ANALYSIS OF PERISTALTIC TRANSPORT OFTHIRD-GRADE FLUID WITH SUCTION AND INJECTIONUNDER A SINGLE SLIP CONDITION: APPLICATION FORBIOMEDICAL AND INDUSTRIAL SYSTEMS

Abstract

This study analyzes the peristaltic transport of an incompressible third-grade fluid in a channel with a single slip boundary condition under the assumptions of long wavelength and low Reynolds number. The nonlinear governing equations are simplified and solved analytically using a perturbation method, with numerical validation performed for stronger nonlinear regimes. The influence of key physical parameters including slip coefficient, amplitude ratio, permeability parameter, and nonNewtonian parameter is examined through velocity, pressure difference, frictional force, and streamline patterns. The results show that increasing the non-Newtonian parameter Γ, β enhances the velocity, larger amplitude ratio ϕ promote flow by reducing velocity requirements. In  ontrast, increasing permeability parameter k suppresses the velocity and weakens trapping due to cross-wall transport. Pressure drop decreases with increasing β and increases with k and Γ. Skin friction reduces with higher β, ϕ, and k, but increases with Γ. Streamline analysis reveals that bolus trapping becomes stronger for β and ϕ, and weaker for k and Γ