EFFECT OF VISCOSITY STRATIFICATION ON SECONDARY AND NONMODAL INSTABILITIES

  • A. Sameen
Conference paper
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 78)

Abstract

The effect of viscosity stratification on the different mechanism of transition to turbulence is not well understood. In this paper, a viscosity variation normal to the flow in a channel is investigated. The primary and secondary instability are computed, and the transient growth is analysed. It is found that viscosity stratification can have different effects in each case.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

REFERENCES

  1. Bayly, B. J., Orszag, S. A., and Herbert, T. (1988). Instability mechanisms in shear-flow transition. Ann. Rev. Fluid Mech., 20:359–391.CrossRefGoogle Scholar
  2. Govindarajan, R., L'vov, S. V., and Procaccia, I. (2001). Retardation of the onset of turbulence by minor viscosity contrasts. Phys. Rev. Lett., 87:174–501.CrossRefGoogle Scholar
  3. Herbert, T. (1983). Secondary instability of plane channel flow to subharmonic three-dimensional disturbances. Phys. Fluids, 26(4):871–874.CrossRefGoogle Scholar
  4. Meseguer, A. (2002). Energy transient growth in the Taylor-Couette problem. Phys. Fluids, 14(5).Google Scholar
  5. Ranganathan, B. T. and Govindarajan, R. (2001). Stabilisation and destabilisation of channel flow by location of viscosity-stratified fluid layer. Phys. Fluids., 13(1):1–3.CrossRefGoogle Scholar
  6. Reddy, S. C. and Henningson, D. S. (1993). Energy growth in viscous channel flows. J. Fluid Mech, 252:209–238.MathSciNetGoogle Scholar
  7. Schmid, P. J. and Henningson, D. S. (2001). Stability and Transition in Shear Flows. Springer-Verlag, New York.Google Scholar
  8. Wall, D. P. and Wilson, S. K. (1996). The linear stability of channel flow of fluid with temperature-dependent viscosity. J. Fluid Mech, 323:107–132.Google Scholar
  9. White, F. W. (1991). Viscous Fluid Flow. McGraw-Hill, Inc., 2nd ed. edition.Google Scholar
  10. Yih, C. S. (1967). Instability due to viscosity stratification. J. Fluid Mech., 27:337.MATHGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • A. Sameen
    • 1
  1. 1.Department of Aerospace EngineeringIndian Institute of ScienceBangaloreINDIA

Personalised recommendations