Shear-free turbulent diffusion - classical and new scaling laws

Fluid Dynamics Research

Volumn 33, Issue 5-6, 2003, Pages 453-476

  Oberlack, Martin ^a   Guenther, Silke ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Diffusion waves; Lie symmetries; Multi point correlation equation; Similarity solutions; Turbulent diffusion; Vibrating grid turbulence

Indexed keywords

CORRELATION METHODS; DIFFUSION; INVARIANCE; PROBLEM SOLVING; REYNOLDS NUMBER; TURBULENCE; VIBRATIONS (MECHANICAL);

TURBULENT DIFFUSION;

FLUID DYNAMICS;

FLUID MECHANICS; MATHEMATICAL ANALYSIS; SCALING; TURBULENT DIFFUSION;

EID: 0345530836     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fluiddyn.2003.08.004     Document Type: Article

References (33)

1. Abramowitz M. Stegun I.A. Handbook of Mathematical Functions 1968 Dover Publications New York
2. Bluman G.W. Kumei S. Symmetries and Differential Equations Applied Mathematical Sciences Vol. 81 1989 Springer Berlin
3. Briggs D.A. Ferziger J.H. Koseff J.R. Monismith S.G. Entrainment in a shear-free turbulent mixing layer J. Fluid Mech. 310 1996 215-241
4. Cazalbou J.B. Bradshaw P. Turbulent transport in wall-bounded flows. Evaluation of model coefficients using direct numerical simulation Phys. Fluids A 5 12 1993 3233-3239
5. Cazalbou J.B. Chassaing P. New results on the model problem of the diffusion of turbulence from a plane source Phys. Fluids 13 2 2001 464-475
6. Cazalbou J.B. Chassaing P. The structure of the solution obtained with Reynolds-stress-transport models at the free-stream edge of turbulent flows Phys. Fluids 14 2 2002 597-611
7. Cazalbou J.B. Spalart P.R. Bradshaw P. On the behavior of two-equation models at the edge of a turbulent region Phys. Fluids 6 5 1994 1797-1804
8. Chen C.-J. Jaw S.-Y. Fundamentals of Turbulence Modeling. Combustion: An International Series 1998 Taylor - Francis London
9. De Silva I.P.D. Fernando H.J.S. Oscillating grids as a source of nearly isotropic turbulence Phys. Fluids 6 7 1994 2455-2464
10. Durbin P.A. Pettersson Reif B.A. Statistical Theory and Modeling for Turbulent Flows 2001 Wiley New York
11. Fernando H.J.S. De Silva I.P.D. Note on secondary flows in oscillating-grid, mixing-box experiments Phys. Fluids 5 7 1993 1849-1851
12. Fernando H.J.S. Long R.R. The growth of a grid-generated turbulent mixed layer in a two fluid system J. Fluid Mech. 133 1983 377-395
13. Hannoun I.A. Fernando H.J.S. List E.J. Turbulence structure near a sharp density interface J. Fluid Mech. 180 1989 198-209
14. Hopfinger E.J. Toly J.A. Spatially decaying turbulence and its relation to mixing density interface J. Fluid Mech. 78 1 1976 155-175
15. Ibragimov, N.H., 1995/1996. CRC Handbook of Lie Group Analysis of Differential Equations, Vols. 1-3, CRC Press, Boca Raton, FL.
16. Jones W.P. Launder B.E. The prediction of laminarization with a two-equation model of turbulence Int. J. Heat Mass Transfer 15 1972 301-314
17. Launder B.E. Reece G.C. Rodi W. Progress in the development of a Reynolds-stress turbulence closure J. Fluid Mech. 68 1975 537-566
18. Lele S.K. A consistency condition for Reynolds stress closures Phys. Fluids 28 1 1985 64-68
19. Long R.R. A theory of mixing in a stably stratified fluid J. Fluid Mech. 84 1978 113-124
20. Mann, J., Ott, S., Andersen, J.S., 1999. Experimental study of relative, turbulent diffusion. Research Report, Riso National Laboratory, Roskilde, Denmark.
21. Nokes R.I. On the entrainment of a density interface J. Fluid Mech. 188 1988 185-204
22. Oberlack M. On symmetries and invariant solutions of laminar and turbulent wall-bounded flows ZAMM 80 11-12 2000 791-800
23. Oberlack, M., 2000b. Symmetry, Invarianz und Selbstähnlichkeit in der Turbulenz. Habilitation Thesis, RWTH Aachen.
24. Oberlack M. A unified approach for symmetries in plane parallel turbulent shear flows J. Fluid Mech. 427 2001 299-328
25. Oberlack M. On the decay exponent of isotropic turbulence Proc. Appl. Math. Mech. 1 2002 294-297
26. Oberlack, M., Busse, F.H. (Eds.), 2002. Theories of Turbulence, CISM Courses and Lectures. Springer, Wien, New York.
27. Rotta J.C. Turbulente Strömungen 1972 Teubner Stuttgart
28. Shy S.S. Beidenthal R.E. Turbulent stratified interfaces Phys. Fluids A 3 5 1991 1278-1285
29. Shy S.S. Tang C.Y. Fann S.Y. A nearly isotropic turbulence generated by a pair of vibrating grids Exp. Thermal Fluid Sci. 14 1997 251-262
30. Sjögren T. Johansson A.V. Development and calibration of algebraic non-linear models for terms in the Reynolds stress transport equation Phys. Fluids 12 6 2000 1554-1572
31. Srdic A. Fernando H.J.S. Montenegro L. Generation of nearly isotropic turbulence using two oscillating grids Exp. Fluids 20 5 1996 395-397
32. Thompson S.M. Turner J.S. Mixing across an interface due to turbulence generated by an oscillating grid J. Fluid Mech. 67 1975 349-368
33. Umlauf, L., 2001. Turbulence parametrisation in hydrobiological models for natural waters. Dissertation Thesis, Technische Universität Darmstadt.