Effects of an endoscope and fluid with variable viscosity on peristaltic motion

The influence of an inserted endoscope and fluid with variable viscosity on the peristaltic motion has been investigated under zero Reynolds number. The problem is formulated using a perturbation expansion in terms of a variant wave number. The effects of curvature, viscosity, radius of an endoscope and amplitude of the wave on the pressure rise and friction forces on the inner and outer tubes are analyzed. Peristaltic and augmented pumping are discussed. The results show that, the pressure rise increases with increasing wave number, amplitude ratio and radius ratio. Also, it decreases with increasing viscosity parameter. Further, it is independent of wave number, amplitude ratio, radius ratio and viscosity parameter at certain values of flow rate. A comparison with previous studies is given.

[1]  S. Ostrach,et al.  A long wave approximation to peristaltic motion. , 1970, Journal of biomechanics.

[2]  G. Bugliarello,et al.  Velocity distribution and other characteristics of steady and pulsatile blood flow in fine glass tubes. , 1970, Biorheology.

[3]  L M Srivastava,et al.  Peristaltic transport of a physiological fluid. Part-I. Flow in non-uniform geometry. , 1983, Biorheology.

[4]  Abd El Hakeem Abd El Naby,et al.  Effects of a Fluid with Variable Viscosity and an Endoscope on Peristaltic Motion , 2003 .

[5]  Ericka Stricklin-Parker,et al.  Ann , 2005 .

[6]  P. Lykoudis,et al.  The fluid mechanics of the ureter from a lubrication theory point of view , 1970, Journal of Fluid Mechanics.

[7]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[8]  Abd El Hakeem Abd El Naby,et al.  Effects of an endoscope and generalized Newtonian fluid on peristaltic motion , 2002, Appl. Math. Comput..

[9]  Alden M. Provost,et al.  A theoretical study of viscous effects in peristaltic pumping , 1994, Journal of Fluid Mechanics.

[10]  P. Cotton,et al.  Practical Gastrointestinal Endoscopy , 2000 .

[11]  L. M. Srivastava,et al.  Peristaltic transport of a non-newtonian fluid: Applications to the vas deferens and small intestine , 2006, Annals of Biomedical Engineering.

[12]  P. Lykoudis,et al.  The fluid mechanics of the ureter , 1971, Journal of Fluid Mechanics.

[13]  Asim Siddiqui,et al.  Peristaltic flow of a second-order fluid in tubes , 1994 .

[14]  C. Barton,et al.  Peristaltic flow in tubes. , 1968, The Bulletin of mathematical biophysics.

[15]  R. Haynes.  Physical basis of the dependence of blood viscosity on tube radius. , 1960, The American journal of physiology.

[16]  B. M. Fulk.  MATH , 1992 .

[17]  S. Weinberg,et al.  Peristaltic pumping with long wavelengths at low Reynolds number , 1968, Journal of Fluid Mechanics.

[18]  E. F. Elshehawey,et al.  Peristaltic Motion of Generalized Newtonian Fluid in a Non-Uniform Channel , 1998 .

[19]  E. F. Elshehawey,et al.  Peristaltic Motion of an Incompressible Generalized Newtonian Fluid in a Planar Channel , 1996 .

[20]  J. B. Shukla,et al.  Effects of peripheral-layer viscosity on peristaltic transport of a bio-fluid , 1980, Journal of Fluid Mechanics.