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Effects of an endoscope and generalized Newtonian fluid on peristaltic motion. (English) Zbl 1126.76403
Summary: The influence of an inserted endoscope and a Carreau fluid on the peristaltic pumping is investigated under zero Reynolds number and infinitely long wavelength assumptions. The problem is formulated using a perturbation expansion in terms of a variant of the Weissenberg number to obtain explicit forms for the velocity field, a relation between the pressure gradient and flow rate and a relation between the friction force on the inner and outer tubes and flow rate, in terms of the dimensionless non-Newtonian parameters, the radius ratio, and the occlusion. The peristaltic pumping and augmented pumping are discussed for various values of the physical parameters of interest.

MSC:
76Z99 Biological fluid mechanics
76A05 Non-Newtonian fluids
92C50 Medical applications (general)
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[1] T.W. Latham, M.S. Thesis, MIT Press, Cambridge, MA, 1966
[2] Fung, Y.C.; Yih, C.S., J. appl. mech., 35, 669, (1968)
[3] Shapiro, A.H.; Jaffrin, M.Y.; Weinberg, S.L., J. fluid mech., 37, 799, (1969)
[4] Roos, R.; Lykoudis, P.S., J. fluid mech., 46, 625, (1971)
[5] Lew, H.S.; Fung, Y.C.; Lowenstein, C.B., J. biomech., 4, 297, (1971)
[6] Bird, R.B.; Armstrong, R.C.; Hassager, O., (), 210, (Chapter 5)
[7] Shukla, J.B.; Parihar, R.S.; Rao, R.P.; Gupta, S.P., J. fluid mech., 97, 255, (1980)
[8] Bohme, G.; Friedrich, R., J. fluid mech., 128, 109, (1983)
[9] Srivastava, L.M.; Srivastava, V.P., J. biomech., 17, 821, (1984)
[10] Srivastava, L.M.; Srivastava, V.P., Ann. biomed. eng., 13, 137, (1985)
[11] Srivastava, L.M., J. biomech., 18, 479, (1985)
[12] Pozrikidis, C., J. fluid mech., 180, 515, (1987)
[13] Srivastava, L.M.; Srivastava, V.P., Rheol. acta., 27, 428, (1988)
[14] Cotton, P.B.; Williams, X.B., Practical gastrointestinal endoscopy, (1990), Oxford London, (Chapter 2)
[15] Provost, A.M.; Schwarz, W.H., J. fluid mech., 279, 177, (1994)
[16] Siddiqui, A.M.; Schwarz, W.H., J. non-Newtonian fluid mech., 53, 257, (1994)
[17] El-Shehawey, E.F.; Mekheimer, K.S., J. phys. D, 27, 1163, (1994)
[18] Ramachandra, R.A.; Usha, S., J. biomech. eng., 117, 448, (1995)
[19] Abd El Hakeem Abd El Naby, Ph.D. Thesis, Faculty of Science, Mansoura University, Damietta, Egypt, 1997
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