Abstract
In the present article, we tried to develop the exact solutions for the peristaltic flow of Jeffrey fluid model in a cross section of three dimensional rectangular channel having slip at the peristaltic boundaries. Equation of motion and boundary conditions are made dimensionless by introducing some suitable nondimensional parameters. The flow is considered under the approximations of low Reynolds number and long wavelength. Exact solution of the obtained linear boundary value problem is evaluated. However, the expression for pressure rise is calculated numerically with the help of numerical integration. All pertinent parameters are discussed through graphs of pressure rise, pressure gradient, velocity and stream functions. It is found that presence of slip at the walls reduces the flow velocity but increases the peristaltic pumping characteristics.
Highlights
The movement with in the living organism’s body are described by muscular movement stimulated by neurons
Numerical variation of pressure rise and velocity profile is described through Tables 1 and
This paper gives an account of peristaltic flow in a duct for a jeffrey fluid with partial slip effects
Summary
The movement with in the living organism’s body are described by muscular movement stimulated by neurons. In the human body, the peristalsis motion is the example of an involuntary wavelike contractions and relaxation of smooth muscles. It occurs in transport tubes like oesophagus, urine transport from kidney or some blood vessels. The bolus and initiate inhibitory neurons that relaxes smooth muscles below the bolus [1] These waves may have long or short wavelengths. [17] studies heat transfer in a peristaltic flow of MHD fluid with partial slip. The present work is concentrated to examine the slip effects in peristaltic flow of a Jeffrey fluid in a rectangular duct. Three dimensional analysis is taken into account for velocity profile
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