Hostname: page-component-7c8c6479df-24hb2 Total loading time: 0 Render date: 2024-03-29T00:36:09.689Z Has data issue: false hasContentIssue false

Effect of rotation on isotropic turbulence: computation and modelling

Published online by Cambridge University Press:  20 April 2006

Jorge Bardina
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, CA Present address: PEDA Corporation, Palo Alto, CA.
J. H. Ferziger
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, CA
R. S. Rogallo
Affiliation:
NASA-Ames Research Center, Moffett Field, CA

Abstract

This paper uses numerical simulation to analyse the effects of uniform rotation on homogeneous turbulence. Both large-eddy and full simulations were made. The results indicate that the predominant effect of rotation is to decrease the rate of dissipation of the turbulence and increase the lengthscales, especially those along the axis of rotation. These effects are a consequence of the reduction, due to the generation of inertial waves, of the net energy transfer from large eddies to small ones. Experiments are also influenced by a more complicated interaction between the rotation and the wakes of the turbulence-generating grid which modifies the nominal initial conditions in the experiment. The latter effect is accounted for in simulations by modifying the initial conditions. Finally, a two-equation model is proposed that accounts for the effects of rotation and is able to reproduce the experimental decay of the turbulent kinetic energy.

Type
Research Article
Copyright
© 1985 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Aupoix, B., Cousteix, J. & Liandrat, J. 1983 Effects of rotation on isotropic turbulence. In Proc. 4th Symp. Turbulent Shear Flows, Karlsruhe.
Bardina, J., Ferziger, J. H. & Reynolds, W. C. 1980 Improved subgrid-scale models for large-eddy simulations. AIAA 13th Fluid and Plasma Dynamics Conf., AIAA Paper 80-1357.
Bardina, J. Fertiger, J. H. & Reynolds, W. C. 1983 Improved turbulence models based on large eddy simulation of homogeneous, incompressible, turbulent flows. Rep. TF-19, Dept. of Mech. Engng, Stanford University, Stanford, CA.
Bertoglio, J. P. 1982 Homogeneous turbulent field in a rotating frame. AIAA J. 20, 1175.Google Scholar
Bertoglio, J. P. & Mathieu, J. 1983 Study of subgrid models for sheared turbulence. In Proc. 4th Symp. Turbulent Shear Flows, Karlsruhe.
Comte-Bellot, G. & Corrsin, S. 1971 Simple Eulerian time correlation of full- and narrow-band velocity signals in grid-generated ‘isotropic’ turbulence. J. Fluid Mech. 48, 273337.Google Scholar
Donaldson, C. Du P. 1973 Construction of a dynamic model of the production of atmospheric turbulence and the dispersal of atmospheric pollutants. Workshop on Micrometeorology (ed. D. A. Haergen), pp. 313392. American Meteorological Society, Boston.
Ferziger, J. H. 1981 Higher-level simulations of turbulent flows. Rep TF-16 Dept. of Mech. Engng, Stanford University, Stanford, CA.
Ferziger, J. H. & Leslie, D. C. 1979 Large eddy simulation - a predictive approach to turbulent flow computation. AIAA Computational Fluid Dynamics Conf., AIAA paper 79-1441.
Ferziger, J. H. & Shaanan, S. 1976 Effect of anisotropy and rotation on turbulence production. Phys. Fluids 19, 596597.Google Scholar
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Hopfinger, E. J. & Browand, F. K. 1982 Vortex solitary waves in a rotating turbulent flow. Nature, to be published.
Hopfinger, E. J., Browand, F. K. & Gagne, Y. 1982 Turbulence and waves in a rotating tank submitted to J. Fluid Mech.Google Scholar
Ibbetson, A. & Tritton, D. J. 1975 Experiments on turbulence in a rotating fluid. J. Fluid Mech. 68, 639672.Google Scholar
Johnston, J. P., Halleen, R. M. & Lezius, P. K. 1972 Effects of spanwise rotation on the structure of two-dimensional, fully developed, turbulent channel flow. J. Fluid Mech. 56 533557.Google Scholar
Kline, S. J., Cantwell, B. J. & Lilley, G. M. 1982 1980-81 AFOSR-HTTM-Stanford Conference on Complex Turbulent Flows, vol. 2, Dept. of Mech. Engng, Stanford University.
Launder, B. E., Priddin, C. H. & Skarma, B. I. 1977 The calculation of turbulent boundary layers on spinning and curved surfaces. Trans. ASME I: J. Fluids Engng, 231239.Google Scholar
Lin, A. & Wolfstein, M. 1980 Tensorial volume of turbulence. Phys. Fluids 23, 644646.Google Scholar
Mansour, N. N., Kim, J. & Moin, P. 1983 Computation of turbulent flows over a backward-facing step. In Proc. 4th Symp. Turbulent Shear Flows, Karlsruhe.
Reynolds, W. C. 1976 Computation of turbulent flows. Ann. Rev. Fluid Mech. 8, 183208.Google Scholar
Reynolds, W. C. 1982 Physical and analytical foundations, concepts, and new directions in turbulence modeling and simulation. In Proc. Êcole d’été d'Analyse Numérique de la Turbulence Électricité de France, to appear.
Rodi, W. 1979 Influence of buoyancy and rotation on equations for the turbulent lengthscale. In 2nd Intl Symp. Turbulent Shear Flows, London, pp. 10371342.
Rodi, W. 1981 Progress in turbulence modeling for incompressible flows. AIAA 19th Aerospace Sciences Meeting, AIAA Paper 81-0045.
Rogallo, R. S. 1981 Numerical experiments in homogeneous turbulence. NASA TM-81315.
Sandri, G. & Cerasoli, C. 1981 Fundamental research in turbulent modeling. Part 1. Theory. Part 2. Experiment. ARAP Rep. No. 438. Also published as AFOSR-TR-81-0332, February 1981.
Smagorinsky, J. 1963 General circulation experiments with the primitive equations. Mon. Wea. Rev. 91, 99.Google Scholar
Traugott, S. C. 1958 Influence of solid-body rotation on screen-produced turbulence. NACA Tech. Note 4135.
Tritton, D. J. 1981 Comments on ‘Effect of anisotropy and rotation on turbulence production’. Phys. Fluids 24, 19211922.Google Scholar
Wigeland, R. A. & Nagib, H. M. 1978 Grid-generated turbulence with and without rotation about the streamwise direction. IIT Fluids and Heat Transfer Rep. R78-1, Illinois Inst. of Tech., Chicago, Illinois.Google Scholar