NONLINEAR PERISTALTIC TRANSPORT OF A WILLIAMSON FLUID IN AN INCLINED ASYMMETRIC CHANNEL INFLUENCED BY HALL CURRENT AND POROUS MEDIUM

This research examines the peristaltic transport of a non-Newtonian, viscous, incompressible, electrically conducting Williamson fluid through an inclined asymmetric channel, considering Hall currents and porous medium effects. The Williamson fluid model is important for understanding materials in various industries and scientific fields. It can show how viscoelastic fluids behave in applications like polymer manufacturing, food rheology, biomedical engineering, and geophysics. The governing equations are derived and simplified assuming long wavelength and low Reynolds number. The perturbation technique is used to obtain solutions for velocity, pressure gradient, volume flow rate, and pressure rise up to second order. Graphs are used to show the influence of different factors on flow characteristics. Results reveal that velocity decreases near the channel walls and increases towards the center with higher porosity. Increasing Hall or porosity parameters lowers the pressure gradient; moreover, it decreases the pressure rise in the retrograde region and increases it in the co-pumping region.