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IUTAM Symposium on Laminar-Turbulent Transition pp 145–151Cite as

EFFECT OF VISCOSITY STRATIFICATION ON SECONDARY AND NONMODAL INSTABILITIES

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Part of the book series: Fluid Mechanics and Its Applications ((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.

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REFERENCES

  • Bayly, B. J., Orszag, S. A., and Herbert, T. (1988). Instability mechanisms in shear-flow transition. Ann. Rev. Fluid Mech., 20:359–391.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Herbert, T. (1983). Secondary instability of plane channel flow to subharmonic three-dimensional disturbances. Phys. Fluids, 26(4):871–874.

    Article  Google Scholar 

  • Meseguer, A. (2002). Energy transient growth in the Taylor-Couette problem. Phys. Fluids, 14(5).

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Reddy, S. C. and Henningson, D. S. (1993). Energy growth in viscous channel flows. J. Fluid Mech, 252:209–238.

    MathSciNet  Google Scholar 

  • Schmid, P. J. and Henningson, D. S. (2001). Stability and Transition in Shear Flows. Springer-Verlag, New York.

    Google Scholar 

  • 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 

  • White, F. W. (1991). Viscous Fluid Flow. McGraw-Hill, Inc., 2nd ed. edition.

    Google Scholar 

  • Yih, C. S. (1967). Instability due to viscosity stratification. J. Fluid Mech., 27:337.

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Aerospace Engineering, Indian Institute of Science, Bangalore, INDIA

    A. Sameen

Authors
  1. A. Sameen
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Editor information

Editors and Affiliations

  1. Jawaharlal Nehru Centre for Advanced Scientific Research, Engineering Mechanics Unit, Bangalore, India

    Rama Govindarajan

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© 2006 Springer

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Sameen, A. (2006). EFFECT OF VISCOSITY STRATIFICATION ON SECONDARY AND NONMODAL INSTABILITIES. In: Govindarajan, R. (eds) IUTAM Symposium on Laminar-Turbulent Transition. Fluid Mechanics and Its Applications, vol 78. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4159-4_17

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  • DOI: https://doi.org/10.1007/1-4020-4159-4_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-3459-6

  • Online ISBN: 978-1-4020-4159-4

  • eBook Packages: EngineeringEngineering (R0)

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