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Wednesday, July 22, 2020 | History

3 edition of A phenomenological treatment of rotating turbulence found in the catalog.

A phenomenological treatment of rotating turbulence

A phenomenological treatment of rotating turbulence

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  • 24 Currently reading

Published by Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, National Technical Information Service, distributor in Hampton, VA, [Springfield, Va .
Written in English

    Subjects:
  • Energy spectra.,
  • Energy transfer.,
  • Isotropic turbulence.,
  • Magnetohydrodynamic turbulence.,
  • Magnetohydrodynamics.,
  • Phenomenology.,
  • Rotating fluids.,
  • Turbulent flow.

  • Edition Notes

    StatementYe Zhou.
    SeriesICASE report -- no. 95-43., NASA contractor report -- 198168., NASA contractor report -- NASA CR-198168.
    ContributionsInstitute for Computer Applications in Science and Engineering.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL15413871M

    The model directly incorporates rotation and mean shear effects and is not limited by the use of local equilibrium hypothesis. The model is shown to reproduce the dominant effects of rotation on turbulence in rotating homogeneous shear flows and turbulent channel flows subject to spanwise rotation.   We refer the reader to the body of writing by Mannheim and collaborators [MK1, Mannheim1, Mannheim2, MOB1, MOB2, MOB3] for a comprehensive exposition of Mannheim’s phenomenological treatment of galactic rotation curves. Here our objective is to build a bridge from curvature-scaling gravity to the Mannheim’s theory.

      We present direct numerical simulations of statistically homogeneous, freely decaying, rotating turbulence in which the Rossby number, Ro = u⊥/2Ωl⊥, is of order unity. This is the regime normally encountered in laboratory experiments. () A phenomenological theory of rotating turbulence. Physics of Fluids, ISSN Full. Turbulent flow over blunt-nosed cylinders that are spinning about their axis is analyzed with applications to the development of projectiles. In this study, computations are performed using an anisotropic two-equation Reynolds-stress model to study the flow past spinning projectiles of circular cross-section at zero angle of attack. The model utilizes a phenomenological treatment of the energy.

    The book starts by introducing the MHD equations, certain useful approximations and the transition to turbulence. The second part of the book covers incompressible MHD turbulence, the macroscopic aspects connected with the different self-organization processes, the phenomenology of the turbulence spectra, two-point closure theory, and. Part of the ICASE/LaRC Interdisciplinary Series in Science and Engineering book series (ICAS, volume 7 modeling vortex stretching and viscous destruction terms of the dissipation rate equation based on the limit of rotating isotropic turbulence at high Reynolds numbers. Y., “A phenomenological treatment of rotating turbulence.


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A phenomenological treatment of rotating turbulence Download PDF EPUB FB2

In this Brief Communication, we first note the strong similarity between the magnetohydrodynamic (MHD) turbulence and initially isotropic turbulence subject to rotation. We then applied the MHD phenomenologies of Kraichnan [Phys.

Fluids 8, ()] and Matthaeus and Zhou [Phys. Fluids B 1, ()] to rotating turbulence. We deduced a ‘‘rule’’ that relates spectral transfer Cited by: A phenomenological treatment of rotating turbulence Article (PDF Available) in Physics of Fluids 7(8) June with 47 Reads How we measure 'reads'.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): 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.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The strong similaritybetween 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. In a phenomenological study, Mahalov and Zhou [78, 79] examine the different characteristic timescales appearing in the long-term behavior of rapidly rotating turbulence.

They propose the. A phenomenological treatment of rotating turbulence. By YE Zhou. Abstract. 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 provides an important input for applying the phenomenological treatment of Zhou. In order to characterize the relative strength of rotation, another non-dimensional number, a spectral Rossby number, which is defined as the ratio of rotation and turbulence time scales, is introduced.

Some aspects of a recent paper on rotating turbulence by Canuto and Dubovikov [Phys. Fluids 9, ()] are examined from historical and scientific perspectives.

