STABILITY AND TRANSITION IN THE FLOW OFPOLYMER SOLUTIONS

  • Paresh Chokshi
  • V. Kumaran
Conference paper

DOI: 10.1007/1-4020-4159-4_49

Volume 78 of the book series Fluid Mechanics and Its Applications (FMIA)
Cite this paper as:
Chokshi P., Kumaran V. (2006) STABILITY AND TRANSITION IN THE FLOW OFPOLYMER SOLUTIONS. In: Govindarajan R. (eds) IUTAM Symposium on Laminar-Turbulent Transition. Fluid Mechanics and Its Applications, vol 78. Springer, Dordrecht

Abstract

The linear stability analysis of a plane Couette flow of viscoelastic fluid have been studied with the emphasis on two dimensional disturbances with wave number k ~ Re1/2, where Re is Reynolds number based on maximum velocity and channel width. We employ three models to represent the dilute polymer solution: the classical Oldroyd-B model, the Oldroyd-B model with artificial diffusivity and the non-homogeneous polymer model. The result of the linear stability analysis is found to be sensitive to the polymer model used. While the plane Couette flow is found to be stable to infinitesimal disturbances for the first two models, the last one exhibits a linear instability.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer 2006

Authors and Affiliations

  • Paresh Chokshi
    • 1
  • V. Kumaran
    • 1
  1. 1.Indian Institute of ScienceBangalore