# 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

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topFernando 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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