• Paresh Chokshi
  • V. Kumaran
Conference paper
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 78)


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.


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  1. Bhave, A. V., Armstrong, R. C., and Brown, R. A. (1991). Chem. Phys., 14:2988–3000.Google Scholar
  2. Black, W. B. (2000). PhD Thesis, University of Wisconsin, Madison.Google Scholar
  3. Davey, A. and Nguyen, H. P. F. (1971). J. Fluid Mech., 45:701–720.Google Scholar
  4. Ottinger, H. C (1992). Rheol. Acta., 31:14–21.Google Scholar
  5. Mavrantzas, V. G. and Beris, A. N (1992). Phys. Rev. Lett., 69:273–276.CrossRefGoogle Scholar
  6. Sureshkumar, R. and Beris, A. N. (1995). J. Non-Newtonian Fluid Mech., 60:53-80.Google Scholar
  7. Wilson, H. J., Renardy, M., and Renardy, Y. (1999). J. Non-Newt. Fluid Mech., 80:251-268.CrossRefGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

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

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