Rotation and Porous Medium Impact on MHD Peristaltic Flow of Pseudoplastic Fluid through a Waveform Channel

In this paper, we undertake an in-depth examination of peristaltic transport, specifically addressing the unique characteristics of non-Newtonian pseudoplastic fluid within a waveform canal encompasses the impact of rotation, magnetic forces, and the presence of a porous medium. This work distinguishes itself by delving into the nuanced interactions of these effects, offering a fresh perspective on the complex dynamics involved in peristaltic transport through these types of channels. A mathematically formulation for the fundamental equations, the continuity and motion equations are constructed and subsequently converted into dimensionless non-linear ordinary differential equations through appropriate transformations, with a focus on low Reynold’s number while long wavelength approximations. Employing perturbation techniques w.r.to the pseudo plastic fluid parameter, an analytical solution for the stream function derived. The graphical analysis of the velocity, a pressure gradient, the pressure rising, also trapping phenomenon incorporates the influence of rotation parameter, Hartman number, permeability parameter, and other emerging factors were detailed using the Mathematica package.