscous pump problem to the situation where a disk is rotating. The leading equations of motion are converted into a set of nonlinear differential equations by using von Karman transformations. A Matlab-based scheme, namely bvp4c, which uses finite difference method, is employed for numerical integration. It is noted that the wall motion of the rotating disk performs a similar effect to that of suction/injection. Further, it is observed that by elevating thermal relaxation time parameter, the temperature field diminishes. Moreover, stronger rates of homogeneous and heterogeneous reactions cause to reduce the concentration profile.