Understanding Prandtl fluid flow in conduits with slip boundary conditions: Implications for engineering and physiology

Abstract

In this analysis, rotation, magnetic fields, and Hall current effects are considered as they pertain to the flow of a Prandtl fluid via a conduit with slip boundary conditions. Closed-form solutions for velocity and temperature are derived using a long-wavelength approximation and conditions of low Reynolds numbers in the analysis. The results show that the pressure gradient rises for larger values of the first-order slip parameter and the second-order slip parameter but falls for larger values of the Prandtl fluid parameter. Furthermore, in the free, peristaltic, and retrograde pumping regimes, pumping rates increase with an increase in the slip parameters, while pumping rates drop in the back-pumping zone. Although fluid temperature drops with an increase in the Prandtl fluid parameter, it is still affected by the Prandtl fluid parameter and the slip parameters. The ramifications of these findings for developing pumping systems and gastrointestinal health are substantial. They allow the body's fluids to flow smoothly, which improves the efficiency of functions, including oxygen delivery, waste removal, and nutrient delivery.