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Volumn 41, Issue 11, 2011, Pages 2155-2167

Small-scale spectrum of a scalar field in water: The Batchelor and Kraichnan models

Author keywords

Turbulence

Indexed keywords

BATCHELOR MODEL; EXPERIMENTAL DATA; KRAICHNAN MODEL; MEASURED DATA; RATE OF DISSIPATION; SCALAR FIELDS; TEMPERATURE GRADIENT; TEMPERATURE PROFILES; THEORETICAL MODELS; TURBULENT FLUIDS; TURBULENT KINETIC ENERGY;

EID: 84856083102     PISSN: 00223670     EISSN: None     Source Type: Journal    
DOI: 10.1175/JPO-D-11-025.1     Document Type: Article
Times cited : (24)

References (46)
  • 1
    • 0042827313 scopus 로고    scopus 로고
    • On the Batchelor constant in decaying isotropic turbulence
    • doi:10.1063/1.1577346
    • Antonia, R. A., and P. Orlandi, 2003: On the Batchelor constant in decaying isotropic turbulence. Phys. Fluids, 15, 2084, doi:10.1063/1.1577346.
    • (2003) Phys. Fluids , vol.15 , pp. 2084
    • Antonia, R.A.1    Orlandi, P.2
  • 2
    • 84955741400 scopus 로고
    • Small-scale variation of convected quantities like temperature in turbulent fluid 1. General discussion and the case of small conductivity
    • Batchelor, G., 1959: Small-scale variation of convected quantities like temperature in turbulent fluid. 1. General discussion and the case of small conductivity. J. Fluid Mech., 5, 113-133.
    • (1959) J. Fluid Mech. , vol.5 , pp. 113-133
    • Batchelor, G.1
  • 3
    • 0031177678 scopus 로고    scopus 로고
    • Direct numerical simulations of passive scalars with Pr>1 advected by turbulent flow
    • Bogucki, D., J. A. Domaradzki, and P. K. Yeung, 1997: Direct numerical simulations of passive scalars with Pr>1 advected by turbulent flow. J. Fluid Mech., 343, 111-130.
    • (1997) J. Fluid Mech. , vol.343 , pp. 111-130
    • Bogucki, D.1    Domaradzki, J.A.2    Yeung, P.K.3
  • 5
    • 33646934616 scopus 로고
    • On the spectrum of isotropic temperature fluctuations in an isotropic turbulence
    • Corrsin, S., 1951: On the spectrum of isotropic temperature fluctuations in an isotropic turbulence. J. Appl. Phys., 22, 469-473
    • (1951) J. Appl. Phys. , vol.22 , pp. 469473
    • Corrsin, S.1
  • 6
    • 0000808247 scopus 로고
    • Vertical overturns-A comparison of Thorpe and Ozmidov length scales
    • Dillon, T. M., 1982: Vertical overturns-A comparison of Thorpe and Ozmidov length scales. J. Geophys. Res., 87, 9601-9613
    • (1982) J. Geophys. Res. , vol.87 , pp. 96019613
    • Dillon, T.M.1
  • 7
    • 0000138189 scopus 로고
    • The Batchelor spectrum and dissipation in the upper ocean
    • Dillon, T. M., and D. R. Caldwell, 1980: The Batchelor spectrum and dissipation in the upper ocean. J. Geophys. Res., 85, 1910-1916.
    • (1980) J. Geophys. Res. , vol.85 , pp. 19101916
    • Dillon, T.M.1    Caldwell, D.R.2
  • 8
    • 0021456945 scopus 로고
    • Local isotropy and the decay of turbulence in a stratified fluid
    • Gargett, A. E., T. R. Osborn, and P. W. Nasmyth, 1984: Local isotropy and the decay of turbulence in a stratified fluid. J. Fluid Mech., 144, 231-280.
    • (1984) J. Fluid Mech. , vol.144 , pp. 231280
    • Gargett, A.E.1    Osborn, T.R.2    Nasmyth, P.W.3
  • 9
    • 33646910756 scopus 로고
    • Fine structure of scalar fields mixed by turbulence
    • Gibson, C. H., 1968: Fine structure of scalar fields mixed by turbulence. 2. Spectral theory. Phys. Fluids, 11, 2316-2327.
