Amplification of enstrophy in the far field of an axisymmetric turbulent jet

Journal of Fluid Mechanics

Volumn 651, Issue , 2010, Pages 483-502

  Buxton, O R H ^a   Ganapathisubramani, B ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; STEREO IMAGE PROCESSING; TENSORS; VELOCITY MEASUREMENT;

ENSTROPHY DESTRUCTION; INTERMEDIATE STRAIN RATE; LOCAL STRAIN FIELD; PARALLEL ALIGNMENTS; RATE-OF-STRAIN TENSORS; STEREOSCOPIC PARTICLE IMAGE VELOCIMETRY; SYMMETRIC COMPONENTS; VELOCITY GRADIENTS;

STRAIN RATE;

EIGENVALUE; FLOW VELOCITY; FLUID DYNAMICS; HYPOTHESIS TESTING; JET FLOW; OBSERVATIONAL METHOD; SKEWNESS; STRAIN ANALYSIS; STRAIN RATE; TURBULENT FLOW; VELOCITY PROFILE; VORTICITY;

EID: 77952425454     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009993892     Document Type: Article

References (48)

1. Andreotti, B. 1997 Studying Burgers' models to investigate the physical meaning of the alignments statistically observed in turbulence. Phys. Fluids 9 (3), 735-742.
2. Ashurst, W. T., Kerstein, A. R., Kerr, R. M. & Gibson, C. H. 1987 Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence. Phys. Fluids 30, 2343-2353.
3. Batchelor, G. K. & Townsend, A. A. 1949 The nature of turbulent motions at large wave-numbers. Proc. R. Soc. Lond. A 199, 238-255.
4. Bermejo-Moreno, I., Pullin, D. I. & Horiuti, K. 2009 Geometry of enstrophy and dissipation, resolution effects and proximity issues in turbulence. J. Fluid Mech. 620, 121-166.
5. Betchov, R. J. 1956 An inequality concerning the production of vorticity in isotropic turbulence. J. Fluid Mech. 1, 497-504.
6. Betchov, R. J. 1975 Numerical simulation of isotropic turbulence. Phys. Fluids 18 (10), 1230-1236.
7. Buxton, O. R. H. & Ganapathisubramani, B. 2009 The classification and composition of fine scale eddies in a turbulent jet. In 47th AIAA Aerospaces Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. AIAA Paper 2009-2592
8. Chakraborty, P., Balachandar, S. & Adrian, R. J. 2005 On the relationships between local vortex identification schemes. J. Fluid Mech. 535, 189-214.
9. Chong, M. S., Perry, A. E. & Cantwell, B. J. 1990 A general classification of three-dimensional flow fields. Phys. Fluids A 2 (5), 765-777.
10. Ganapathisubramani, B., Lakshminarasimhan, K. & Clemens, N. T. 2007 Determination of complete velocity gradient tensor by using cinematographic stereoscopic PIV in a turbulent jet. Exp. Fluids 42, 923-939.
11. Ganapathisubramani, B., Lakshminarasimhan, K. & Clemens, N. T. 2008 Investigation of three-dimensional structure of fine-scales in a turbulent jet by using cinematographic stereoscopic PIV. J. Fluid Mech. 598, 141-175.
12. Gulitski, G., Kholmyansky, M., Kinzelbach, W., Lüthi, B., Tsinober, A. & Yorish, S. 2007 Velocity and temperature derivatives in high-Reynolds-number turbulent flows in the atmospheric surface layer. Part 1. Facilities, methods and some general results. J. Fluid Mech. 589, 57-81. (Pubitemid 350214581)
13. Hamlington, P. E., Schumacher, J. & Dahm, W. J. A. 2008 Direct assessment of vorticity alignment with local and non-local strain rates in turbulent flows. Phys. Fluids 20 (111703), 1-4.
14. Horiuti, K. 2001 A classification method for vortex sheet and tube structures in turbulent flows. Phys. Fluids 13 (12), 3756-3774.
15. Horiuti, K. 2003 Roles of non-aligned eigenvectors of strain-rate and subgrid-scale stress tensors in turbulence generation. J. Fluid Mech. 491, 65-100.
16. Horiuti, K. & Takagi, Y. 2005 Identification method for vortex sheet structures in turbulent flows. Phys. Fluids 17 (121703), 1-4.
17. Jeong, J. & Hussain, F. 1995 On the identification of a vortex. J. Fluid Mech. 285, 69-94.
18. Jiménez, J. 1992 Kinematic alignment effects in turbulent flows. Phys. Fluids A 4 (4), 652-654.
19. Jiménez, J., Wray, A. A., Saffman, P. G. & Rogallo, R. S. 1993 The structure of intense vorticity in isotropic turbulence. J. Fluid Mech. 255, 65-90.
20. Kerr, R. M. 1985 Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence. J. Fluid Mech. 153, 31-58.
