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Updated: Mar 22, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Peristaltic Creeping Flow of Power Law Physiological Fluids through a Nonuniform Channel with Slip Effect
M K Chaube1, D Tripathi2, O Anwar Bég3
1Department of Applied Mathematics, Echelon Institute of Technology, Faridabad 121002, India.
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.
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