Slip Effects on a Ree-Eyring Liquid Peristaltic Flow Towards an Inclined Channel and Variable Liquid Properties

Abstract

The current paper aims to model the flow of blood in narrow arteries by taking non-Newtonian Ree-Eyring fluid. The impact of wall properties, slip, mass, and heat transport are considered. In earlier studies, the viscosity of blood was considered a constant parameter. However, many researchers have claimed that the blood’s viscosity in the peripheral region is less than that of the core region. Thus, the present model incorporates the variation in thermal conductivity and viscosity, which takes a vital character in scrutinizing blood flow in narrow arteries. The mathematical model is developed on low Reynold’s number approximation and long wavelength, leading to the governing non-linear equations representing the flow phenomena. The governing non-linear partial differential equations are resolved by utilizing the series solution method (perturbation technique). MATLAB programming has been used to plot the pictorial representation of all the parameters through the flow quantities. The investigation shows that the variable velocity slip parameter and viscosity develops the velocity profiles. Further, the liquid parameter can be used to control the dimension of the trapped bolus. Moreover, the obtained outcomes aid in recognizing the flow of blood in micro arteries.