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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 2 > No. 1

 
   

Peristaltic Flow through a Porous Medium in an Annulus: Application of an Endoscope

PP: 103-121
Author(s)
Kh.S. Mekheimer, Y. Abd Elmaboud,
Abstract
Peristaltic transport with long wavelength approximation and low Reynolds number assumptions through a porous medium in an annulus filled with an incompressible viscous and Newtonian fluid, is investigated theoretically. The inner tube is uniform, rigid, while the outer tube has a sinusoidal wave traveling down its wall. The flow is investigated in a wave frame of reference moving with velocity of the wave. The velocities and the pressure gradients have been obtained in terms of the dimensionless flow rate Q, the amplitude ratio ?, permeability of the porous medium K and the radius ratio (the ratio between the radius of the inner tube and the radius of the outer). The effects of porous medium and an endoscope on the velocities, pressure gradient, pressure rise and frictional forces on the inner and outer tubes are discussed.

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