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Revisiting Taylor's hypothesis

  • P. MOIN (a1)
Abstract

Taylor's hypothesis, relating temporal to spatial fluctuations in turbulent flows is investigated using powerful numerical computations by del Álamo & Jiménez (J. Fluid Mech., 2009, this issue, vol. 640, pp. 5–26). Their results cast doubt on recent interpretations of bimodal spectra in relation to very large-scale turbulent structures in experimental measurements in turbulent shear flows.

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References
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del Álamo J. C. & Jiménez J. 2009 Estimation of turbulent convection velocities and corrections to Taylor's approximation. J. Fluid Mech. 640, 526.
Goldschmidt V. W., Young M. F. & Ott E. S. 1981 Turbulent convective velocities (broadband and wavenumber dependent) in a plane jet. J. Fluid Mech. 105, 327345.
Hites M. 1997 Scaling of high-Reynolds number turbulent boundary layers in the national diagnostic facility. PhD thesis, Illinois Institute of Technology, Chicago.
Hussain A. K. M. F. & Clark A. R. 1981 Measurements of wavenumber-celerity spectrum in plane and axisymmetric jets. AIAA J. 19 (1), 5155.
Kunkel G. J. & Marusic I. 2006 Study of the near-wall-turbulent region of the high-Reynolds-number boundary layer using atmospheric data. J. Fluid Mech. 548, 375402.
Lee S., Lele S. K. & Moin P. 1992 Simulation of spatially evolving turbulence and the applicability of Taylor's hypothesis in compressible flow. Phys. Fluids A 4 (7), 15211530.
Lin C. C. 1953 On Taylor's hypothesis and the acceleration terms in the Navier–Stokes equations. Q. Appl. Math. 10 (4), 295306.
Taylor G. I. 1938 The spectrum of turbulence. Proc. R. Soc. Lond. 164 (919), 476490.
Townsend A. A. 1976 The Structure of Turbulent Shear Flows, 2nd edn. Cambridge University Press.
Wang M., Lele S. K. & Moin P. 1996 Computation of quadrupole noise using acoustic analogy. AIAA J. 34 (11), 22472254.
Wills J. A. B. 1964 Convection velocities in turbulent shear flows. J. Fluid Mech. 20, 417432.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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