Their claim to have discovered a new energy spectrum scaling law for rotating turbulence is examined in light of previous publications on this subject. We answer an objection raised to the consistency of this spectral scaling law.

We present direct numerical simulations of statistically homogeneous, freely decaying, rotating turbulence in which the Rossby number, Ro = u ⊥ /2Ωℓ ⊥, is of order is the regime normally encountered in laboratory experiments.

Consistency conditions for the prediction of turbulent flows in a rotating frame are examined. It is shown that the dissipation rate should vanish along with the eddy viscosity in the limit of rapid rotations. The latter result is also true when the eddy viscosity is anisotropic and formally follows from the explicit algebraic stress approximation as well as from a phenomenological treatment.

ROTATING TURBULENCE ve an E equation for rotating turbulence, we will combine the arguments of the previous section with Zhou's phenomenological model of rotating turbulence [4J. Briefly, this model postulates that strong rotation replaces the nonlinear time scale k/e by the inverse rotation rate ; closure theories lead to TE(K')z, ( A Phenomenological Treatment of Rotating Turbulence.

Zhou to rotating turbulence. When the turbulence is subject to a strong rotation, the energy spectrum is found to scale as E(k) = ; where \Omega is the rotation rate, k is the wavenumber, and ffl is the dissipation rate.

This spectral form is consistent with a recent letter by Zeman. The possibility to take into account the effects of the Coriolis acceleration on turbulence is examined in the framework of two-equation eddy-viscosity models. General results on the physical consistency of such turbulence models are derived from a dynamical-system approach to situations of time-evolving homogeneous turbulence in a rotating frame.

Application of this analysis to a (k, ϵ. A phenomenological treatment of rotating turbulence. Zhou to rotating turbulence. When the turbulence is subject to a strong rotation, the energy spectrum is found to scale as E(k) =C 1=2 k 2; where is the rotation rate, k is the wavenumber, and is the dissipation rate.

This spectral form is consistent with a recent letter by Zeman. Get this from a library. A phenomenological treatment of rotating turbulence. [Ye Zhou; Institute for Computer Applications in Science and Engineering.].

Wigeland, R. & Nagib, H. Grid-generated turbulence with and without rotation about the streamwise direction. IIT Fluids and Heat Transfer Rep.

R Wolfram, S. Mathematica. Corpus ID: Single point modeling of initially isotropic turbulence under uniform rotation @inproceedings{MansourSinglePM, title={Single point modeling of initially isotropic turbulence under uniform rotation}, author={N.

Mansour and Claude Cambon and Charles G. A turbulence model for the prediction of incompressible flows in complex geometries in the presence of curvature and swirl is developed. The model utilizes a phenomenological treatment of the energy spectrum to include the contributions of rotation and swirl.

The modeled form of the equations include an anisotropic Reynolds stress tensor representation and a scalar transport equation for. In this approach the effect of rotation is used to modify the energy spectrum, while the influence of swirl is modeled based on scaling laws.

A Note on the Spectra and Decay of Rotating Homogeneous Turbulence,” – Crossref. Search ADS 9. Zhou, Y.,“ A Phenomenological Treatment of Rotating Turbulence,” Phys.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): A framework, which combines mathematical analysis, closure theory, and phenomenological treatment, is developed to study the spectral transfer process and reduction of dimensionality in turbulent ows that are subject to rotation.

First, we outline a mathematical procedure that is particularly appropriate for problems. This provides an important input for applying the phenomenological treatment of Zhou [Phys. Fluids 7, ()]. In order to characterize the relative strength of rotation, another nondimensional number, a spectral Rossby number, which is defined as the ratio of rotation, and turbulence .The phenomenological theories developed by Zhou [1] and Canuto and Dubrovikov [2] predict that the spatial spectrum of velocity fluctuations behaves as k –2 in the presence of strong rotation.Turbulence is generated by rapidly towing a grid in a rotating water tank, and the velocity field in a plane perpendicular to the rotation axis is measured by means of particle image velocimetry.