User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

On the stability of plane Poiseuille flow of viscoelastic fluids

Primary tabs

Crochet, Marcel [UCL] Tackels, G.

The stability of plane Poiseuille flow under plane infinitesimal disturbances of a finite linear viscoelastic fluid are considered. The memory function is obtained on the basis of the bead-spring model in the molecular theory of dilute polymer solutions. The analysis shows the destabilizing influence of the viscoelastic character of the fluid; for small Weissenberg numbers, the number of relaxation times has little influence upon stability. The effect upon stability of the addition of a Newtonian term in the stress constitutive relation of a finite linear viscoelastic fluid is also examined.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 1976
Journal information "Acta Mechanica" - Vol. 24, no. 1-2, p. 1-12 (1976)
Peer reviewed yes
issn 0001-5970
Publication status Publié
Affiliation UCL - FSA/MECA - Département de mécanique
Links
  1. Tackels, G., andM. J. Crochet: Stability of plane Poiseuille flow of a finite linear viscoelastic fluid. Phys. Fluids16, 790 (1973).
  2. Ferry, J. D.: Viscoelastic properties of Polymers, chap. 9, 2nd ed. New York: J. Wiley. 1970.
  3. Peticolas Warner L., Introduction to the Molecular Viscoelastic Theory of Polymers and Its Applications, 10.5254/1.3539650
  4. Cousins, R. R.: The effect of stress relaxation parameters on the stability of plane Poiseuille flow. Int. J. Engng. Sci.10, 301 (1972).
  5. Coleman, B. D., andW. Noll: Foundations of linear viscoelasticity. Rev. Mod. Phys.33, 239 (1961).
  6. Nachtsheim, P. R.: An initial values method for the numerical treatment of the Orr-Sommerfeld equation for the case of plane Poiseuille flow. NASA TN D-2414 (1964).
  7. Christensen, R. M.: A special theory of viscoelastic fluids. Acta Mechanica16, 183 (1973).
Bibliographic reference Crochet, Marcel ; Tackels, G.. On the stability of plane Poiseuille flow of viscoelastic fluids. In: Acta Mechanica, Vol. 24, no. 1-2, p. 1-12 (1976)
Permanent URL http://hdl.handle.net/2078.1/66693