Hydromagnetic Peristaltic Propulsion of a Pseudoplastic Fluid Through a Porous Symmetric Channel With Wall Properties

ABSTRACT Simulations of biological fluids aid in understanding processes like peristalsis and improve medical interventions like blood flow management during surgery. This investigation explores the use of pseudoplastic fluid to improve friction management and extends the lifespan of mechanical components, while also facilitating smooth material flow and maintaining consistent product quality in food processing. The unique rheological smooth and controlled flow has several applications in topical gels, blood mimicry, cosmetic lotions, and paint coating. The relevant peristaltic propulsion investigation is concerned with the hydromagnetic pseudoplastic fluid flow within a symmetric sinusoidal porous channel, considering the wall properties and heat transfer. A regular perturbation scheme is used to solve the nonlinear equations with no‐slip wavy boundary conditions, long wavelength, and low Reynolds number assumptions. The analytical solutions for the flow, thermal fields, and the propagating of thermal transfer coefficient across the walls are derived. The insights of the significant physical parameters on the flow fields are effectively examined and analyzed graphically. The Darcy parameter accelerates the rheological behavior of pseudoplastic flow characteristics in the flow and heat transfer fields, such as velocity, temperature, and stream function, while magnetic force, acting as a body force, decelerates the pseudoplastic fluid flow, causing the fluid to become more rigid. Furthermore, the trapping phenomenon is obtained with the help of Mathematica software, revealing that bolus circulation increases with higher membrane tension and mass characterization, but reduces due to higher viscous damping.