Assessing entropy production in a rotating flow of Jeffrey fluid subjected to frictional heating using two computational methods

• Rotational effects on boundary layers flow of Jeffrey fluid over a deformable plate is investigated. • Entropy generation and bejan number analysis is also performed. • Heat transfer analysis is done in presence of viscous dissipation. • Coriolis force incorporated into momentum balance equation. • Both Numerical (MATLAB's bvp5c) and analytical (Optimal Homotopy Approach via MATHEMATICA's BVPh 2.0) solutions are obtained. The study of rotational effects in boundary layer flows holds significant importance across a range of disciplines, including optimizing the efficiency of rotating blades in turbines and compressors, understanding the dynamics of plate tectonics and analyzing atmospheric and oceanic circulations, among others. This article focuses on conducting an irreversibility analysis of fluid flow across a deformable plate in a rotating Jeffrey fluid. The problem formulation incorporates the effects of Coriolis force in the momentum balance equation. By applying similarity transformations, the problem is reduced to a coupled nonlinear differential system, which is then solved both numerically and analytically. For the numerical solution, the established MATLAB routine bvp5c is utilized, while the optimal homotopy approach integrated into MATHEMATICA's BVPh 2.0 package is employed to obtain analytical results. Both solution methods produce comparable numerical results across a wide range of controlling parameters. Additionally, the reliability of the analytical results is demonstrated by the observation that the overall squared residual diminishes as the order of homotopy approximations rises. The force applied to the surface and the rate of cooling are influenced by the fluid's rotation rate and viscoelastic properties, which are critically assessed in this study. Furthermore, for various relaxation and retardation times, as well as fluid rotation rates, profiles of volumetric entropy production rates are computed. It is observed that the velocity profiles become progressively thicker with an increase in the fluid’s retardation time, whereas the opposite effect is observed as the ratio of relaxation time to retardation time increases. It is also noticed that a larger temperature difference leads to a higher volumetric entropy generation rate, whereas the entropy production rate significantly decreases with increasing retardation time.