A note on the vertical distribution of momentum transport in water wavesa

• Autorzy: Kołodko J. , Gic-Grusza G.

Identyfikatory

DOI

10.1515/ohs-2015-0053

• Języki publikacji: EN

Abstrakty

EN

In this paper, the classical problem of horizontal waveinduced momentum transport is analyzed once again. A new analytical approach has been employed to reveal the vertical variation of this transport in the Eulerian description. In mathematical terms, this variation is shown to have (after “smoothing out” the surface corrugation) the character of a generalized function (distribution) and is described by a classical function in the water depths and by an additional Dirac-delta-function component on the averaged free surface. In terms of physics, the considered variation consists of two entities: (i) a continuous distribution of the mean momentum transport flux density (tensorial radiation pressure) over the entire water column, and (ii) an additional momentum transport flux concentrated on the mean free surface level (tensorial radiation surface pressure). Simple analytical formulae describing this variation have been derived. This allowed a conventional expression to be derived, describing the depth-integrated excess of horizontal momentum flux due to the presence of waves (the so-called “radiation stress”), confirming to some extent the correctness of the whole analysis carried out. The results obtained may be important to the ocean dynamics, especially in view of their possible application in the field of hydrodynamics of wave-dominated coastal zones.

Słowa kluczowe

EN

radiation stress; coastal zone; wave induced currents; momentum transport; three-dimensional modeling

• Wydawca: Institute of Oceanography University of Gdańsk
• Czasopismo: Oceanological and Hydrobiological Studies
• Rocznik: 2015
• Tom: Vol. 44, No. 4
• Strony: 563--568
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Kołodko J.

• Institute of Hydroengineering PAS (IBW PAN), ul. Kościerska 7, 80–328 Gdańsk, Poland

autor

Gic-Grusza G.

• Institute of Oceanography, Faculty of Oceanography and Geography, University of Gdańsk, Al. M. Piłsudskiego 46, 81–378 Gdynia, Poland

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