Partial slip effects on the peristaltic motion of an upper-convected Maxwell fluid through an irregular channel

A theoretical investigation was carried out in this paper by taking the partial slip result in an irregular wavy channel for the incompressible upper-convected Maxwell fluid. Due to peristaltic motion, asymmetric waves with different amplitudes are produced. This flow is driven in an irregular channel due to the pressure gradient, where the perturbation technique applied to tackle the stream function and the pressure gradient. A numerical integration technique was used to find out the different expressions of the frictional rise per wavelength and pressure rise per wavelength and presented their graphs. The graphical results for the partial slip parameter, small wave number, phase difference, Reynolds number, Weissenberg number, wave amplitudes a and b, and channel width d are included. The pressure gradient is an increasing function of the wave number, but the slip parameter is vice versa. The velocity profile u is increased by a small increase in the wave number while it is decreased by a rise in the slip parameter. The frictional forces have the same behavior for the lower and upper wall. According to the slip effects, the bolus has improved behavior. Moreover, the relaxation parameter enhanced the strength of the bolus.