Magnetic field-induced modulations in peristaltic flow and heat/mass transfer of Sisko fluids in an inclined channel

Peristalsis is a wave-like, coordinated contraction of smooth muscles that transports contents through tubular structures in the body, including the gastrointestinal tract. It involves rhythmic contractions that propel food, liquid, or other substances forward, facilitating efficient transport and digestion. This study examines slip boundary conditions to investigate the impact of the magnetic field on the peristaltic motion of a Sisko fluid within a uniform channel. Non-linear governing equations are solved using a semi-analytical perturbation technique, assuming long wavelengths and a low Reynolds number. The parametric analysis on heat and mass transport is represented graphically using MATLAB R2023a software. The study comprehensively examines the influence of physiological parameters on Skin friction coefficient, Nusselt number, and Sherwood number, emphasising the use of a magnetic field to regulate fluid flow. Additionally, when evaluating the impact of heat transmission, it is crucial to consider the variable properties of the fluid. The study indicates that the velocity and temperature profiles for Newtonian and Sisko fluid models are enhanced by variable viscosity; however, both models experience a reduction in temperature profile with variable thermal conductivity. Furthermore, it was noted that the temperature and velocity of the fluid decrease as Sisko fluid properties increase. Recognising the interplay among these elements is essential for enhancing the control, application, and efficiency of fluid flow across various domains.