Entropy generation and computational study of magneto-micropolar fluid along a permeable Darcy-Forchheimer channel with thermal radiation: Chebyshev collocation technique

Abstract

The current investigation examines the effect of thermal radiation on the magneto-micropolar fluid flow across a permeable Darcy-Forchheimer microchannel, taking into account the viscous heating effect with boundary wall conditions. The reduced nondimensionalized nonlinear governing equation is numerically coded and resolved to obtain solutions for the physical parameters by adopting the Chebyshev collocation technique. The flow characteristics depicted via the physical parameters were established through tabular and graphical forms. Analyzed are the impacts of these parameters on entropy generation, skin friction, and Nusselt and Bejan numbers. It is revealed from the investigation that increments in micropolar parameters accrue to higher velocity and temperature profiles, while the microrotation profile declines. Similarly, a rise in temperature is noticed for every expansion in the Darcy-Forchheimer, thermal radiative, and Eckert number terms. It is inferred from the study that the temperature can be enhanced as both Darcy-Forchheimer and thermal radiative parameters advance. The findings highlight thermodynamic optimization as well as contribute to the effective design of thermal systems in industries.