    • (1968) 2. Spectral theory. Phys. Fluids , vol.11 , pp. 23162327
    • Gibson, C.H.1
  • 10
    • 84856094014 scopus 로고
    • The universal equilibrium spectra of turbulent velocity and scalar fields
    • Gibson, C. H, and W. H. Schwarz, 1963: The universal equilibrium spectra of turbulent velocity and scalar fields. J. FluidMech., 16, 365-384.
    • (1963) J. FluidMech. , vol.16 , pp. 365384
    • Gibson, C.H.1    Schwarz, W.H.2
  • 11
    • 84856112037 scopus 로고
    • Reaction product fluctuations in a sphere wake
    • Gibson, C. H, R. R. Lyon, and I. Hirschsohn, 1970: Reaction product fluctuations in a sphere wake. AIAA J., 8, 1859-1863.
    • (1970) AIAA J. , vol.8 , pp. 18591863
    • Gibson, C.H.1    Lyon, R.R.2    Hirschsohn, I.3
  • 12
    • 0014401371 scopus 로고
    • Spectrum of temperature fluctuations in turbulent flow
    • Grant, H. L., B. A. Hughes, W. M. Vogel, and A. Moilliet, 1968: Spectrum of temperature fluctuations in turbulent flow. J. Fluid Mech., 34, 423-442.
    • (1968) J. Fluid Mech. , vol.34 , pp. 423442
    • Grant, H.L.1    Hughes, B.A.2    Vogel, W.M.3    Moilliet, A.4
  • 13
    • 0033493299 scopus 로고    scopus 로고
    • Uncertainties and limitations in measuring ? and xT
    • Gregg, M. C., 1999: Uncertainties and limitations in measuring ? and xT. J. Atmos. Oceanic Technol., 16, 1483-1490.
    • (1999) J. Atmos. Oceanic Technol. , vol.16 , pp. 14831490
    • Gregg, M.C.1
  • 14
    • 67649964166 scopus 로고    scopus 로고
    • Turbulence, acoustic backscatter, and pelagic nekton in Monterey Bay
    • Gregg, M. C., and J. K. Horne, 2009: Turbulence, acoustic backscatter, and pelagic nekton in Monterey Bay. J. Phys. Oceanogr., 39, 1097- 1114.
    • (2009) J. Phys. Oceanogr. , vol.39 , pp. 1097-1114
    • Gregg, M.C.1    Horne, J.K.2
  • 15
    • 0016462499 scopus 로고
    • 2nd ed. McGraw-Hill
    • Hinze, J. O., 1975: Turbulence. 2nd ed. McGraw-Hill, 790 pp.
    • (1975) Turbulence , pp. 790
    • Hinze, J.O.1
  • 16
    • 1642521828 scopus 로고    scopus 로고
    • Observations of a quasi shear-free lacustrine convective boundary layer: Stratification and its implications on turbulence
    • doi:10.1029/2002JC001440
    • Jonas, T., A. Stips, W. Eugster, and A. Wü est, 2003: Observations of a quasi shear-free lacustrine convective boundary layer: Stratification and its implications on turbulence. J. Geophys. Res., 108, 3328, doi:10.1029/2002JC001440.
    • (2003) J. Geophys. Res. , vol.108 , pp. 3328
    • Jonas, T.1    Stips, A.2    Eugster, W.3    Wü est, A.4
  • 17
    • 0032835349 scopus 로고    scopus 로고
    • Comparison of dissipation of turbulent kinetic energy determined from shear and temperature microstructure
    • Kocsis, O., H. Prandke, A. Stips, A. Simon, and A. Wü est, 1999: Comparison of dissipation of turbulent kinetic energy determined from shear and temperature microstructure. J. Mar. Syst., 21, 67-84.
    • (1999) J. Mar. Syst. , vol.21 , pp. 6784
    • Kocsis, O.1    Prandke, H.2    Stips, A.3    Simon, A.4    Wü est, A.5
  • 18
    • 0001277608 scopus 로고
    • The local structure of turbulence in an incompressible viscous fluid for very large Reynolds number
    • Kolmogorov, A. N., 1941: The local structure of turbulence in an incompressible viscous fluid for very large Reynolds number. C. R. Acad. Sci. USSR, 30, 301.
