This paper discusses the influence of an endoscope on the peristaltic flow of a couple stress fluid in an annulus under a zero Reynolds number and long wavelength approximation. The inner tube is uniform, rigid, while the outer tube has a sinusoidal wave traveling down its wall. Analytical expressions for the axial velocity, stream function and axial pressure gradient are established. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Numerical calculations are carried out for the pressure rise, frictional forces and trapping. The features of the flow characteristics are analyzed by plotting graphs and discussed in detail.

Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope

Non-linear peristaltic transport of a second-order fluid through a porous medium

Effects of heat and mass transfer on peristaltic flow in a non-uniform rectangular duct

Purpose – The purpose of this paper is to theoretically study the problem of the peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct under the effects of Hall and ion slip. An incompressible and magnetohydrodynamics fluid is also taken into account. The governing equations are modelled under the constraints of low Reynolds number and long wave length. Recent development in biomedical engineering has enabled the use of the periastic flow in modern drug delivery systems with great utility. Design/methodology/approach – Numerical integration is used to analyse the novel features of volumetric flow rate, average volume flow rate, instantaneous flux and the pressure gradient. The impact of physical parameters is depicted with the help of graphs. The trapping phenomenon is presented through stream lines. Findings – The results of Newtonian fluid model can be obtained by taking out the effects of Jeffrey parameter from this model. No-slip case is a special case of the present work. The results ob...

Effects of hall and ion slip on MHD peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct

Effects of an endoscope and magnetic field on the peristalsis involving Jeffrey fluid

In order to determine the characteristics of the peristaltic transport of magnetohydrodynamic gravity flow, the motion of a hydromagnetic (electrically conducting), viscous and incompressible fluid in an inclined planar channel having electrically insulated walls that are transversely displaced by an infinite, harmonic traveling wave of large wavelength was analyzed using a perturbation expansion in terms of a variant wave number. We obtain explicit form for the velocity field, a relation between the pressure rise and flow rate, in terms of Reynolds number, wave number, Hartmann number, Froud number, inclined angle, and the occlusion. The effects of all parameters of the problem are discussed numerically and explained graphically. ﺔــﺻﻼﺨﻟا

S. Mekheimer

Papers

Non-linear peristaltic transport of magnetohydrodynamic flow in an inclined planar channel