Statistics of surface renewal of passive scalars in free-surface turbulence

Journal of Fluid Mechanics

Volumn 678, Issue , 2011, Pages 379-416

  Kermani, Alireza ^a   Khakpour, Hamid R ^a   Shen, Lian ^a,b   Igusa, Takeru ^a  

^a Johns Hopkins University   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

Channel flow; turbulent mixing

Indexed keywords

ATMOSPHERIC TEMPERATURE; CHANNEL FLOW; DIFFUSION IN LIQUIDS; PROBABILITY DENSITY FUNCTION; SURFACE PROPERTIES; TURBULENCE;

INTERFACIAL GAS TRANSFER; INTERFACIAL TRANSFER; NON-LINEAR REGRESSION; QUANTITATIVE DESCRIPTION; SKEWED PROBABILITY DENSITY FUNCTION; SURFACE TEMPERATURES; TURBULENT MIXING; VERTICAL ADVECTION;

GASES;

CHANNEL FLOW; CLUSTER ANALYSIS; COMPUTER SIMULATION; DIFFUSION; DOWNWELLING; GAS TRANSPORT; GEOSTATISTICS; LAGRANGIAN ANALYSIS; PROBABILITY DENSITY FUNCTION; SURFACE TEMPERATURE; TURBULENCE; TURBULENT MIXING;

EID: 79960110137     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.118     Document Type: Article

References (70)

