The Wall Features of a Non-Uniform Tube affect the Peristaltic Motion of the Rabinowitsch Fluid Model

Abstract

The process known as peristaltic transfer is essential to the functioning of both physiological processes and peristaltic pumps. It has become abundantly evident that physiological fluids do not behave in the same way that Newtonian fluids do as a result of the progression of medical research. Therefore, selecting a suitable fluid model is of utmost importance if one wants to gain an understanding of the behaviour and characteristics of physiological fluids throughout the process of peristalsis. The Rabinowitsch fluid model with wall properties was utilised in this investigation to investigate the characteristics of peristaltic transport via a non-uniform tube while the tube was carrying a non-Newtonian fluid. A theoretical analysis that uses an approximation with a long wavelength and a low Reynolds number has been provided. In order to investigate the properties of the stream function, the velocity distributions and temperature distributions have been measured. The relevant numerical results to the effects of variables such as the Brickman number Br, the rigidity parameter ,, the stiffness parameter , and the viscous damping force parameter   are all connected to the underlying flow problem, and we have calculated these results. It has been demonstrated that non-Newtonian fluids and uneven tube walls are both capable of dramatically modifying these features.