Nonlinear Interactions in Turbulence with Strong Irrotational Straining

  • N. K.-R. Kevlahan
  • J. C. R. Hunt
Conference paper
Part of the Fluid Mechanics and its Applications book series (FMIA, volume 36)


The rate of growth of the nonlinear terms in the vorticity equation are analysed for a turbulent flow with r.m.s. velocity u 0 and integral length scale L subjected to a strong uniform irrotational plane strain S, where (u 0/L)/S = ε ≪ 1. The Rapid Distortion Theory (RDT) solution is the zeroth order term of the perturbation series solution in terms of ε. We use the asymptotic form of the convolution integrals for the zeroth order nonlinear terms when exp(St) ≫ 1 to determine when (in wavenumber k and time t) the perturbation series in ε fails, and hence estimate precisely the domain of validity of inviscid and viscous RDT.


Nonlinear Term Vortex Tube Vorticity Field Perturbation Series Vorticity Equation 
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  1. Hunt, J.C.R. and Carruthers, D.J. (1990) Rapid distortion theory and the ’problems’ of turbulence. J. Fluid Mech.212, 497–532MathSciNetADSzbMATHCrossRefGoogle Scholar
  2. Kida, S. and Hunt, J.C.R. (1989) Interaction between different scales of turbulence over short timesJ. Fluid Mech.201, 411–445. MathSciNetADSzbMATHCrossRefGoogle Scholar
  3. Lesieur, M. (1990) Turbulence in fluids: stochastic and numerical modelling Martinus Nijhoff.zbMATHGoogle Scholar
  4. McComb, VV.D. (1990) Physics of turbulenceClarendon Press.Google Scholar
  5. Mansour, N., Shih, T.-H., Reynolds, VV.C. (1991) The effects of rotation on initially anisotropic turbulent flows. Phys Fluids A 3. 2421–2437. zbMATHGoogle Scholar
  6. Sadeh, W.Z., Brauer, H.J. (1980) A visual investigation of turbulence in the stagnation flow about a circular cylinder. J. Fluid Mech.99, 53–64.ADSCrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • N. K.-R. Kevlahan
    • 1
  • J. C. R. Hunt
    • 2
  1. 1.LMD-CNRSEcole Normale SupérieureParis cedex 05France
  2. 2.DAMTPUniversity of CambridgeCambridgeUK

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