Abstract
The problem of peristaltic transport of an incompressible non-Newtonian fluid in a tapered a symmetric channel through a porous medium is presented under long-wave length and low Reynolds number assumptions, the fluid is considered to be Walters B fluid and electrically conducting by a transverse magnetic field.The tapered asymmetric channel in the flow induced by talking peristaltic wave imposed on the non-uniform boundary walls to possess different amplitudes and phases. Series solutions for stream function, axial velocity and pressure gradient are given using regular perturbation technique. Numerical computations have been performed for the pressure rise per wave length. The effect of the physical parameters of the problem on these distributions are discussed and illustrated graphically through a set of figures.
Highlights
Peristaltic transport is a form of material transport included by a progressive wave of contraction or expansion along the length of distensible tube mixing and transporting the fluid in the direction of the wave propagation
Peristaltic motion of micro polar fluid in circular cylindrical tubes with wall properties is discussed by muth et al [17], Hayat et al.[5, 6] examined the MHD peristaltic flow of Jeffery and Johnson –Segalman fluids with compliant walls.srinivas and kothandapani [23] analyzed the heat and mass transfer effects on MHD peristaltic flow of Newtonian fluid in a porous channel with compliant walls
We investigated the peristaltic transport of walters-B fluid under the effect of magnetic field through a porous medium in a tapered a symmetric channel
Summary
Peristaltic transport is a form of material transport included by a progressive wave of contraction or expansion along the length of distensible tube mixing and transporting the fluid in the direction of the wave propagation. The mechanism of peristaltic transport has attracted the attention of many investigators since its investigation by Latham [13], Burns and pareks[2], shapero et all.[22], Fung and yih [3], Takabatake and Ayukawa [25], Akram and Nedeem [1], mekheimer and Elkot [16], Mekheimor and al –arabi[15], mekheimer[14], Nadeamand akbar [19], Kothandapaniet al.[10], of peristaltic flow for different fluids have been reported under various conditions with reference to physiological and mechanical situations Most of these investigations are confined to the peristaltic flow only in a symmetric channel or tube . The influence of the physical parameters of the problem are discussed and illustrated graphically
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