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research article

Viscoelastic fluid models derived from kinetic equations for polymers

Degond, P.
•
Lemou, M.
•
Picasso, M.  
2002
Siam Journal on Applied Mathematics

Differential relationships between velocity and stress are derived from the kinetic theory of polymeric liquids. The Fokker-Planck equation corresponding to the so-called dumbbell theory for dilute solutions of polymers is considered. A Chapman-Enskog expansion for time-dependent, nonhomogeneous flows is proposed when the elastic character of the fluid is small, and the results included in the book of R. Bird, C. Curtiss, R. Armstrong, and O. Hassager [ Dynamics of Polymeric Liquids, Vol. 2, Kinetic Theory, John Wiley& Sons, New York, 1987] are recovered. A comparison with Oldroyd-B, FENE, and FENE-P fluids is presented in the frame of the plane Couette flow.

  • Details
  • Metrics
Type
research article
DOI
10.1137/S0036139900374404
Web of Science ID

WOS:000176675500003

Author(s)
Degond, P.
•
Lemou, M.
•
Picasso, M.  
Date Issued

2002

Published in
Siam Journal on Applied Mathematics
Volume

62

Issue

5

Start page

1501

End page

1519

Subjects

viscoelastic flows

•

polymers

•

Fokker-Planck equation

•

Chapman-Enskog

•

expansion

•

stress tensor

•

GENERALIZED RATIONAL APPROXIMATION

•

CONSTITUTIVE RELATIONS

•

DILUTE

•

FLOWS

Note

Univ Toulouse 3, Lab MIP, F-31062 Toulouse, France. Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland. Degond, P, Univ Toulouse 3, Lab MIP, 118 Route Narbonne, F-31062 Toulouse, France.

ISI Document Delivery No.: 570UA

Cited Reference Count: 19

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
ASN  
Available on Infoscience
August 24, 2006
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/233720
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