    • (1941) C. R. Acad. Sci. USSR , vol.30 , pp. 301
    • Kolmogorov, A.N.1
  • 19
    • 33646950376 scopus 로고
    • Small-scale structure of a scalar field convected by turbulence
    • Kraichnan, R. H., 1968: Small-scale structure of a scalar field convected by turbulence. Phys. Fluids, 11, 945-953.
    • (1968) Phys. Fluids , vol.11 , pp. 945953
    • Kraichnan, R.H.1
  • 20
    • 0016082665 scopus 로고
    • Convection of a passive scalar by a quasi-uniform random straining field
    • Kraichnan, R. H, 1974: Convection of a passive scalar by a quasi-uniform random straining field. J. Fluid Mech., 64, 737-762.
    • (1974) J. Fluid Mech. , vol.64 , pp. 737762
    • Kraichnan, R.H.1
  • 21
    • 0004143210 scopus 로고    scopus 로고
    • 4th ed. Academic Press
    • Kundu, P. K., 2008: Fluid Mechanics. 4th ed. Academic Press, 872 pp.
    • (2008) Fluid Mechanics , pp. 872
    • Kundu, P.K.1
  • 22
    • 0032874401 scopus 로고    scopus 로고
    • Variations of thermohaline structure and turbulent mixing on the Black Sea shelf at the beginning of autumn cooling
    • Lozovatsky, I. D., T. M. Dillon, A. Y. Erofeev, and V. N. Nabatov, 1999: Variations of thermohaline structure and turbulent mixing on the Black Sea shelf at the beginning of autumn cooling. J. Mar. Syst., 21, 255-282.
    • (1999) J. Mar. Syst. , vol.21 , pp. 255282
    • Lozovatsky, I.D.1    Dillon, T.M.2    Erofeev, A.Y.3    Nabatov, V.N.4
  • 23
    • 0035106090 scopus 로고    scopus 로고
    • Determining turbulent kinetic energy dissipation from Batchelor curve fitting
    • Luketina, D. A., and R. Imberger, 2001: Determining turbulent kinetic energy dissipation from Batchelor curve fitting. J.Atmos. Oceanic Technol., 18, 100-113.
    • (2001) J. Atmos. Oceanic Technol. , vol.18 , pp. 100113
    • Luketina, D.A.1    Imberger, R.2
  • 24
    • 0036671230 scopus 로고    scopus 로고
    • Microstructure estimates of turbulent salinity flux and the dissipation spectrum of salinity
    • Nash, J. D., and J. N. Moum, 2002: Microstructure estimates of turbulent salinity flux and the dissipation spectrum of salinity. J. Phys. Oceanogr., 32, 2312-2333.
    • (2002) J. Phys. Oceanogr. , vol.32 , pp. 23122333
    • Nash, J.D.1    Moum, J.N.2
  • 25
    • 0004221696 scopus 로고
    • Ph.D. dissertation, British Columbia University
    • Nasmyth, P. W., 1970: Oceanic turbulence. Ph.D. dissertation, British Columbia University, 69 pp.
    • (1970) Oceanic turbulence , pp. 69
    • Nasmyth, P.W.1
  • 26
    • 0000366662 scopus 로고
    • Determination of the rate of dissipation of turbulent energy from simultaneous temperature and velocity shear microstructure measurements
    • Oakey, N. S., 1982: Determination of the rate of dissipation of turbulent energy from simultaneous temperature and velocity shear microstructure measurements. J. Phys. Oceanogr., 12, 256-271.
    • (1982) J. Phys. Oceanogr. , vol.12 , pp. 256271
    • Oakey, N.S.1
  • 27
    • 0003040468 scopus 로고
    • Structure of the temperature field in a turbulent flow
    • Obukhov, A. M., 1949: Structure of the temperature field in a turbulent flow. Izv. Akad. Nauk SSSR, Ser. Geogr. Geofiz., 13, 58-69.
    • (1949) Izv. Akad. Nauk SSSR, Ser. Geogr. Geofiz. , vol.13 , pp. 5869
    • Obukhov, A.M.1
  • 28
    • 0002290683 scopus 로고
    • Estimates of the local-rate of vertical diffusion from dissipation measurements
    • Osborn, T. R., 1980: Estimates of the local-rate of vertical diffusion from dissipation measurements. J. Phys. Oceanogr., 10, 83-89.
