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.
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
Record created on 2006-08-24, modified on 2016-08-08