1. Atmane, M. A. & George, J. 2002 Gas transfer across a zero-shear surface: a local approach. In Gas Transfer at Water Surfaces (ed. M. A. Donelan, W. M. Drennan, E. S. Saltzman & R. Wanninkhof), pp. 255-259. American Geophysical Union.
2. Banerje e, S. 1990 Turbulence structure and transport mechanisms at interfaces. In Proc. Ninth Intl Heat Transfer Conf., pp. 395-418. Hemisphere.
3. Banerjee, S., Lakehal, D. & Fulgosi, M. 2004 Surface divergence models for scalar exchange between turbulent streams. Intl J. Multiphase Flow 30, 963-977. (Pubitemid 38958341)
4. Banerjee, S., Scott, D. S. & Rhodes, E. 1968 Mass transfer to falling wavy liquid films in turbulent flow. Indust. Engng Chem. Fund. 7, 22-27.
5. Borue, V., Orszag, S. A. & Staroselsky, I. 1995 Interaction of surface waves with turbulence: direct numerical simulations of turbulent open-channel flow. J. Fluid Mech. 286, 1-23.
6. Brumley, B. H. & Jirka, G. H. 1988 Air-water transfer of slightly soluble gases: turbulence, interfacial processes and conceptual models. J. Phys.-Chem. Hydrodyn. 10, 295-319.
7. Campbell, J. A. & Hanratty, T. J. 1982 Mass transfer between a turbulent fluid and a solid boundary: Linear theory. AIChE J. 28, 988-993. (Pubitemid 13464616)
8. Campbell, J. A. & Hanratty, T. J. 1983 Mechanism of turbulent mass transfer at a solid boundary. AIChE J. 29, 221-229. (Pubitemid 13526999)
9. Chan, W. C. & Scriven, L. E. 1970 Absorption into irrotational stagnation flow. Indust. Engng Chem. Fund. 9, 114-120.
10. Chu, C. R. & Jirka, G. H. 1992 Turbulent gas flux measurements below the air-water interface of a grid-stirred tank. Intl J. Heat Mass Transfer 35, 1957-1968.
11. Danckwerts, P. V. 1951 Significance of liquid-film coefficients in gas absorption. Indust. Engng Chem. 43, 1460-1467.
12. Fortescue, G. E. & Pearson, J. R. A. 1967 On gas absorption into a turbulent liquid. Chem. Engng Sci. 22, 1163-1176.
13. Garbe, C. S., Schimpf, U. & Jähne, B. 2004 A surface renewal model to analyze infrared image sequences of the ocean surface for the study of air-sea heat and gas exchange. J. Geophys. Res. 109, C08S15.
14. Handler, R. A., Saylor, J. R., Leighton, R. I. & Rovelstad, A. L. 1999 Transport of a passive scalar at a shear-free boundary in fully developed turbulent open channel flow. Phys. Fluids 11, 2607-2625. (Pubitemid 129308718)
15. Handler, R. A., Swean, T. F., Leighton, R. I. & Swearingen, J. D. 1993 Length scales and the energy balance for turbulence near a free surface. AIAA J. 31, 1998-2007.
16. Harriott, P. 1962 A random eddy modification of the penetration theory. Chem. Engng Sci. 17, 149-154.
17. Hasegawa, Y. & Kasagi, N. 2008 Systematic analysis of high Schmidt number turbulent mass transfer across clean, contaminated and solid interfaces. Intl J. Heat Fluid Flow 29, 765-773.
18. Hasegawa, Y. & Kasagi, N. 2009 Hybrid DNS/LES of high Schmidt number mass transfer across turbulent air-water interface. Intl J. Heat Mass Transfer 52, 1012-1022.
19. Hastie, T., Tibshirani, R. & Friedman, J. 2001 The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer.
20. Herlina & Jirka, G. H. 2008 Experiments on gas transfer at the air-water interface induced by oscillating grid turbulence. J. Fluid Mech. 594, 183-208.
21. Higbie, R. 1935 The rate of absorption of a pure gas into a still liquid during short periods of exposure. Trans. AIChE 31, 365-389.
22. Hunt, J. C. R. & Graham, J. M. R. 1978 Free-stream turbulence near plane boundaries. J. Fluid Mech. 84, 209-235. (Pubitemid 8574499)
23. Jähne, B. & Haußecker, H. 1998 Air-water gas exchange. Annu. Rev. Fluid. Mech. 30, 443-468.
24. Johnk, R. E. & Hanratty, T. J. 1962 Temperature profiles for turbulent flow of air in a pipe. I. The fully developed heat transfer. Chem. Engng Sci. 17, 867-879.
25. Kader, B. A. 1981 Temperature and concentration profiles in fully turbulent boundary layers. Intl J. Heat Mass Transfer 24, 1541-1544.
26. Kasagi, N., Tomita, Y. & Kuroda, A. 1992 Direct numerical simulation of passive scalar field in a turbulent channel flow. J. Heat Transfer 114, 598-606. (Pubitemid 23567950)
27. Kass, R. E. & Raftery, A. E. 1995 Bayes factors. J. Am. Stat. Assoc. 90, 773-795.
28. Kermani, A. 2010 Numerical study of turbulence and scalar transport process in free-surface and multi-phase flows. PhD thesis, Johns Hopkins University, Maryland.
29. Kermani, A. & Shen, L. 2009 Surface age of surface renewal in turbulent interfacial transport. Geophys. Res. Lett. 36, L10605.
30. Khakpour, H. R., Shen, L. & Yue, D. K. P. 2011 Transport of passive scalar in turbulent shear flow under a clean or surfactant-contaminated free surface. J. Fluid Mech. 670, 527-557.
31. Kim, J. 1983 On the structure of wall-bounded turbulent flows. Phys. Fluids 26, 2088-2097.
32. Kim, J. 1988 Investigation of heat and momentum transport in turbulent flows via numerical simulations. In Transport Phenomena in Turbulent Flows: Theory, Experiment, and Numerical Simulation (ed. M. Hirata & N. Kasagi), pp. 715-729. Hemisphere.
33. Kim, J. & Moin, P. 1985 Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59, 308-323.
34. Komori, S., Kurose, R., Iwano, K., Ukai, T. & Suzuki, N. 2010 Direct numerical simulation of wind-driven turbulence and scalar transfer at sheared gas-liquid interfaces. J. Turbul. 11 (32), 1-20.
35. Komori, S., Murakami, Y. & Ueda, H. 1989 The relationship between surface-renewal and bursting motions in an open-channel flow. J. Fluid Mech. 203, 103-123.
36. Komori, S., Nagaosa, R., Murakami, Y., Chiba, S., Ishii, K. & Kuwahara, K. 1993 Direct numerical simulation of three-dimensional open-channel flow with zero-shear gas-liquid interface. Phys. Fluids A 5, 115-125.
