Lagrangian acceleration measurements in convective thermal turbulence

Journal of Fluid Mechanics

Volumn 692, Issue , 2012, Pages 395-419

  Ni, Rui ^a   Huang, Shi Di ^a   Xia, Ke Qing ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

homogeneous turbulence; isotropic turbulence; turbulent convection

Indexed keywords

ACCELERATION; BUOYANCY; COMPUTATIONAL COMPLEXITY; LAGRANGE MULTIPLIERS; PRANDTL NUMBER; REYNOLDS NUMBER; THERMAL PLUMES; TURBULENCE; TURBULENT FLOW;

CORRELATION FUNCTION; HOMOGENEOUS AND ISOTROPIC TURBULENCE; HOMOGENEOUS TURBULENCE; ISOTROPIC TURBULENCE; LAGRANGIAN ACCELERATION; PARTICLE TRACKING VELOCIMETRY; STRETCHED EXPONENTIAL; TURBULENT CONVECTION;

ACCELERATION MEASUREMENT;

ACCELERATION; CONVECTION; FLOW VELOCITY; FLUID MECHANICS; LAGRANGIAN ANALYSIS; PARAMETERIZATION; QUANTITATIVE ANALYSIS; RAYLEIGH NUMBER; REYNOLDS NUMBER; THEORETICAL STUDY; TURBULENCE; TURBULENT FLOW; VELOCITY PROFILE; VORTICITY;

EID: 84863166635     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.520     Document Type: Article

References (57)

