Effects of thermal and momentum slip on magnetized viscoplastic fluids: A study using non-Darcy drag and Rosseland approximation
Noureddine Elboughdiri, Khurram Javid, M. M. Bhatti, Shaimaa F. Ramadan, Kh. S. Mekheimer
Abstract
This study investigates the application of boundary layer phenomena and Casson fluid models in chemical engineering and petroleum product filtration. It examines viscoplastic liquid’s boundary layer rheology on an isothermal sphere’s outer surface, influenced by magnetic force, momentum, and thermal slips. The simulation uses a non-Darcy drag force model to simulate forces from second-order Forchheimer drag and linear porous medium drag. The study also uses the Rosseland diffusion algebraic approximation for thermal radiation effects. The study’s importance lies in its application in various chemical engineering domains. Mathematical modeling involves transforming dimensional equations into nondimensional flow variables, using the NDSolve technique to numerically solve reduced coupled boundary layer (BL) equations for energy and momentum. Graphs and tables are used to analyze the impact of rheological variables on thermo-fluid characteristics and engineering properties. Elevations in the radiation parameter greatly amplify the temperature distribution and velocity profile in the boundary layer. Nevertheless, changes in the viscoplastic Casson parameter affect the distribution of temperature and velocity. Significantly increasing the Prandtl number and the heat production parameter leads to a substantial rise in both engineering features: the skin friction and the Nusselt number.