Peristaltic Transport of a Rabinowitsch Fluid with Suction and Injection Through a Permeable Wall Under Slip Conditions: Applications in Biomedical and Industrial Systems

Efficient peristaltic transport of non-Newtonian fluids plays a vital role in biomedical, industrial, and microfluidic applications such as drug delivery, dialysis, polymer processing, and filtration. This study investigates the peristaltic motion of a Rabinowitsch fluid through a permeable channel, focusing on the combined effects of suction/injection, wall slip, and permeability on pressure rise, velocity distribution, and frictional forces. Analytical solutions are derived using lubrication theory under the assumptions of long wavelength and low Reynolds number, while MATLAB simulations are employed to examine the influence of key parameters. The results show that suction/injection enhances pressure rise, slip parameters (β1 , β2 ) distinctly regulate flow resistance and velocity distribution, and higher wall permeability induces nonlinear velocity growth. These findings offer valuable insights for optimizing fluid transport and improving energy efficiency in biomedical and industrial systems.