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Explore the dynamic interplay of aggregations, turbulence, and net dissipation in Monterey Bay. Discuss the impacts of biomixing on global primary production and the behavior of fish schools. Gain insights into the estimation of overturns and mixing efficiency in marine environments.
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Biomixing in Monterey BayMichael Gregg & John Horne • Some Biomixing Background • Aggregations & turbulence • Turbulence particulars • Net dissipation & diffusivity • Discussion Indebted to Jack Miller, Dave Winkel, Steve Bayer, Glenn Carter, Andrew Cookson; Capt Eric Buck and his crew on RV Revelle
Bulk Energetics Estimate ofDiapycnal Diffusivity, Kr, by Biomixing • Estimated that 1% of 62.7 TW global primary production produces mixing • Assuming G = 0.2 (mixing efficiency) • Distributing 1 TW of biomixing below euphotic zone in upper 3 km Kr = 2 x 10-5 m2/s Dewar (2006)
Fish School • Aggregation – fish concentration • Schools – aggregations with uniform spacing and behavior Strobe photo of anchovy school from free-fall camera (Graves, 1977)
Work by Fish in Schools • Work by single swimmer: e = u D [W] • e = (e / rh) (Nf/ V) {h is efficiency} = (1.3 x 10-5 M1.39 / h) (Nf / V) [W / kg] • Fish density inversely related to body mass, Nf / V = 0.64 M-1.2 • e ≈ 10-5 [W / kg] regardless of mass, i.e., schools of whales and copepods produce the same average dissipation rates
Krill in Saanich Inlet Kunze et al. (2006)
Kunze et al. (2006) Continued • Kr increased from 2 x 10-6 to 4-40 x 10-4 m2/s, using G = 0.2 • Speculated on possible global significance • In response: • Rippeth et al. (2007) failed to find diurnal increase • Visser (2007) argued that organisms cannot produce overturns larger than themselves. Adapting Richardson’s 4/3 law obtained G = (LThorpe/Lozmidov)4/3 where G is the mixing efficiency
AESOP – August 2006 • Surveying mixing in the • bay • Microstructure lines • repeated for 12.5 hours • RV Revelle
Sv = 10log10(p2scattered/p2incident) • Sv - Volume • Backscattering • Strength
MMP 15017 ReB = e / nN2
Estimating overturns from Temperature Nearly linear TS Over 30-65 m
Thorpe & Ozmidov Scales in Aggregation • Loz = (e/N2)1/3 • Lth from FP07 • Lth = 0.8 Loz • (Dillon, 1982)
Spectra of Dissipation-scale Shear MMP 15017 MMP 15018
Spectra of Dissipation-scale Velocity MMP 15017 MMP 15018
Dissipation-scale Temperature-Gradient Spectra MMP 15017 MMP 15018
Thermal Diffusivity • Rate of thermal dissipation of temperature variability • Cox number • Thermal diffusivity: KT = C kT
Mixing Efficiency, G • Assuming KT = C kT= Kr = Ge / N2 G = C kTN2 / e • Literature: 0.24 (Oakey, 1982), 0.18 (Gregg et al., 1986), 0.15-0.20 (Moum, 1996) • Osborn (1980) assumed 0.2 • G: 0.20, 0.33, 0.24, 0.0078, 0.0026, 0.0015, 0.0019, 0.20, 0.11, 0.0016, 0.0049, 0.02, 0.0012, 0.0014
Conclusions • Largest Aggregations: dz = 60 m, dx = 200 m, • e = 10-6 – 10-5 W/kg, 10 to 1000 times bkg • Overturns (Thorpe scale) << Ozmidov scale • Velocity & Shear spectra narrower than universal spectra • Mixing efficiency, G ≈ 1% of typical values • Negligible net effect of mixing in aggregations
Discussion • Small # samples & probably only 1 species • Extended sections with e ≈ 10-5 consistent with Huntley & Zhou (2004) prediction & Kunze et al. (2006) observation of krill • Visser (2007) prediction of low efficiency prescient even if his rationale is less so. G = Lth2/Loz2 (Visser, 2006) may be upper bound as
Cruising Fish Shed Vertical Vortices • Juvenile mullet, 0.12 m long, swimming in a tank • 2-dimensional particle velocimetry • Two vortex rings per tailbeat cycle with a jet between them • Maximum velocity, 91 mm/s in 2nd vortex from tail • Fish density, Nf/V = 100, would give e = 5.6 x 10-5 W / kg Muller et al. (1997), Videler et al. (2002)
Discussion Continued • Small overturning scaleslikely result of turbulent production by nearly vertical tail vortices – 3d motions smaller than vortex dia. • Kunze’s finding may result from krill vertical motions rather than horizontal swimming Fini