Influence of Second-Order Partial Slip Conditions on Peristaltic Transport of MHD Pseudoplastic Fluid with Suction and Injection

This article deals with the influence of second order partial slip conditions on peristaltic transport of MHD pseudoplastic fluid with suction and injection. The analytical solution for the frictional force and pressure rate has been evaluated by the techniques of perturbation under the assumption of long wavelength and low Reynolds number. The result of different physical parameters on pressure rate and frictional force is obtained graphically by using MATHEMATICA software. We note that the higher pressure against acts as a pump is further enhanced by increasing magnetic parameter M. As the perturbation parameter xi increases, the pumping rate tends to increase as well. The velocity profile is decreased by increasing the values of the partial slip parameter beta(1) and the complete slip parameter beta(2). The pseudoplastic fluid responds well to an increase in the suction and injection parameter k, which tends to improve the pressure gradient throughout the entire region.

Automated summary

This article discusses the impact of second order partial slip conditions on the peristaltic transport of MHD pseudoplastic fluid with suction and injection. The analytical solution for frictional force and pressure rate is obtained through perturbation techniques, assuming long wavelengths and low Reynolds numbers. The effects of different physical parameters on pressure rate and frictional force are illustrated graphically using MATHEMATICA software. The study reveals that increasing the magnetic parameter M enhances the resistance against pressure and increasing the perturbation parameter ξ tends to increase the pumping rate. Additionally, the velocity profile decreases with increasing values of the partial slip parameter β(1) and the complete slip parameter β(2). The pseudoplastic fluid responds well to an increase in the suction and injection parameter k, leading to an improvement in pressure gradient throughout the region.