Abstract
The phenomenon of an increase in tidal wave height in cone-shaped estuaries is studied. The effect of estuary narrowing in the direction of tidal wave propagation (the hydrodynamic effect of confusor) is among the factors amplifying the tide. An opposite effect of turbulent friction, whose manifestation increases with decreasing bay’s depth, conversely, reduces tide amplitude because of the dissipation of tidal wave energy. Stokes diffusion layer also plays a significant role in the formation of wave transformation regime. In an estuary with a median depth, which is much greater than the Stokes layer thickness, the confusor effect is stronger and tide amplitude increases at estuary head. At depths lesser than Stokes layer thickness, the turbulent friction dominates over the confusor effect and the amplitude of tidal wave decreases at the head of the estuary. The depths of the order of Stokes layer thickness cause an interesting intermediate phenomenon—at the entrance into the estuary, first the effect of friction manifests itself, resulting in a decrease in the amplitude of tidal wave, but later, the effect of confusor starts dominating, and the amplitude of tidal wave again increases toward estuary head. When the period of tidal wave coincides with seiche period, a resonance enhancement of seiche oscillations takes place in the estuary.
Similar content being viewed by others
References
Babkov, A.I., Gidrologiya Belogo morya (White Sea Hydrology), St. Petersburg: Zoologicheskii inst. RAN, Belomorskaya biol. stantsiya im. akad. O.A. Skarlato, 1998.
Zyryanov, V.N., Teoriya ustanovivchikhsya okeanicheskikh techenii. Srashchivaemye asimptoticheskie razlozheniya: osnovy teorii i prilozheniya k zadacham dinamiki okeana (The Steady Ocean Current Theory. Matched Asymptotic Expansions: Theoretical Basis and Applications to Ocean Dynamics Problems), Leningrad: Gidrometeoizdat, 1985.
Zyryanov, V.N., Topograficheskie vikhri v dinamike morskikh techenii (Topographic Eddies in Sea Current Dynamics), Moscow: IVP RAN, 1995.
Shokal’skii, Yu.M., Okeanografiya (Oceanography), Leningrad: Gidrometeoizdat, 1959.
Djordjevic, V.D., On the dissipation of interfacial and internal long gravity waves, ZAMP, 1980, vol. 31, no. 3, pp. 318–331.
Djordjevic, V.D., On the effect of viscosity on some nonwave motions of liquids with the free surface, Acta Mech., 1983, vol. 48, nos. 3-4, pp. 219–226.
Kakutani, T. and Matsuuchi, K., Effect of viscosity on long gravity waves, J. Phys. Soc. Jpn., 1975, vol. 39, no. 1, pp. 237–246.
Lighthill, J., Waves in Fluids, Cambridge: Univ. Press, 1978.
Nakaya, C., Spread of fluid drops over a horizontal plane, J. Phys. Soc. Jpn., 1974, vol. 37, no. 2, pp. 539–543.
Tatsusaburo, Isaji, and Spaulding, M.L., A model of the tidally induced residual circulation in the Gulf of Maine and Georges Bank, J. Phys. Oceanogr., 1984, vol. 14, pp. 1119–1126.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.N. Zyryanov, M.K. Chebanova, 2016, published in Vodnye Resursy, 2016, Vol. 43, No. 4, pp. 379–386.
Rights and permissions
About this article
Cite this article
Zyryanov, V.N., Chebanova, M.K. Hydrodynamic effects at the entry of tidal waves into estuaries. Water Resour 43, 621–628 (2016). https://doi.org/10.1134/S0097807816040187
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0097807816040187