37. Lakehal, D., Fulgosi, M., Banerjee, S. & Yadigaroglu, G. 2008a Turbulence and heat exchange in condensing vapor-liquid flow. Phys. Fluids 20, 065101.
38. Lakehal, D., Fulgosi, M. & Yadigaroglu, G. 2008b Direct numerical simulation of condensing stratified flow. J. Heat Transfer 130, 021501.
39. Lakehal, D., Fulgosi, M., Yadigaroglu, G. & Banerjee, S. 2003 Direct numerical simulation of turbulent heat transfer across a mobile, sheared gas-liquid interface. J. Heat Transfer 125, 1129-1139. (Pubitemid 38075186)
40. Lamont, J. C. & Scott, D. S. 1970 An eddy cell model of mass transfer into the surface of turbulent liquid. AIChE J. 16, 513-519.
41. Lin, M., Moeng, C., Tsai, W., Sullivan, P. P. & Belcher, S. E. 2008 Direct numerical simulation of wind-wave generation processes. J. Fluid Mech. 616, 1-30.
42. Liss, P. S. & Slater, P. G. 1974 Flux of gases across the air-sea interface. Nature 247, 181-184.
43. Liu, S., Kermani, A., Shen, L. & Yue, D. K. P. 2009 Investigation of coupled air-water turbulent boundary layers using direct numerical simulations. Phys. Fluids 21, 062108.
44. Lyons, S. L., Hanratty, T. J. & Mclaughlin, J. B. 1991 Direct numerical simulation of passive heat transfer in a turbulent channel flow. Intl J. Heat Mass Transfer 34, 1149-1161.
45. Magnaudet, J. & Calmet, I. 2006 Turbulent mass transfer through a flat shear-free surface. J. Fluid Mech. 553, 155-185.
46. McCready, M. J. & Hanratty, T. J. 1984 A comparison of turbulent mass transfer at gas-liquid and solid-liquid interfaces. In Gas Transfer at Water Surfaces (ed. W. Brutsaert & G. H. Jirka), pp. 283-292. Reidel.
47. McCready, M. J., Vassiliadou, E. & Hanratty, T. J. 1986 Computer simulation of turbulent mass transfer at a mobile interface. AIChE J. 32, 1108-1115. (Pubitemid 16594725)
48. McKenna, S. P. & McGillis, W. R. 2004 The role of free-surface turbulence and surfactants in air-water gas transfer. Intl J. Heat Mass Transfer 47, 539-553. (Pubitemid 37348131)
49. Moin, P. & Mahesh, K. 1998 Direct numerical simulation: A tool in turbulence research. Annu. Rev. Fluid. Mech. 30, 539-578.
50. Münsterer, T. & Jähne, B. 1998 LIF measurements of concentration profiles in the aqueous mass boundary layer. Exp. Fluids 25, 190-196. (Pubitemid 128663094)
51. Na, Y. & Hanratty, T. J. 2000 Limiting behavior of turbulent scalar transport close to a wall. Intl J. Heat Mass Transfer 43, 1794-1758.
52. Na, Y., Papavassiliou, D. V. & Hanratty, T. J. 1999 Use of direct numerical simulation to study the effect of Prandtl number on temperature fields. Intl J. Heat Fluid Flow 20, 187-195.
53. Nagaosa, R. & Handler, R. A. 2003 Statistical analysis of coherent vortices near a free surface in a fully developed turbulence. Phys. Fluids 15, 375-394. (Pubitemid 36281007)
54. Nakajima, M., Fukui, K., Ueda, H. & Mizushina, T. 1980 Buoyancy effects on turbulent transport in combined free and forced convection between vertical parallel plates. Intl J. Heat Mass Transfer 23, 1325-1336.
55. Pa n , Y. & Banerjee, S. 1995 A numerical study of free-surface turbulence in channel flow. Phys. Fluids 7, 1649-1664.
56. Perot, B. & Moin, P. 1995 Shear-free turbulent boundary layers. Part 1. Physical insight into near-wall turbulence. J. Fluid Mech. 295, 199-227.
57. Piomelli, U., Yu, Y. & Adrian, R. J. 1996 Subgrid-scale energy transfer and near-wall turbulence structure. Phys. Fluids 8, 215-224. (Pubitemid 126641174)
58. Rao, K. N., Narasimha, R. & Narayanan, M. A. B. 1971 The 'bursting' phenomenon in a turbulent boundary layer. J. Fluid Mech. 48, 339-352.
59. Rashidi, M., Hetsroni, G. & Banerjee, S. 1991 Mechanisms of heat and mass transport at gas-liquid interfaces. Intl J. Heat Mass Transfer 34, 1799-1810. (Pubitemid 21668604)
60. Schwertfirm, F. & Manhart, M. 2007 DNS of passive scalar transport in turbulent channel flow at high Schmidt numbers. Intl J. Heat Fluid Flow 28, 1204-1214. (Pubitemid 350121051)
61. Shen, L., Triantafyllou, G. S. & Yue, D. K. P. 2001 Mixing of a passive scalar near a free surface. Phys. Fluids 13, 913-926. (Pubitemid 34159637)
62. Shen, L., Yue, D. K. P. & Triantafyllou, G. S. 2004 Effect of surfactants on free-surface turbulent flows. J. Fluid Mech. 506, 79-115. (Pubitemid 38673017)
63. Soloviev, A. V. & Schlussel, P. 1996 Evolution of cool skin and direct air-sea gas transfer coefficient during daytime. Boundary-Layer Meteorol. 77, 45-68. (Pubitemid 26472462)
64. Sugihara, Y. & Tsumori, H. 2005 Surface-renewal eddies at the air-water interface in oscillating-grid turbulence. In Environmental Hydraulics and Sustainable Water Management (ed. J. H. W. Lee & K. M. Lam), pp. 199-205. Taylor and Francis.
65. Tamburrino, A., Aravena, C. & Gulliver, J. S. 2007 Visualization of 2-D divergence on the free surface and its relation to gas transfer. In Transport at the Air-Sea Interface (ed. C. S. Garbe, R. A. Handler & B. J̈ahne), pp. 73-86. Springer.
66. Tamburrino, A. & Gulliver, J. S. 2002 Free-surface turbulence and mass transfer in a channel flow. AIChE J. 48, 2732-2743. (Pubitemid 36172953)
67. Turney, D. E., Smith, W. C. & Banerjee, S. 2005 A measure of near-surface fluid motions that predicts air-water gas transfer in a wide range of conditions. Geophys. Res. Lett. 32, L04607.
68. Zappa, C. J., Asher, W. E., Jessup, A. T., Klinke, J. & Long, S. R. 2004 Microbreaking and the enhancement of air-water transfer velocity. J. Geophys. Res. 109, C08S16.
69. Zhang, C., Shen, L. & Yue, D. K. P. 1999 The mechanism of vortex connection at a free surface. J. Fluid Mech. 384, 207-241.
70. Zhu, Y. & Antonia, R. A. 1993 Temperature dissipation measurements in a fully developed turbulent channel flow. Exp. Fluids 15, 191-199.