title: Peristaltic Creeping Flow of Power Law Physiological Fluids through a Nonuniform Channel with Slip Effect.
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.
authors.affiliation: Department of Applied Mathematics, Echelon Institute of Technology, Faridabad 121002, India.
authors.forename: M K
authors.initials: MK
authors.lastname: Chaube
authors.affiliation: Department of Mechanical Engineering, Manipal University Jaipur, Rajasthan 303007, India.
authors.forename: D
authors.initials: D
authors.lastname: Tripathi
authors.affiliation: GORT Engovation-Aerospace and Biomechanics, Southmere Avenue, Bradford BD7 3NU, UK.
authors.forename: O Anwar
authors.initials: OA
authors.lastname: Bég
authors.affiliation: Department of Mathematics, Indian Institute of Technology, Roorkee 247667, India.
authors.forename: Shashi
authors.initials: S
authors.lastname: Sharma
authors.affiliation: Department of Physics, National Institute of Technology Delhi, Delhi 110040, India.
authors.forename: V S
authors.initials: VS
authors.lastname: Pandey