Thermofluidics of Poiseuille flow of Williamson fluid in a channel with porous insert: Differential transform method

Abstract

This research explores the differential Transform Method to investigate BVP describing thermofluidics of Poiseuille flow of Williamson fluid within a channel equipped with a porous insert. The flow in the porous region follows the Darcy-Brinkman Forchheimer model. The study focuses on obtaining a comprehensive dataset encompassing skin friction, Nusselt number, and entropy profiles. The governing non-linear equations and matching conditions are systematically addressed using DTM, showcasing its efficacy as a powerful analytical tool. This research not only contributes valuable insights into the behavior of Williamson fluid in a porous environment but also establishes the DTM as a robust approach for unraveling intricacies in such complex thermofluidic systems. The velocity, temperature, entropy, and skin friction Nusselt number are computed through DTM and are displayed in tabular and pictorial form to conduct the parametric study. The obtained results provide a foundation for further advancements in optimizing heat transfer processes in channels with porous inserts.