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A Reynolds Number Independent Model for Turbulence in Couette Flow

  • Conference paper
IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow

Part of the book series: Fluid Mechanics and its Applications ((FMIA,volume 74))

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Abstract

In this paper we study theoretically and computationally the dynamics of linearized stream-wise constant Navier-Stokes equations, under external time varying deterministic disturbances.

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References

  1. Bobba, K. M., Bamieh, B., and Doyle, J. C. (2002). Robustness and Navier-Stokes Equations, IEEE 2002 Conference on Decision and Control, Dec 10–13, Las Vegas, Nevada, USA.

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  2. Bobba, K. M., Bamieh, B., and Doyle, J. C. Highly Optimized Transitions to Turbulence, submitted to Phys. Rev. Lett.

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  3. Bobba, K. M. and Doyle, J. C. Uncertainty Analysis of Transition to Turbulence in 2D/3C Couette Flow, to be submitted to Phys. Fluids.

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  4. Drazin, P. G., and Reid, W. H.(1981). Hydrodynamic Stability, Cambridge University Press.

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  5. Wilson, D. A. (1989). Convolution and Hankel Operator Norms for Linear Systems, IEEE Transactions on Automatic Control, 34:1:94–97.

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  6. Yoshida, Y. (1980). Functional Analysis, Springer-Verlag, pages 193–195.

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© 2004 Springer Science+Business Media Dordrecht

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Bobba, K., Doyle, J., Gharib, M. (2004). A Reynolds Number Independent Model for Turbulence in Couette Flow. In: Smits, A.J. (eds) IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow. Fluid Mechanics and its Applications, vol 74. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0997-3_25

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  • DOI: https://doi.org/10.1007/978-94-007-0997-3_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3763-1

  • Online ISBN: 978-94-007-0997-3

  • eBook Packages: Springer Book Archive

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