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Investigations of shear free turbulent diffusion in a rotating frame

  1. S. Guenther1,*,
  2. Oberlack1,
  3. G. Brethouver2,
  4. A. V. Johansson2

Article first published online: 13 DEC 2004

DOI: 10.1002/pamm.200410210

Issue

PAMM

PAMM

Volume 4, Issue 1, pages 458–459, December 2004

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How to Cite

Guenther, S., Oberlack, Brethouver, G. and Johansson, A. V. (2004), Investigations of shear free turbulent diffusion in a rotating frame. Proc. Appl. Math. Mech., 4: 458–459. doi: 10.1002/pamm.200410210

Author Information

  1. 1

    Hydromechanics and Hydraulics Group, T U Darmstadt Petersenstraße 13, 64287 Darmstadt, Germany

  2. 2

    Department of Mechanics, KTH, SE-100 44 Stockholm, Sweden

*Phone: +00 49 6151 162593, Fax: +00 49 6151 167061

Publication History

  1. Issue published online: 13 DEC 2004
  2. Article first published online: 13 DEC 2004

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Abstract

We reconsider the problem of shear free turbulent diffusion in a rotating frame, rotating about x1. Shear free turbulence is generated at a vibrating grid in the x2–x3 plane and diffuses away from the grid in x1 direction. An important property of this flow case is that there is no mean flow-velocity. With the help of Lie-group methods Reynolds-stress transport models can be analyzed for this kind of flow in a rotating frame. From the analysis it can be found, that the turbulent diffusion only influences a finite domain. Implicating this solution in the model equations shows that even fully nonlinear Reynolds-stress transport models (non-linear in the Reynolds-stresses for the pressure-strain model) are insensitive to rotation for this type of flow. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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