Effects of heat generation/absorption in the Jeffrey fluid past a permeable stretching/shrinking disc

Abstract

This theoretical study expounds dual solutions of the Jeffrey model fluid flow and heat transfer around the stagnation-point regime along a radially stretching/shrinking disc. The present work also attempts to examine the effect of heat generation/absorption towards the rate of heat transfer in a Jeffrey fluid. The similarity transformation helps to reduce the complicated partial differential equations into a system of ordinary differential equations so that the system can be solved numerically via the bvp4c function in MATLAB. The dual solutions are observable within a certain range of the shrinking parameter. The heat generation or absorption in the fluid flow regime does not delay flow separations. Further, a stability analysis is performed to determine the stability of the dual solutions. The first solution is claimed to be a stable solution, and the second solution is confirmed as an unstable solution.