Peristaltic pumping and irreversibility of a Stokesian viscoelastic fluid

Joseph Teran, Lisa Fauci, Michael Shelley

Research output: Contribution to journalArticle

Abstract

Peristaltic pumping by wavelike contractions is a fundamental biomechanical mechanism for fluid and material transport and is used in the esophagus, intestine, oviduct, and ureter. While peristaltic pumping of a Newtonian fluid is well understood, in many important settings, as in the fluid dynamics of reproduction, the fluids have non-Newtonian responses. Here, we present a numerical method for simulating an Oldroyd-B fluid coupled to contractile, moving walls. A marker and cell grid-based projection method is used for the fluid equations and an immersed boundary method is used for coupling to a Lagrangian representation of the deforming walls. We examine numerically the peristaltic transport of a highly viscous Oldroyd-B fluid over a range of Weissenberg numbers and peristalsis wavelengths and amplitudes.

Original languageEnglish (US)
Article number073101
JournalPhysics of Fluids
Volume20
Issue number7
DOIs
StatePublished - 2008

Fingerprint

pumping
Fluids
fluids
esophagus
intestines
Newtonian fluids
fluid dynamics
markers
contraction
Fluid dynamics
projection
grids
Numerical methods
Wavelength
cells
wavelengths

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes
  • Condensed Matter Physics

Cite this

Peristaltic pumping and irreversibility of a Stokesian viscoelastic fluid. / Teran, Joseph; Fauci, Lisa; Shelley, Michael.

In: Physics of Fluids, Vol. 20, No. 7, 073101, 2008.

Research output: Contribution to journalArticle

Teran, Joseph ; Fauci, Lisa ; Shelley, Michael. / Peristaltic pumping and irreversibility of a Stokesian viscoelastic fluid. In: Physics of Fluids. 2008 ; Vol. 20, No. 7.
@article{9c5a049a1e384b81b8094c144a364114,
title = "Peristaltic pumping and irreversibility of a Stokesian viscoelastic fluid",
abstract = "Peristaltic pumping by wavelike contractions is a fundamental biomechanical mechanism for fluid and material transport and is used in the esophagus, intestine, oviduct, and ureter. While peristaltic pumping of a Newtonian fluid is well understood, in many important settings, as in the fluid dynamics of reproduction, the fluids have non-Newtonian responses. Here, we present a numerical method for simulating an Oldroyd-B fluid coupled to contractile, moving walls. A marker and cell grid-based projection method is used for the fluid equations and an immersed boundary method is used for coupling to a Lagrangian representation of the deforming walls. We examine numerically the peristaltic transport of a highly viscous Oldroyd-B fluid over a range of Weissenberg numbers and peristalsis wavelengths and amplitudes.",
author = "Joseph Teran and Lisa Fauci and Michael Shelley",
year = "2008",
doi = "10.1063/1.2963530",
language = "English (US)",
volume = "20",
journal = "Physics of Fluids",
issn = "1070-6631",
publisher = "American Institute of Physics Publising LLC",
number = "7",

}

TY - JOUR

T1 - Peristaltic pumping and irreversibility of a Stokesian viscoelastic fluid

AU - Teran, Joseph

AU - Fauci, Lisa

AU - Shelley, Michael

PY - 2008

Y1 - 2008

N2 - Peristaltic pumping by wavelike contractions is a fundamental biomechanical mechanism for fluid and material transport and is used in the esophagus, intestine, oviduct, and ureter. While peristaltic pumping of a Newtonian fluid is well understood, in many important settings, as in the fluid dynamics of reproduction, the fluids have non-Newtonian responses. Here, we present a numerical method for simulating an Oldroyd-B fluid coupled to contractile, moving walls. A marker and cell grid-based projection method is used for the fluid equations and an immersed boundary method is used for coupling to a Lagrangian representation of the deforming walls. We examine numerically the peristaltic transport of a highly viscous Oldroyd-B fluid over a range of Weissenberg numbers and peristalsis wavelengths and amplitudes.

AB - Peristaltic pumping by wavelike contractions is a fundamental biomechanical mechanism for fluid and material transport and is used in the esophagus, intestine, oviduct, and ureter. While peristaltic pumping of a Newtonian fluid is well understood, in many important settings, as in the fluid dynamics of reproduction, the fluids have non-Newtonian responses. Here, we present a numerical method for simulating an Oldroyd-B fluid coupled to contractile, moving walls. A marker and cell grid-based projection method is used for the fluid equations and an immersed boundary method is used for coupling to a Lagrangian representation of the deforming walls. We examine numerically the peristaltic transport of a highly viscous Oldroyd-B fluid over a range of Weissenberg numbers and peristalsis wavelengths and amplitudes.

UR - http://www.scopus.com/inward/record.url?scp=48849088906&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=48849088906&partnerID=8YFLogxK

U2 - 10.1063/1.2963530

DO - 10.1063/1.2963530

M3 - Article

AN - SCOPUS:48849088906

VL - 20

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 7

M1 - 073101

ER -