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T. W. Latham, “Fluid Motion in a Peristaltic Pump,” Master’s Thesis, Massachusetts Institute of Technology, Cambridge, 1966.

has been cited by the following article:

  • TITLE: Mathematical Models for Flow of Chyme during Gastrointestinal Endoscopy

    AUTHORS: Ranadhir Roy, Fabiola Rios, Daniel N. Riahi

    KEYWORDS: Mathematical Models, Gastrointestinal, Chyme Flow, Endoscopy, Flow Modeling, Newtonian Incompressible Fluid Flow

    JOURNAL NAME: Applied Mathematics, Vol.2 No.5, May 6, 2011

    ABSTRACT: Intestinal infection has become a common disease in human and endoscopy can be a powerful means in diagnosis of intestinal illnesses. Mathematical models are developed for an inserted endoscope on the flow of chyme in the small intestine considering a Newtonian incompressible fluid flow, under an axisymmetric condition, in a cylindrical annulus between the small intestine and the endoscope. We obtain novel mathematical expressions for the pressure drop, forces exerted by the endoscope on the flow of chyme, and the force exerted by the chyme on the intestine for one wave length of the peristaltic rush wave. We also investigate and calculate the flow velocity and pressure for different flow rates and the wave lengths. The results are presented, and discussed for the cases and conditions under which pressure, pressure drop can be positive or negative and the forces can be acted either by the intestine or endoscope on the flow or vice-versa.