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Fourth Study Conference on BALTEX Scala Cinema Gudhjem

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A similar criteri<strong>on</strong> was also adopted for growing sea. For<br />

this data subset the roughness length z0 divided by the<br />

standard deviati<strong>on</strong> of the surface elevati<strong>on</strong> was plotted as a<br />

functi<strong>on</strong> of wave age, u */c p. Drennan et al. (2002) had<br />

shown that data for growing sea gathered from several<br />

oceanic experiments collapse in this representati<strong>on</strong>, and it<br />

was very satisfactory to find that our Östergarnsholm data<br />

did so as well. Plotting the drag coefficient C D against u */c p<br />

for the general neutral case, clearly showed that a<br />

significant ordering of the data in bands according to E 1/E 2<br />

occurs, i.e. the wave influence is governed by two<br />

independent parameters, u */c p and E 1/E 2.<br />

4. Unstable c<strong>on</strong>diti<strong>on</strong>s, swell and inactive turbulence.<br />

It was dem<strong>on</strong>strated in Smedman et al. (1999) that during<br />

c<strong>on</strong>diti<strong>on</strong>s of pr<strong>on</strong>ounced swell having roughly the same<br />

directi<strong>on</strong> as the near-surface wind, the flux of momentum at<br />

the surface is str<strong>on</strong>gly reduced, giving c<strong>on</strong>sequently a small<br />

value for u *. This was shown to be due to upward transport<br />

of momentum by the l<strong>on</strong>g waves. The shorter waves still<br />

produce some drag, causing an ‘ordinary’ downward<br />

transport of momentum. Sometimes the upward transport<br />

dominates, so that the net transport is positive. This means<br />

that even for cases with a small positive heat flux, the value<br />

of –L, where L is the Obukhov length will also be small,<br />

giving large negative values in the unstable surface layer of<br />

z/L.<br />

In an earlier study in similar c<strong>on</strong>diti<strong>on</strong>s, based <strong>on</strong> a<br />

combinati<strong>on</strong> of airborne and tower-mounted measurements,<br />

it was shown that turbulence of boundary-layer scale was<br />

produced at the top of the unstable boundary layer (at<br />

around 1000 m) and brought down to the surface layer by<br />

the pressure transport term. In the surface layer it<br />

c<strong>on</strong>tributed to the turbulence level but not to the shearing<br />

stress, leading thus to excessive values of dimensi<strong>on</strong>less<br />

standard deviati<strong>on</strong> of the wind comp<strong>on</strong>ents. It was<br />

c<strong>on</strong>cluded that this mechanism is identical to Townsend’s<br />

(1961) ‘inactive’ turbulence. Analysis of the turbulence<br />

kinetic energy budget gave the same c<strong>on</strong>clusi<strong>on</strong>: energy<br />

was brought down from higher layers into the surface layer<br />

by the pressure transport term.<br />

As discussed in Rutgerss<strong>on</strong> et al. (2001) in spite of the fact<br />

that the heat flux may be quite small, the turbulence<br />

structure of the unstable MABL resembles that of a BL in<br />

the state of free c<strong>on</strong>vecti<strong>on</strong>, giving spectra that scale with<br />

the depth of the entire c<strong>on</strong>vective boundary layer, zi.<br />

Wind comp<strong>on</strong>ent spectra in the unstable MABL are very<br />

sensitive to the wave state. The wave signal is clearly seen<br />

in spectra for the vertical comp<strong>on</strong>ent; the wave influence is<br />

transferred to the horiz<strong>on</strong>tal comp<strong>on</strong>ent spectra and to<br />

higher frequencies by the cascade process. This may result<br />

in –5/3 slope at high enough frequency, but the ratio S w/S u<br />

is found to be around 1.0 or 1.1 instead of 1.3 as predicted<br />

for local isotropy. It was also dem<strong>on</strong>strated that for growing<br />

sea and near-neutral c<strong>on</strong>diti<strong>on</strong>s, wind comp<strong>on</strong>ent spectra<br />

are identical to those found during similar c<strong>on</strong>diti<strong>on</strong>s over<br />

land, including having the predicted 4/3 ratio for Sw/S u.<br />

5. General features of the stable MABL<br />

It has been shown that sometimes when the atmospheric<br />

stratificati<strong>on</strong> is stable, a regime with ‘quasi-fricti<strong>on</strong>al<br />