1. ADRIAN, R. J. & YAO, C.-S. 1985 Pulsed laser technique application to liquid and gaseous flows and the scattering power of seed materials. Appl. Opt. 24, 44-52. (Pubitemid 15159386)
2. AHLERS, G., GROSSMANN, S. & LOHSE, D. 2009 Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection. Rev. Mod. Phys. 81, 503-537.
3. AHLERS, G. & XU, X. 2001 Prandtl-number dependence of heat transport in turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 86, 3320.
4. CALZAVARINI, E., LOHSE, D., TOSCHI, F. & TRIPICCIONE, R. 2005 Rayleigh and Prandtl number scaling in the bulk Rayleigh-Bénard convection. Phys. Fluids 17, 055107.
5. CASTAING, B., GUNARATNE, G., HESLOT, F., KADANOFF, L. P., LIBCHABER, A., THOMAE, S., WU, X.-Z., ZALESKI, S. & ZANETTI, G. 1989 Scaling of hard thermal turbulence in Rayleigh-Bénard convection. J. Fluid Mech. 204, 1.
6. EMRAN, M.-S. & SCHUMACHER, J. 2010 Lagrangian tracer dynamics in a closed cylindrical turbulent convection cell. Phys. Rev. E 82, 016303.
7. FALKOVICH, G., FOUXON, A. & STEPANOV, M. G. 2002 Acceleration of rain initiation by cloud turbulence. Nature 419, 151-154. (Pubitemid 35025441)
8. FUNFSCHILLING, D., BROWN, E., NIKOLAENKO, A. & AHLERS, G. 2005 Heat transport by turbulent Rayleigh-Bénard convection in cylindrical samples with aspect ratio one and larger. J. Fluid Mech. 536, 145-154. (Pubitemid 41174787)
9. GASTEUIL, Y., SHEW, W. L., GIBERT, M., CHILLÁ, F., CASTAING, B. & PINTON, J.-F. 2007 Lagrangian temperature, velocity, and local heat flux measurement in Rayleigh-Bénard convection. Phys. Rev. Lett. 99, 234302.
10. GOTOH, T. & FUKAYAMA, D. 2001 Pressure spectrum in homogeneous turbulence. Phys. Rev. Lett. 86, 3775.
11. HEISENBERG, W. 1948 Zur statistichen Theorie der Turbulenz. Z. Phys. 124, 628-657.
12. KOSTINSKI, A. B. & SHAW, R. A. 2005 Fluctuations and luck in droplet growth by coalescence. Bull. Am. Meteorol. Soc. 86, 235-244. (Pubitemid 40377729)
13. LA PORTA, A., VOTH, G. A., CRAWFORD, A. M., ALEXANDER, J. & BODENSCHATZ, E. 2001 Fluid particle accelerations in fully developed turbulence. Nature 409, 1017-1019. (Pubitemid 32204048)
14. LOHSE, D. & TOSCHI, F. 2003 Ultimate state of thermal convection. Phys. Rev. Lett. 90, 034502.
15. LOHSE, D. & XIA, K.-Q 2010 Small-scale properties of turbulent Rayleigh-Bénard convection. Annu. Rev. Fluid Mech. 42, 335-364.
16. LÜTHI, B. 2003 Some aspects of strain, vorticity, and material element dynamics as measured with 3D particle tracking velocimetry in a turbulent flow. PhD thesis, Technische Wissenschaften ETH Zürich.
17. MONIN, A. S. & YAGLOM, A. M. 1975 Statistical Fluid Mechanics. MIT Press.
18. MORDANT, N., CRAWFORD, A. M. & BODENSCHATZ, E. 2004a Experimental Lagrangian acceleration probability density function measurement. Physica D 193, 245-251.
19. MORDANT, N., CRAWFORD, A. M. & BODENSCHATZ, E. 2004b Three-dimensional structure of the Lagrangian acceleration in turbulent flows. Phys. Rev. Lett. 93, 214501.
20. MORDANT, N., LÉVÊQUE, E. & PINTON, J.-F. 2004c Experimental and numerical study of the Lagrangian dynamics of high Reynolds turbulence. Phys. Rev. Lett. 6, 116.
21. MORDANT, N., METZ, P., MICHEL, O. & PINTON, J.-F. 2001 Measurement of Lagrangian velocity in fully developed turbulence. Phys. Rev. Lett. 87, 214501.
22. MORDANT, N., METZ, P., PINTON, J.-F. & MICHEL, O. 2005 Acoustical technique for Lagrangian velocity measurement. Rev. Sci. Instrum. 76, 025105.
23. MORDANT, N., DELOUR, J., LÉVEQUE, E., ARNÉODO, A. & PINTON, J.-F. 2002 Long time correlations in Lagrangian dynamics: a key to intermittency in turbulence. Phys. Rev. Lett. 89, 254502.
24. NI, R., HUANG, S.-D. & XIA, K.-Q. 2011 Local energy dissipation rate balances local heat flux in the centre of turbulent thermal convection. Phys. Rev. Lett. 107, 174503.
25. NIEMELA, J. J., SKRBEK, L., SREENIVASAN, K. R. & DONELLY, R. J. 2000 Turbulent convection at very high Rayleigh numbers. Nature 404, 837-840. (Pubitemid 30230328)
26. QIU, X.-L., SHANG, X.-D., TONG, P. & XIA, K.-Q. 2004 Velocity oscillations in turbulent Rayleigh-Bénard convection. Phys. Fluids 16, 412-423. (Pubitemid 38306067)
27. QURESHI, N. M., BOURGOIN, M., BAUDER, C., CARTELLIER, A. & GAGNE, Y. 2007 Turbulent transport of material particles: an experimental study of finite size effects. Phys. Rev. Lett. 99, 184502.
28. READE, W. C. 1998 Direct numerical simulation of turbulent aerosol coagulation. PhD thesis, The Pennsylvania State University.
