INSIGHT INTO THERMAL DIFFUSION OF TWO IMMISCIBLE NON-NEWTONIAN FLUIDS THROUGH A DIVERGENT CHANNEL WITH PERISTALSIS

Abstract

This work aims to investigate the impacts of heat and mass transfer (HMT) on the peristaltic movement in a divergent/convergent channel containing two immiscible non-Newtonian fluids. The study addresses bi-viscosity and Jeffrey prototypes that flow across porous media. The motivation for this model is its usefulness in some biological applications. Correspondingly, the mathematical model is crucial for optimizing processes in biomedical engineering, petroleum recovery, chemical processing, food processing, and microfluidics. Many actual characteristics have been contained in the structure such as temperature supply, nonlinear thermal radiation, oblique magnetic force, Ohm’s dissipation, thermal diffusion, and non-Newtonian dispersion. The low Reynolds number and long wavelength approach besides the non-dimensional analysis are demonstrated to simplify the governing nonlinear partial differential equations. An analysis is conducted on the system configuration using the homotopy perturbation method. Accordingly, the distributions of axial velocity and HMT under the effect of the operative physical properties are described both analytically and numerically. There is complementarity and connection between the two-phase solutions, which is consistent with the immiscibility of the two liquids. The heat transmission improves with almost all the related parameters, while the inverse occurs with mass transfer.