Inflow boundary conditions for steady flows of viscoelastic fluids with differential constitutive laws

Rocky Mountain Journal of Mathematics

Volumn 18, Issue 2, 1988, Pages 445-453

  Renardy, Michael ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000771955     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/RMJ-1988-18-2-445     Document Type: Article

References (10)

1. H. Beirao da Veiga, Stationary motions and incompressible limit for compressible viscous fluids, MRC Technical Summary Report #2883, University of Wisconsin, Madison 1985.
2. M.J. Crochet, A.R. Davies and K. Walters, Numerical Simulation of NonNewtonian Flow, Elsevier 1984.
3. H. Giesekus, A unified approach to a variety of constitutive models for polymer fluids based on the concept of configuration dependent molecular mobility, Rheol. Acta 21 (1982), 366-375.
4. D.D. Joseph, M. Renardy and J.C. Saut, Hyperbolicity and change of type in the flow of viscoelastic fluids, Arch. Rational Mech. Anal. 87 (1985), 213-251.
5. A.I. Leonov, Nonequilibrium thermodynamics and rheology of viscoelastic polymer media, Rheol. Acta. 15 (1976), 85-98.
6. M. Luskin, On the classification of some model equations for visoelasticity, J. NonNewtonian Fluid Mech. 16 (1984), 3-11.
7. J.G. Oldroyd, Non-Newtonian effects in steady motion of some idealized elasticoviscous fluids, Proc. Roy. Soc. London A245 (1958), 278-297.
8. M. Renardy, Existence of slow steady flows of viscoelastic fluids with differential constitutive equations, Z. Angew. Math. Mech. 65 (1985), 449-451.
9. I.M. Rutkevich, The propagation of small perturbations in a visoelastic fluid, J. Appl. Math. Mech. 34 (1970), 35-50.
10. J.S. Ultman and M.M. Denn, Anomalous heat transfer and a wave phenomenon in dilute polymer solutions, Trans. Soc. Rheology 14 (1970), 307-317.