29. SAWFORD, B. 2001 Turbulent relative dispersion. Annu. Rev. Fluid Mech. 33, 289-317.
30. SAWFORD, B. L., YEUNG, P. K., BORGAS, M. S., VEDULA, P., LA PORTA, A., CRAWFORD, A. M. & BODENSCHATZ, E. 2003 Conditional and unconditional acceleration statistics in turbulence. Phy. Fluids 15, 3478.
31. SCHUMACHER, J. 2008 Lagrangian dispersion and heat transport in convective turbulence. Phys. Rev. Lett. 100, 134502.
32. SHANG, X.-D., QIU, X.-L., TONG, P. & XIA, K.-Q. 2003 Measured local heat transport in turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 90, 074501.
33. SHANG, X.-D, TONG, P. & XIA, K.-Q. 2008 Scaling of the local convective heat flux in turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 100, 244503.
34. SHEW, W. L., GASTEUIL, Y., GIBERT, M., METZ, P. & PINTON, J.-F. 2007 Instrumented tracer for Lagrangian measurements in Rayleigh-Bénard convection. Rev. Sci. Instrum. 78, 065105.
35. SHRAIMAN, B.-I. & SIGGIA, E.-D. 1990 Heat transport in high-Rayleigh number convection. Phys. Rev. A 42, 3650-3653.
36. SHRAIMAN, B.-I. & SIGGIA, E.-D. 2000 Scalar turbulence. Nature 405, 639-646.
37. SIGGIA, E.-D. 1994 High Rayleigh number convection. Annu. Rev. Fluid Mech. 26, 137-168.
38. SUN, C., XIA, K.-Q. & TONG, P. 2005 Three-dimensional flow structures and dynamics of turbulent thermal convection in a cylindrical cell. Phys. Rev. E 72 (2), 026302.
39. SUN, C., ZHOU, Q. & XIA, K.-Q. 2006 Cascades of velocity and temperature fluctuations in buoyancy-driven thermal turbulence. Phys. Rev. Lett. 97 (14), 144504.
40. TAYLOR, G. I. 1921 Diffusion by continuous movements. Proc. Lond. Math. Soc. 20, 196-211.
41. VEDULA, P. & YEUNG, P. K. 1999 Similarity scaling of acceleration and pressure statistics in numerical simulations of isotropic turbulence. Phys. Fluids 11, 1208.
42. VIRANT, M. & DRACOS, T. 1997 3D PTV and its application on Lagrangian motion. Meas. Sci. Technol. 8, 1539-1552. (Pubitemid 127558056)
43. VOLK, R., MORDANT, N., VERHILLE, G. & PINTON, J.-F. 2008 Laser Doppler measurement of inertial particle and bubble accelerations in turbulence. Europhys. Lett. 81, 34002.
44. VOTH, G. A., LA PORTA, A., CRAWFORD, A. M., ALEXANDER, J. & BODENSCHATZ, E. 2002 Measurement of particle accelerations in fully developed turbulence. J. Fluid Mech. 469, 121-160. (Pubitemid 35225116)
45. VOTH, G. A., LA PORTA, A., CRAWFORD, A. M., BODENSCHATZ, E., WARD, C. & ALEXANDER, J. 2001 A silicon strip detector system for high resolution particle tracking in turbulence. Rev. Sci. Instrum. 72, 4348-4353.
46. WILLNEFF, J. 2003 A spatio-temporal matching algorithm for 3D particle tracking velocimetry. PhD thesis, Technische Wissenschaften ETH Zürich.
47. XI, H.-D., LAM, S. & XIA, K.-Q. 2004 From laminar plumes to organized flows: the onset of large-scale circulation in turbulent thermal convection. J. Fluid Mech. 503, 47-56. (Pubitemid 38463296)
48. XI, H.-D. & XIA, K.-Q. 2008 Azimuthal motion, reorientation, cessation and reversal of the large-scale circulation in turbulent thermal convection: a comparison between aspect ratio one and one-half geometries. Phys. Rev. E 78, 036326.
49. XIA, K.-Q. 2011 How heat transfer efficiencies in turbulent thermal convection depend on internal flow modes. J. Fluid Mech. 676, 1-4.
50. XIA, K.-Q., LAM, S. & ZHOU, S.-Q. 2002 Heat-flux measurement in high-Prandtl-number turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 88, 064501.
51. XIA, K.-Q. & LUI, S.-L. 1997 Turbulent thermal convection with an obstructed sidewall. Phys. Rev. Lett. 79, 5006.
52. YAGLOM, A. M. 1949 On the acceleration field in a turbulent flow. C. R. Akad. URSS 67 (5), 795-798.
53. YEUNG, P.-K. 2002 Lagrangian investigations of turbulence. Annu. Rev. Fluid Mech. 34, 115142.
54. YEUNG, P. K. & POPE, S. B. 1989 Lagrangian statistics from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 207, 531-586. (Pubitemid 20611080)
55. ZHOU, Q., SUN, C. & XIA, K.-Q. 2007 Morphological evolution of thermal plumes in turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 98, 074501.
56. ZHOU, Q., SUN, C. & XIA, K.-Q 2008 Experimental investigation of homogeneity, isotropy, and circulation of the velocity field in buoyancy-driven turbulence. J. Fluid Mech. 598, 361-372. (Pubitemid 351337871)
57. ZHOU, Q., XI, H.-D., ZHOU, S.-Q., SUN, C. & XIA, K.-Q. 2009 Oscillations of the large-scale circulation in turbulent Rayleigh-Bénard convection: the sloshing mode and its relationship with the torsional mode. J. Fluid Mech. 630, 367-390.