The energy and temperature dissipation rates. The budget equation: ● Turbulent kinetic energy ● Turbulent motion ● Potential energy ● Molecular diffusion.

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Presentation transcript:

The energy and temperature dissipation rates. The budget equation: ● Turbulent kinetic energy ● Turbulent motion ● Potential energy ● Molecular diffusion dissipation The budget equation: ● Variance of thermal anomalies ● Turbulent heat flux ● Molecular heat diffusion where D is thermal diffusivity,

Turbulent lengthscales

Batchelor spectrum where Small-scale behaviour of passively convected, diffusive scalars in the presence of turbulence.

Brunt–Väisälä frequency ∆V∆V ● ∆V does not strive to return to initial position → unstable stratification ● ∆V strive to return to initial position → stable stratification Frequancy of the inertianal oscillations of the volume of water in case of stable stratification of the ocean: - Brunt–Väisälä frequency

Thrope scale Thrope displacement: Thrope scale: Thrope scale scale is proportional to the mean eddy size as long as the mean horizontal density gradient is much smaller than vertical gradient

Osborn's method Turbulent production Dissipation Work against buoyancy Richardson flux number: Critical flux Richardson number — maximum value of R f, above which the turbulent cannot appear. R fcrit = 0.15 (Ellison 1957)

Osborn's method Buoyancy flux : Buoyancy fluctuations: Coefficient of eddy diffusivity:,

Self Contained Autonomus MicroProfiler (SCAMP) manufactured by Presecion Measurement Engineering, California Measurements on a small scale (≈ 1mm) Frequency measures: 100Hz Light ≈ 6kg Move Free (fall and rise) Travel speed ≈ 10cm/s Maximum depth: 100m

SCAMP SENSORS Two Thermometrics FP07 fast- response (time constant ∼ 7ms) thermistors Temperature (Thermometrics T1201 thermistor, time constant ∼ ms) and conductivity (PME 4-electrode ceramic, spatial resolution ∼ cm) sensor pair Four-electrode microconductivity sensor (spatial resolution ∼ mm) P ressure sensor (Keller PSI PAA-10)

Estimation of kb.

Segmentation 2 methods: - Complex, statistical- stationarity, based-methods (ddt) - Small fixed-size bins (scans)

Profile 11SEP Calm conditions. Diurnal thermocline.

Profile 23SEP Calm morning after wind night conditions (6-7 m/s)

Profile 23SEP Wind conditions (wind speed = 5 m/s) Example of the spectrum in the wind mixed layer (Luketina, Imberger 2001) Spectrum from profile 23SEP depth 1 — 2 m

Profile 23SEP Wind conditions (wind speed = 5 m/s)

Profile 20SEP «Step» temperature profile.

SCAMP Matlab program modifications by Hodges et al Original files.raw Metadat a.xls Matlab programs.m Convert ed files.mat Plots.jpg

Conclusions Big values of coefficient of eddy diffusivity (0,1 — 1) are observed in profile, taken during the wind conditions at depth 1 — 5 m with sizes of vertical overturnes in the order of 1 m. Also these layer is charactizied by large values of turbulence dissipation rate (up to ) In diurnal thermocline the values of Kb are estimated as and sizes of the the overturnes in order 0,01 with dissipation rate In the regions of the seasonal thermocline decrease to