decoupling’ occurs at Östergarnsholm. A physical<br />

mechanism that probably explains this phenomen<strong>on</strong> is<br />

called ‘shear sheltering’. It occurs when there is a low-level<br />

wind maximum present near the surface (at between 40 and<br />

- 42 -<br />

300 m above the water surface). As shown by Hunt and<br />

Durbin (1999), a layer with str<strong>on</strong>g vorticity, like a low-level<br />

jet, prevents eddies of a certain size range to penetrate from<br />

higher layers in the boundary layer down to the surface,<br />

thus reducing both turbulent transport and turbulence<br />

intensity in the stable surface layer. Low-level jets are<br />

shown to be a very comm<strong>on</strong> phenomen<strong>on</strong> in the Baltic Sea<br />

during the seas<strong>on</strong> when the surface of the sea is colder than<br />

surrounding land. An analogy in space to the well-known<br />

nocturnal jet then develops. When the MABL is stable, very<br />

little influence from waves can be seen<br />

6. The exchange of sensible heat.<br />

It is dem<strong>on</strong>strated that, for unstable c<strong>on</strong>diti<strong>on</strong>s, the neutral<br />

Stant<strong>on</strong> number C HN follows the theoretical predicti<strong>on</strong> of<br />

surface renewal theory (Liu et al., 1979) for wind speeds up<br />

to about 10 ms -1 . With increasing wind speed, C HN<br />

increases rapidly, being 20 – 40% higher than predicted by<br />

surface renewal theory at 14 ms -1 . For stable c<strong>on</strong>diti<strong>on</strong>s, the<br />

data are quite scattered, being generally about 25% below<br />

the corresp<strong>on</strong>ding value for unstable c<strong>on</strong>diti<strong>on</strong>s. For high<br />

winds, it decreases, however, significantly with wind speed,<br />

so that for 14 ms -1 , the ratio (C HN) unst/(C HN) stable ≈ 3. This<br />

increase in C HN with wind speed for unstable c<strong>on</strong>diti<strong>on</strong>s<br />

and simultaneous decrease for stable c<strong>on</strong>diti<strong>on</strong>s is in<br />

agreement with predicti<strong>on</strong>s from the spray theory of<br />

Andreas (1992).<br />

For stable c<strong>on</strong>diti<strong>on</strong>s, it was further shown that for cases<br />

when a low-level jet was observed, CHN is reduced by about<br />

a factor of two compared to the typical situati<strong>on</strong>.<br />

References<br />

Andreas, E., Sea spray and the turbulent air-sea heat fluxes.<br />

J. Geophys. Res. 97, 11429-11441, 1992.<br />

Drennan, W.M., H.C. Graber, D. Hauser and C. Quentin,<br />

On the wave age dependence of wind stress over pure sea.<br />

J. Geophys. Res.,10. 200210292000JC00715, 2003.<br />

Hunt, J.C.R. and P.A. Durbin, Perturbed vortical layers<br />

and shear sheltering. Fluid Dyn. Res., 24, 375-404, 1999.<br />

Liu, W.T., Katsaros, K.B. and Businger, J.A., Bulk<br />

parameterizati<strong>on</strong> of air-sea exchanges of heat and water<br />

vapor including the molecular c<strong>on</strong>straints at the interface. J.<br />

Atm.Sci. , 36, 1722-1735, 1979.<br />

Rutgerss<strong>on</strong>,A., A. Smedman and U. Högström, The use of<br />

c<strong>on</strong>venti<strong>on</strong>al stability parameters during swell. J. Geophys.<br />

Res., 106, C11, 27.117-27.134, 2001.<br />

Smedman, A., U. H ögström, H. Bergström, A. Rutgerss<strong>on</strong>,<br />

K. K. Kahma and H. Petterss<strong>on</strong>, A case-study of air-sea<br />

interacti<strong>on</strong> during swell c<strong>on</strong>diti<strong>on</strong>s. J. Geophys. Res.,<br />

104(C11), 25833-25851, 1999..<br />

Smedman, A, X. Guo-Larsen, U. Högström, K. Kahma and<br />

H. Petterss<strong>on</strong>, The effect of sea state <strong>on</strong> the m<strong>on</strong>mentum<br />

exchange over the sea during neutral c<strong>on</strong>diti<strong>on</strong>s. J.<br />

Geophys. Res., 108(C11) 3367, 2003.<br />

Townsend, A. A., Equilibrium layers and wall turbulence.<br />

J. fluid. Mech., 11, 97-120, 1961.

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