Entropy generation analysis in peristaltic transport of non-miscible micropolar and couple stress fluids across a rotating porous channel with slip effects

Nowadays, the peristaltic transport of complex non-Newtonian fluids through a rotating porous channel plays a crucial role in numerous physiological, biomedical, and industrial processes. It is important to note that the extensive research has been conducted on the peristaltic flows of various fluids through porous rotating channels. However, to the best of the authors’ knowledge, studies on peristaltic flows of immiscible non-Newtonian fluids through rotating porous channels under magnetic field and thermal radiation effects have not been undertaken yet. The objective of this work is to investigate the hydrodynamic and thermodynamic behavior of the immiscible micropolar and couple stress fluids flowing through a rotating porous channel, and to quantify the associated irreversibility through entropy generation and Bejan number analysis. In the present model, the lower wall remains stationary, while both the upper wall and the fluid interface exhibit sinusoidal waveforms and propagate in same phase with each other, ensuring synchronized motion of the fluids throughout the system. The governing nonlinear equations for momentum and energy are formulated and solved analytically under the assumptions of long wavelength and low Reynolds number approximation. In this work, the authors examined the effects of key physical parameters, including the inverse permeability parameter, Hartmann number, rotation parameter, velocity slip, and thermal slip on velocity, temperature, entropy generation, Bejan number, skin friction coefficient, and Nusselt number. The results reveal that the entropy generation number decreases near the boundaries of the channel on increasing the inverse-permeability parameter and Hartmann number. The findings of the present model may be useful in the design of biomedical pumping devices, targeted drug-delivery systems, physiological transport mechanisms, etc.