21. 4. Phys. Fluids 13 (1), 311-314.
22. Kolmogorov, A. N. 1962 A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J. Fluid Mech. 13, 82-85.
23. Mart́?n, J., Ooi, A., Chong, M. S. & Soria, J. 1998 Dynamics of the velocity gradient tensor invariants in isotropic turbulence. Phys. Fluids 10 (9), 2336-2346.
24. Matsuda, T. & Sakakibara, J. 2005 On the vortical structure in a round jet. Phys. Fluids 17 (025106), 1-11.
25. Morton, B. R. 1984 The generation and decay of vorticity. Geophys. Astrophys. Fluid Dyn. 28, 277-308.
26. Mullin, J. A. & Dahm, W. J. A. 2006 Dual-plane stereo particle image velocimetry measurements of velocity gradient tensor fields in turbulent shear flow. Part II. Experimental results. Phys. Fluids 18 (035102), 1-28.
27. Nomura, K. N. & Post, G. K. 1998 The structure and dynamics of vorticity and rate of strain in incompressible homogeneous turbulence. J. Fluid Mech. 377, 65-97.
28. Perry, A. E. & Chong, M. S. 1994 Topology of flow patterns in vortex motions and turbulence. Appl. Sci. Res. 53, 357-374.
29. Richardson, L. F. 1926 Atmospheric diffusion shown on a distance-neighbour graph. Proc. R. Soc. Lond. A 110, 709-737.
30. Ruetsch, G. R. & Maxey, M. R. 1991 Small-scale features of vorticity and passive scalar fields in homogeneous isotropic turbulence. Phys. Fluids A 3 (6), 1587-1597.
31. She, Z. S., Jackson, E. & Orszang, S. A. 1990 Intermittent vortex structures in homogeneous isotropic turbulence. Na tu re 344, 226-228.
32. Siggia, E. D. 1981 Numerical study of small-scale intermittency in three-dimensional turbulence. J. Fluid Mech. 107, 375-406.
33. da Silva, C. & Pereira, J. C. F. 2008 Invariants of the velocity-gradient, rate-of-strain, and rate-of-rotation tensors across the turbulent/nonturbulent interface in jets. Phys. Fluids 20 (055101), 1-18.
34. Sreenivasan, K. R. & Antonia, R. A. 1997 The phenomenology of small-scale turbulence. Annu. Rev. Fluid Mech. 29, 435-472.
35. Tanahashi, M., Iwase, S. & Miyauchi, T. 2001 Appearance and alignment with strain rate of coherent fine scale eddies in turbulent mixing layer. J. Turbulence 2 (6), 1-17.
36. Tao, B., Katz, J. & Meneveau, C. 2002 Statistical geometry of subgrid-scale stresses determined from holographic particle image velocimetry measurements. J. Fluid Mech. 457, 35-78.
37. Taylor, G. I. 1938 Production and dissipation of vorticity in a turbulent fluid. Proc. R. Soc. Lond. A164, 15-23.
38. Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
39. Tsinober, A. 1998 Is concentrated vorticity that important? Eur. J. Mech. B. Fluids 17 (4), 421-449.
40. Tsinober, A. 2000 Vortex stretching versus production of strain/dissipation. In Turbulence Structure and Vortex Dynamics (ed. J. C. R. Hunt & J. C. Vassilicos), pp. 164-191.
41. Cambridge University Press. Tsinober, A., Kit, E. & Dracos, T. 1992 Experimental investigation of the field of velocity gradients in turbulent flows. J. Fluid Mech. 242, 169-192.
42. Tsinober, A., Ortenberg, M. & Shtilman, L. 1999 On depression of nonlinearity in turbulence. Phys. Fluids 11 (8), 2291-2297.
43. Tsinober, A., Shtilman, L. & Vaisburd, H. 1997 A study of properties of vortex stretching and enstrophy generation in numerical and laboratory turbulence. Fluid Dyn. Res. 21, 477-494.
44. Tsurikov, M. 2003 Experimental investigation of the fine-scale structure in turbulent gas-phase jet flows. PhD thesis, University of Texas, Austin, USA.
45. Vincent, A. & Meneguzzi, M. 1991 The spatial and statistical properties of homogenous turbulence. J. Fluid Mech. 225, 1-20.
46. Vincent, A. & Meneguzzi, M. 1994 The dynamics of vorticity tubes in homogeneous turbulence. J. Fluid Mech. 258, 245-254.
47. Zhang, J., Tao, B. & Katz, J. 1997 Turbulent flow measurement in a square duct with hybrid holograhpic PIV. Exp. Fluids 23, 373-381.
48. Zhou, J., Adrian, R. J., Balachandar, S. & Kendall, T. M. 1999 Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387, 353-396.