1D dynamics of a second-grade viscous fluid in a constricted tube

Fernando Carapau; Adélia Sequeira

Banach Center Publications (2008)

  • Volume: 81, Issue: 1, page 95-103
  • ISSN: 0137-6934

Abstract

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Using a one-dimensional hierarchical model based on the Cosserat theory approach to fluid dynamics we can reduce the full 3D system of equations for the axisymmetric unsteady motion of a non-Newtonian incompressible second-grade viscous fluid to a system of equations depending on time and on a single spatial variable. From this new system we obtain the steady relationship between average pressure gradient and volume flow rate over a finite section of a straight constricted tube, and the corresponding equation for the wall shear stress.

How to cite

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Fernando Carapau, and Adélia Sequeira. "1D dynamics of a second-grade viscous fluid in a constricted tube." Banach Center Publications 81.1 (2008): 95-103. <http://eudml.org/doc/282117>.

@article{FernandoCarapau2008,
abstract = {Using a one-dimensional hierarchical model based on the Cosserat theory approach to fluid dynamics we can reduce the full 3D system of equations for the axisymmetric unsteady motion of a non-Newtonian incompressible second-grade viscous fluid to a system of equations depending on time and on a single spatial variable. From this new system we obtain the steady relationship between average pressure gradient and volume flow rate over a finite section of a straight constricted tube, and the corresponding equation for the wall shear stress.},
author = {Fernando Carapau, Adélia Sequeira},
journal = {Banach Center Publications},
keywords = {Cosserat theory; volume flow rate; average pressure gradient},
language = {eng},
number = {1},
pages = {95-103},
title = {1D dynamics of a second-grade viscous fluid in a constricted tube},
url = {http://eudml.org/doc/282117},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Fernando Carapau
AU - Adélia Sequeira
TI - 1D dynamics of a second-grade viscous fluid in a constricted tube
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 95
EP - 103
AB - Using a one-dimensional hierarchical model based on the Cosserat theory approach to fluid dynamics we can reduce the full 3D system of equations for the axisymmetric unsteady motion of a non-Newtonian incompressible second-grade viscous fluid to a system of equations depending on time and on a single spatial variable. From this new system we obtain the steady relationship between average pressure gradient and volume flow rate over a finite section of a straight constricted tube, and the corresponding equation for the wall shear stress.
LA - eng
KW - Cosserat theory; volume flow rate; average pressure gradient
UR - http://eudml.org/doc/282117
ER -

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