    • (1980) J. Phys. Oceanogr. , vol.10 , pp. 8389
    • Osborn, T.R.1
  • 30
    • 0000494501 scopus 로고
    • Energy spectrum of isotropic turbulence at large wave-numbers
    • Panchev, S., and D. Kesich, 1969: Energy spectrum of isotropic turbulence at large wave-numbers. C. R. Acad. Bulg. Sci., 22, 627.
    • (1969) C. R. Acad. Bulg. Sci. , vol.22 , pp. 627
    • Panchev, S.1    Kesich, D.2
  • 31
    • 0036752881 scopus 로고    scopus 로고
    • Turbulent patch identification in microstructure profiles: A method based on wavelet denoising and Thorpe displacement analysis
    • Piera, J., E. Roget, and J. Catalan, 2002: Turbulent patch identification in microstructure profiles: A method based on wavelet denoising and Thorpe displacement analysis. J. Atmos. Oceanic Technol., 19, 1390-1402.
    • (2002) J. Atmos. Oceanic Technol. , vol.19 , pp. 13901402
    • Piera, J.1    Roget, E.2    Catalan, J.3
  • 32
    • 80455150568 scopus 로고    scopus 로고
    • Statistics of Microstructure Patchiness in a Stratified Lake
    • doi:10.1029/2010JC006911, in press
    • Planella, J., E. Roget, and I. Lozovatsky, 2011: Statistics of Microstructure Patchiness in a Stratified Lake. J. Geophys. Res., doi:10.1029/2010JC006911, in press.
    • (2011) J. Geophys. Res.
    • Planella, J.1    Roget, E.2    Lozovatsky, I.3
  • 33
    • 84856079284 scopus 로고    scopus 로고
    • Marine Turbulence: Theories, Observations and Models H. Baumert, J. Simpson, and J. Sü ndermann, Eds., Cambridge University Press
    • Prandke, H., 2005: Microstructure sensors. Marine Turbulence: Theories, Observations and Models, H. Baumert, J. Simpson, and J. Sü ndermann, Eds., Cambridge University Press, 101-109.
    • (2005) Microstructure sensors , pp. 101-109
    • Prandke, H.1
  • 34
    • 0031826257 scopus 로고    scopus 로고
    • Test measurements with an operational microstructure-turbulence profiler: Detection limit of dissipation rates
    • Prandke, H., and A. Stips, 1998: Test measurements with an operational microstructure-turbulence profiler: Detection limit of dissipation rates. Aquat. Sci., 60, 191-209.
    • (1998) Aquat. Sci. , vol.60 , pp. 191209
    • Prandke, H.1    Stips, A.2
  • 35
    • 0033958741 scopus 로고    scopus 로고
    • Smallscale turbulence and vertical mixing in Lake Baikal
    • Ravens, T. M., O. Kocsis, A. Wü est, and N. Granin, 2000: Smallscale turbulence and vertical mixing in Lake Baikal. Limnol. Oceanogr., 45, 159-173.
    • (2000) Limnol. Oceanogr. , vol.45 , pp. 159173
    • Ravens, T.M.1    Kocsis, O.2    Wü est, A.3    Granin, N.4
  • 36
    • 0030813161 scopus 로고    scopus 로고
    • Internal seiche climatology in a small lake where transversal and second vertical modes are usually observed
    • Roget, E., G. Salvade, and F. Zamboni, 1997: Internal seiche climatology in a small lake where transversal and second vertical modes are usually observed. Limnol. Oceanogr., 42, 663-673.
    • (1997) Limnol. Oceanogr. , vol.42 , pp. 663673
    • Roget, E.1    Salvade, G.2    Zamboni, F.3
  • 37
    • 33748046127 scopus 로고    scopus 로고
    • Microstructure measurements in natural waters: Methodology and applications
    • doi:10.1016/j.pocean. 2006.07.003
    • Roget, E., I. Lozovatsky, X. Sanchez, and M. Figueroa, 2006: Microstructure measurements in natural waters: Methodology and applications. Prog.Oceanogr., 70, 126-148, doi:10.1016/j.pocean. 2006.07.003.
