Significance of the Cattaneo–Christov theory for heat transport in swirling flow over a rotating cylinder

Abstract

In this article, an analysis is conducted on the flow over a circular cylinder enduring torsional motion immersed in a viscous fluid. The thermal energy distribution is examined for constant and variable surface temperatures. The problem is formulated for an axisymmetric flow in the Cattaneo–Christov double diffusion theory, wherein the energy equation is modified. Note that the rotation of the cylinder is axially dependent, and the phenomenon of wall jet arises due to the axially dependent velocity component, mainly because of the axial pressure gradient. Using the appropriate variables, the dimensionless ordinary differential equations are developed by governing partial differential equations. To solve them, we implemented a built-in function in MATLAB, namely, bvp5c. It is perceived that the peak of the wall jet rises by enhancing the values of Reynolds number Re; however, the azimuthal velocity distribution reduces. The impact of pertinent parameters on thermal and solutal transport in viscous fluid flow is also studied. In general, it is seen that they reduce the heat and mass transfer rates according to their physical influence on the flow. Moreover, the axial and swirl wall-shear stresses are plotted as a function of Re over the range of 0.01 ≤ Re ≤ 104.