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

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 expressio...

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Bibliographic Details
Published in:Physica A 2008-04, Vol.387 (11), p.2403-2415
Main Authors: Mekheimer, Kh.S., Abd elmaboud, Y.
Format: Article
Language:English
Subjects:
Couple stress fluid
Endoscope
Peristaltic flow
Pressure rise
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Summary: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.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2007.12.017