Heat Transfer Analysis on Peristaltic Transport of Sisko Fluid in an Inclined Uniform Channel

Abstract

Peristaltic flow is a fundamental method of fluid conveyance in engineering, medicine, and the nuclear industry. The peristaltic mechanism is applied in designing blood pump machines, dialysis machines, and other medical devices. The current mathematical model is developed to investigate the peristaltic mechanism of Sisko fluid under the influence of heat transfer by considering variable viscosity, slip effects, variable thermal conductivity, and wall properties. Long wavelength and small Reynolds number approximations generate the nonlinear governing equations. The regular perturbation method is utilised to solve these equations. In contrast, the closed-form solution is obtained for the stream function for different values of the fluid behaviour index. The impact of several parameters on the relevant physiological factors is graphically represented using MATLAB. The results reveal that velocity and thermal slip parameters greatly impact heat transfer. The bolus volume grows as the velocity slip parameter increases. The coefficient of pseudo-plasticity plays a prominent role in the study for different values of fluid behaviour index.