Peristaltic Pumping of Solid Particles Immersed in a Viscoelastic Fluid

J. Chrispell; L. Fauci

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 5, page 67-83
  • ISSN: 0973-5348

Abstract

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Peristaltic pumping of fluid is a fundamental method of transport in many biological processes. In some instances, particles of appreciable size are transported along with the fluid, such as ovum transport in the oviduct or kidney stones in the ureter. In some of these biological settings, the fluid may be viscoelastic. In such a case, a nonlinear constitutive equation to describe the evolution of the viscoelastic contribution to the stress tensor must be included in the governing equations. Here we use an immersed boundary framework to study peristaltic transport of a macroscopic solid particle in a viscoelastic fluid governed by a Navier-Stokes/Oldroyd-B model. Numerical simulations of peristaltic pumping as a function of Weissenberg number are presented. We examine the spatial and temporal evolution of the polymer stress field, and also find that the viscoelasticity of the fluid does hamper the overall transport of the particle in the direction of the wave.

How to cite

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Chrispell, J., and Fauci, L.. "Peristaltic Pumping of Solid Particles Immersed in a Viscoelastic Fluid." Mathematical Modelling of Natural Phenomena 6.5 (2011): 67-83. <http://eudml.org/doc/222311>.

@article{Chrispell2011,
abstract = {Peristaltic pumping of fluid is a fundamental method of transport in many biological processes. In some instances, particles of appreciable size are transported along with the fluid, such as ovum transport in the oviduct or kidney stones in the ureter. In some of these biological settings, the fluid may be viscoelastic. In such a case, a nonlinear constitutive equation to describe the evolution of the viscoelastic contribution to the stress tensor must be included in the governing equations. Here we use an immersed boundary framework to study peristaltic transport of a macroscopic solid particle in a viscoelastic fluid governed by a Navier-Stokes/Oldroyd-B model. Numerical simulations of peristaltic pumping as a function of Weissenberg number are presented. We examine the spatial and temporal evolution of the polymer stress field, and also find that the viscoelasticity of the fluid does hamper the overall transport of the particle in the direction of the wave.},
author = {Chrispell, J., Fauci, L.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {viscoelastic fluid; peristaltic pumping; Oldroyd-B},
language = {eng},
month = {8},
number = {5},
pages = {67-83},
publisher = {EDP Sciences},
title = {Peristaltic Pumping of Solid Particles Immersed in a Viscoelastic Fluid},
url = {http://eudml.org/doc/222311},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Chrispell, J.
AU - Fauci, L.
TI - Peristaltic Pumping of Solid Particles Immersed in a Viscoelastic Fluid
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/8//
PB - EDP Sciences
VL - 6
IS - 5
SP - 67
EP - 83
AB - Peristaltic pumping of fluid is a fundamental method of transport in many biological processes. In some instances, particles of appreciable size are transported along with the fluid, such as ovum transport in the oviduct or kidney stones in the ureter. In some of these biological settings, the fluid may be viscoelastic. In such a case, a nonlinear constitutive equation to describe the evolution of the viscoelastic contribution to the stress tensor must be included in the governing equations. Here we use an immersed boundary framework to study peristaltic transport of a macroscopic solid particle in a viscoelastic fluid governed by a Navier-Stokes/Oldroyd-B model. Numerical simulations of peristaltic pumping as a function of Weissenberg number are presented. We examine the spatial and temporal evolution of the polymer stress field, and also find that the viscoelasticity of the fluid does hamper the overall transport of the particle in the direction of the wave.
LA - eng
KW - viscoelastic fluid; peristaltic pumping; Oldroyd-B
UR - http://eudml.org/doc/222311
ER -

References

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