ABSTRACT In this work, the unsteady heat and mass transport properties of a Casson fluid passing over an oscillating vertical cylinder embedded in a Darcy–Forchheimer porous medium are examined. The growing industrial application of oscillatory cylindrical systems in drilling operations, increased oil recovery, biochemical reactors, and polymer processing, where non‐Newtonian fluids interact with porous materials under periodic motion is the motivation behind this work. In order to effectively represent transport phenomena found in petroleum reservoirs, chemical mixing towers, food processing facilities, and heat exchange devices, this model integrates Soret and Dufour effects, viscous dissipation, chemical reaction, and heat generation/absorption. A dimensional partial differential system of equations is created by formulating the governing equations of momentum, energy, and concentration. The suitable transformations are then applied in the governing model to obtain the dimensionless form in terms of partial differential equations. To solve the equations numerically, a reliable and effective Crank‐Nicolson finite difference technique is implemented. The understanding of how to regulate heat and mass flow in porous geometries is made easier by this work. The effects of significant parameters on velocity, temperature, and concentration are investigated numerically and graphically.
Abdulrahman M. Alansari (Mon,) studied this question.