Viscoelastic fluid models derived from kinetic equations for polymers

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.


Published in:
Siam Journal on Applied Mathematics, 62, 5, 1501-1519
Year:
2002
ISSN:
0036-1399
Keywords:
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
Times Cited: 3
Cited Reference Count: 19
Other identifiers:
Laboratories:




 Record created 2006-08-24, last modified 2018-12-03


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