    • (2006) Prog. Oceanogr. , vol.70 , pp. 126-148
    • Roget, E.1    Lozovatsky, I.2    Sanchez, X.3    Figueroa, M.4
  • 38
    • 0034492365 scopus 로고    scopus 로고
    • Maximum likelihood spectral fitting: The Batchelor spectrum
    • Ruddick, B., A. Anis, and K. Thompson, 2000: Maximum likelihood spectral fitting: The Batchelor spectrum. J. Atmos. Oceanic Technol., 17, 1541-1555.
    • (2000) J. Atmos. Oceanic Technol. , vol.17 , pp. 15411555
    • Ruddick, B.1    Anis, A.2    Thompson F, K.3
  • 39
    • 0035074547 scopus 로고    scopus 로고
    • Mixing and turbulent fluxes in the metalimnion of a stratified lake
    • Saggio, A., and J. Imberger, 2001: Mixing and turbulent fluxes in the metalimnion of a stratified lake. Limnol. Oceanogr., 46, 392-409.
    • (2001) Limnol. Oceanogr. , vol.46 , pp. 392409
    • Saggio, A.1    Imberger, J.2
  • 40
    • 34547868466 scopus 로고    scopus 로고
    • Microstructure measurements and heat flux calculations of a triple-diffusive process in a lake within the diffusive layer convection regime
    • doi:10.1029/2006JC003750
    • Sanchez, X., and E. Roget, 2007: Microstructure measurements and heat flux calculations of a triple-diffusive process in a lake within the diffusive layer convection regime. J. Geophy. Res., 112, C02012, doi:10.1029/2006JC003750.
    • (2007) J. Geophy. Res. , vol.112
    • Sanchez, X.1    Roget, E.2
  • 41
    • 0035415573 scopus 로고    scopus 로고
    • The efficiency of mixing in turbulent patches: Inferences from direct simulations and microstructure observations
    • Smyth, W. D., J. N. Moum, and D. R. Caldwell, 2001: The efficiency of mixing in turbulent patches: Inferences from direct simulations and microstructure observations. J. Phys. Oceanogr., 31, 1969-1992.
    • (2001) J. Phys. Oceanogr. , vol.31 , pp. 19691992
    • Smyth, W.D.1    Moum, J.N.2    Caldwell, D.R.3
  • 42
    • 0002964013 scopus 로고    scopus 로고
    • The passive scalar spectrum and the Obukhov-Corrsin constant
    • Sreenivasan, K. R., 1996: The passive scalar spectrum and the Obukhov-Corrsin constant. Phys. Fluids, 8, 189-196.
    • (1996) Phys. Fluids , vol.8 , pp. 189196
    • Sreenivasan, K.R.1
  • 43
    • 73149113288 scopus 로고    scopus 로고
    • An Evaluation of xT estimation techniques: Implications for batchelor fitting and ε
    • Steinbuck, J. V., M. T. Stacey, and S. G. Monismith, 2009: An Evaluation of xT estimation techniques: Implications for batchelor fitting and ε. J. Atmos. Oceanic Technol., 26, 1652- 1662.
    • (2009) J. Atmos. Oceanic Technol. , vol.26 , pp. 1652-1662
    • Steinbuck, J.V.1    Stacey, M.T.2    Monismith, S.G.3
  • 44
    • 33748055153 scopus 로고    scopus 로고
    • SCAMP: Measuring turbulence in estuaries, lakes and coastal waters
    • Stevens, C., M. Smith, and A. Ross, 1999: SCAMP: Measuring turbulence in estuaries, lakes and coastal waters. Water Atmos., 7, 20-21.
    • (1999) Water Atmos. , vol.7 , pp. 2021
    • Stevens, C.1    Smith, M.2    Ross, A.3
  • 46
    • 0029752729 scopus 로고    scopus 로고
    • Comparison of diapycnal diffusivity measured by tracer and microstructure techniques
    • Wüest, A., D. C. van Senden, J. Imberger, G. Piepke, and M. Gloor, 1996: Comparison of diapycnal diffusivity measured by tracer and microstructure techniques. Dyn. Atmos. Oceans, 24, 27-39.
    • (1996) Dyn. Atmos. Oceans , vol.24 , pp. 2739
    • Wüest, A.1    van Senden, D.C.2    Imberger, J.3    Piepke, G.4    Gloor, M.5


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