
Accession Number : AD0679180
Title : PERISTALTIC PUMPING WITH LONG WAVE LENGTHS AT LOW REYNOLDS NUMBER.
Descriptive Note : Summary rept.,
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE FLUID MECHANICS LAB
Personal Author(s) : Shapiro,Ascher H. ; Jaffrin,Michel Y. ; Weinberg,Steven L.
Report Date : SEP 1968
Pagination or Media Count : 61
Abstract : Pumping by means of an infinite train of peristaltic waves is investigated under conditions for which (1) the relevant Reynolds number is small enough for inertial effects to be negligible and (2) the wavelengthdiameter ratio is large enough for the pressure to be considered uniform over the crosssection. Theoretical results are presented for both plane and axisymmetric geometries, and for amplitude ratios ranging from zero to full occlusion. For a given amplitude ratio, the theoretical pressure rise per wavelength decreases linearly with increasing timemean flow. An experiment with a quasitwodimensional apparatus confirmed the theoretical values. Calculations of the detailed fluid motions reveal that under many conditions of operation the net timemean flow is the algebraic difference between a forward timemean flow in the core of the tube and a backward ('reflux') timemean flow near the periphery. The percentage of reflux flow can be very high. This reflux phenomenon is probably of physiologic significance in the functioning of the ureter and the gastrointestinal system. A second fluid mechanical peculiarity with physiological implications is that of 'trapping': under certain conditions an internallycirculating bolus of fluid, lying about the axis, is transported with the wave speed as though it were trapped by the wave. (Author)
Descriptors : (*PERISTALSIS, *FLUID MECHANICS), REYNOLDS NUMBER, PRESSURE, URINARY SYSTEM, PUMPS, TWO DIMENSIONAL FLOW, GASTROINTESTINAL SYSTEM
Subject Categories : Anatomy and Physiology
Pumps, Filters, Pipes, Tubing, Fittings & Vlvs
Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE