scholarly journals Nonlinear peristaltic transport of MHD flow through a porous medium

2003 ◽  
Vol 2003 (26) ◽  
pp. 1663-1682 ◽  
Author(s):  
Kh. S. Mekheimer ◽  
T. H. Al-Arabi
Keyword(s):  
Porous Medium ◽  
Perturbation Expansion ◽  
Pressure Rise ◽  
Mhd Flow ◽  
Travelling Wave ◽  
Peristaltic Transport ◽  
Wave Number ◽  
Electrically Conducting ◽  
Homogeneous Porous Medium ◽  
Flow Through

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

scholarly journals Effect of Rotation and Magnetic Field through Porous Medium on Peristaltic Transport of a Jeffrey Fluid in Tube

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
S. R. Mahmoud
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Analytic Solution ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Jeffrey Fluid ◽  
Axial Pressure ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Axial Pressure Gradient

This paper is concerned with the analysis of peristaltic motion of a Jeffrey fluid in a tube with sinusoidal wave travelling down its wall. The effect of rotation, porous medium, and magnetic field on peristaltic transport of a Jeffrey fluid in tube is studied. The fluid is electrically conducting in the presence of rotation and a uniform magnetic field. An analytic solution is carried out for long wavelength, axial pressure gradient, and low Reynolds number considerations. The results for pressure rise and frictional force per wavelength were obtained, evaluated numerically, and discussed briefly.

scholarly journals Conducting dusty fluid flow through a constriction in a porous medium

2016 ◽  
Vol 5 (1) ◽  
pp. 29
Author(s):  
Madhura K R ◽  
Uma M S
Keyword(s):  
Porous Medium ◽  
Hartmann Number ◽  
Equations Of Motion ◽  
Fluid Phase ◽  
Dust Particles ◽  
Governing Equations ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Flow Through ◽  
Constricted Channel

<p><span lang="EN-IN">The flow of an unsteady incompressible electrically conducting fluid with uniform distribution of dust particles in a constricted channel has been studied. The medium is assumed to be porous in nature. The governing equations of motion are treated analytically and the expressions are obtained by using variable separable and Laplace transform techniques. The influence of the dust particles on the velocity distributions of the fluid are investigated for various cases and the results are illustrated by varying parameters like Hartmann number, deposition thickness on the walls of the cylinder and the permeability of the porous medium on the velocity of dust and fluid phase.</span></p>

scholarly journals Numerical Study of MHD Flow and Heat Transfer Through Porous Medium Between Two Parallel Plates With Hall and Ion Slip Effects

2020 ◽  
Vol 7 ◽  
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Numerical Study ◽  
Mhd Flow ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Slip Effects ◽  
Ion Slip ◽  
Temperature And Pressure

This paper studies the effects of Hall and ion slip on two dimensional incompressible flow and heat transfer of an electrically conducting viscous fluid in a porous medium between two parallel plates, generated due to periodic suction and injection at the plates. The flow field, temperature and pressure are assumed to be periodic functions in ti e ω and the plates are kept at different but constant temperatures. A numerical solution for the governing nonlinear ordinary differential equations is obtained using quasilinearization method. The graphs for velocity, temperature distribution and skin friction are presented for different values of the fluid and geometric parameters.

scholarly journals Peristaltic viscoelastic fluid motion in a tube

2001 ◽  
Vol 26 (1) ◽  
pp. 21-34 ◽  
Author(s):  
Elsayed F. Elshehawey ◽  
Ayman M. F. Sobh
Keyword(s):  
Amplitude Ratio ◽  
Fluid Motion ◽  
Perturbation Expansion ◽  
Pressure Rise ◽  
Weissenberg Number ◽  
Wave Number ◽  
Physical Parameters ◽  
Oldroyd Fluid ◽  
Pumping Rate ◽  
Axisymmetric Tube

Peristaltic motion of viscoelastic incompressible fluid in an axisymmetric tube with a sinusoidal wave is studied theoretically in the case that the radius of the tube is small relative to the wavelength. Oldroyd flow has been considered in this study and the problem is formulated and analyzed using a perturbation expansion in terms of the variation of the wave number. This analysis can model the chyme movement in the small intestine by considering the chyme as an Oldroyd fluid. We found out that the pumping rate of Oldroyd fluid is less than that for a Newtonian fluid. Further, the effects of Reynolds number, Weissenberg number, amplitude ratio and wave number on the pressure rise and friction force have been discussed. It is found that the pressure rise does not depend on Weissenberg number at a certain value of flow rate. The results are studied for various values of the physical parameters of interest.

Slip flow in peristaltic transport of a Carreau fluid in an asymmetric channel

2009 ◽  
Vol 87 (8) ◽  
pp. 957-965 ◽  
Author(s):  
Ayman Mahmoud Sobh
Keyword(s):  
Pressure Gradient ◽  
Axial Velocity ◽  
Slip Flow ◽  
Perturbation Expansion ◽  
Pressure Rise ◽  
Weissenberg Number ◽  
Peristaltic Transport ◽  
Asymmetric Channel ◽  
Carreau Fluid ◽  
Axial Velocity Component

In this paper, peristaltic transport of a Carreau fluid in an asymmetric channel is studied theoretically under zero Reynolds number and long-wavelength approximation for both slip and no-slip flow (Kn  =  0). The problem is analyzed using a perturbation expansion in terms of the Weissenberg number as a parameter. Analytic forms for the axial velocity component and the pressure gradient are obtained to second order. The pressure rise is computed numerically and explained graphically. Moreover, the effects of the slip parameter, Weissenberg number, power-law index, and phase difference on the pressure gradient, the axial velocity, and the trapping phenomena have been discussed.

scholarly journals Chemical Reaction Effects on MHD Free Convective Flow through Porous Medium with Constant Suction and Heat Flux

2016 ◽  
Vol 3 (3) ◽  
Author(s):  
B. Seshaiah ◽  
S.V.K. Varma
Keyword(s):  
Heat Flux ◽  
Porous Medium ◽  
Constant Heat Flux ◽  
Free Convective Flow ◽  
Suction Velocity ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Constant Suction ◽  
Flow Through ◽  
Transfer Flow

<div><p><em>The Objective of the present study is to investigate to free convection and mass transfer flow of a viscous incompressible and electrically conducting fluid through a porous medium bounded by vertical infinite surface with constant suction velocity and constant heat flux under the action of uniform magnetic field applied normal to the direction of flow.</em></p></div>

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