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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.

76Z99 Biological fluid mechanics
76A05 Non-Newtonian fluids
92C50 Medical applications (general)
Full Text: DOI
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