| タイトル | A phenomenological treatment of rotating turbulence |
| 本文(外部サイト) | http://hdl.handle.net/2060/19950021807 |
| 著者(英) | Zhou, YE |
| 著者所属(英) | Institute for Computer Applications in Science and Engineering |
| 発行日 | 1995-05-01 |
| 言語 | eng |
| 内容記述 | The strong similarity between the magnetohydrodynamic (MHD) turbulence and initially isotropic turbulence subject to rotation is noted. We then apply the MHD phenomenologies of Kraichnan and Matthaeus & Zhou to rotating turbulence. When the turbulence is subject to a strong rotation, the energy spectrum is found to scale as E(k) = C(sub Omega)(Omega(sub epsilon))(sup 1/2)k(sup -2), where Omega is the rotation rate, k is the wavenumber, and epsilon is the dissipation rate. This spectral form is consistent with a recent letter by Zeman. However, here the constant C(sub Omega) is found to be related to the Kolmogorov constant and is estimated in the range 1.22 - 1.87 for the typical values of the latter constant. A 'rule' that relates spectral transfer times to the eddy turnover time and the time scale for decay of the triple correlations is deduced. A hypothesis for the triple correlation decay rate leads to the spectral law which varies between the '-5/3' (without rotation) and '-2' laws (with strong rotation). For intermediate rotation rates, the spectrum varies according to the value of a dimensionless parameter that measures the strength of the rotation wavenumber k(sub Omega) = (Omega(sup 3)/epsiolon)(sup 1/2) relative to the wavenumber k. An eddy viscosity is derived with an explicit dependence on the rotation rate. |
| NASA分類 | FLUID MECHANICS AND HEAT TRANSFER |
| レポートNO | 95N28228 NASA-CR-198168 NAS 1.26:198168 ICASE-95-43 |
| 権利 | No Copyright |
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