ENTROPY PRODUCTION IN VISCOELASTIC FLUID FLOWS IN A ROTATING FRAME WITH HEAT DISSIPATION USING OPTIMAL HOMOTOPY ANALYSIS METHOD (OHAM)

Abstract

The exploration of rotational dynamics within fluid motion holds profound importance across diverse fields such as industrial chemical processes, advancements in food processing technologies, the optimization of turbomachinery, efficient cooling techniques for computer storage drives and various other applications. This study assesses entropy creation in MHD viscoelastic flow using the intriguing Walters-B and Jeffery model over a linearly deforming plate within a rotating frame of reference. The inclusion of Coriolis and centrifugal forces due to the rotating frame introduces additional terms in the momentum balance equation. Furthermore, the energy equation, which includes terms for viscous dissipation and Joule heating, is examined. The representative non-linear problem is analyzed through optimal homotopy analysis method (OHAM) available within the “MATHEMATICA” package “BVPh 2.0”. This routine is implemented to retrieve the optimal auxiliary parameters and corresponding averaged squared residuals for varying homotopy approximations. The drag on the plate and the surface cooling rate are assessed under the rotating fluid assumption, with varying material parameter of the Walters B and Jeffery model. Additionally, the impact of heat dissipation on the overall heat transport phenomenon is thoroughly examined.