Abstract
A mathematical study on creeping flow of non-Newtonian fluids (power law model) through a nonuniform peristaltic channel, in which amplitude is varying across axial displacement, is presented, with slip effects included. The governing equations are simplified by employing the long wavelength and low Reynolds number approximations. The expressions for axial velocity, stream function, pressure gradient, and pressure difference are obtained. Computational and numerical results for velocity profile, pressure gradient, and trapping under the effects of slip parameter, fluid behavior index, angle between the walls, and wave number are discussed with the help of Mathematica graphs. The present model is applicable to study the behavior of intestinal flow (chyme movement from small intestine to large intestine). It is also relevant to simulations of biomimetic pumps conveying hazardous materials, polymers, and so forth.
Highlights
The transportation of physiological fluids due to continuous wavelike muscle contraction and relaxation of physiological vessels such as the oesophagus, stomach, intestines, ureter and blood vessels, and other hollow tubes is known as peristalsis [1]
It is found that physiological organs are generally nonuniform ducts [29, 30]. Remaining cognizant of these facts, in this paper we investigate peristaltic transport of power law fluid in a nonuniform channel under a slip boundary condition
We consider the peristaltic flow of power law fluid in a nonuniform channel under a hydrodynamic slip boundary condition
Summary
The transportation of physiological fluids due to continuous wavelike muscle contraction and relaxation of physiological vessels such as the oesophagus, stomach, intestines, ureter and blood vessels (arteries, veins, capillaries, etc.), and other hollow tubes is known as peristalsis [1]. A simple yet versatile rheological model is the Ostwald-DeWaele power law model which successfully simulates viscosity, shear thickening, and shear thinning effects Representative studies deploying this model in peristaltic fluid dynamics include [5,6,7,8,9] wherein the effect of fluid behavior index on peristaltic pumping has been examined. Tripathi et al [26] studied slip effects in fractional viscoelastic Oldroyd gastric flows using a homotopy method, showing that pressure is decreased with increasing slip It has been pointed out by Charm and Kurland [27, 28] that the flow behavior of blood in vessels of small diameter (0.02 cm) and at low shear rates (
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
