On modified Darcy's law utilization in peristalsis of Sisko fluid

- Peristalsis of Sisko fluid has been formulated.
- Magnetohydrodynamic effects are present.
- Channel walls are compliant and curved.
- Modified Darcy's law approach is accounted.
- The problem is executed numerically.

This article intends to relate the significance of porous medium by modified Darcy's law in peristaltic flow of Sisko fluid. Curvature in modeling is considered. Such effects have particular significance in ureteral peristalsis and arterial blood flows. Radial magnetic field is applied to regulate the flow. Mathematical description of problem highlights the viscous dissipation and chemical reaction characteristics. The curved boundaries of channel are subject to wall's slip and compliant properties. The resulting coupled system has been executed numerically to plot various effects graphically. The drawn results approved decreasing response of magnetic field and increasing impact of Darcy number on fluid velocity and temperature.