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A note on tidal current rotation
Authors:Email author" target="_blank">Noel?CarbajalEmail author
Institution:(1) Instituto Potosino de Investigación Científica y Tecnológica, Venustiano Carranza 2425-A, Col. Lomas, San Luis Potosí S.L.P, 78210, Mexico
Abstract:The rotational form of the vertically averaged equations of motion is applied to derive a formula, linear friction included, which establishes a direct connection between sense of rotation of tidal currents and features of tidal amphidromic systems. Two factors in the formula, called agr and beta, influence the sense of rotation of tidal currents; the factor agr involves the frequency of the tidal signal ohgr, the Coriolis parameter f, and the linear friction coefficient r. The sign of the cross-product of the logarithm of sea-surface elevation (zeta), and phase (phivzeta) gradients MediaObjects/s10236-004-0097-4flb1.gif determines whether the factor beta favors clockwise or anticlockwise sense of rotation. MediaObjects/s10236-004-0097-4flb2.gif is a unit vector and gamma is the angle between nablalnzeta and nablaphivzeta. The limits |nablazeta|rarr0, |nablaphivzeta|rarr0 and gammararr0 lead to a clockwise sense of rotation in the Northern Hemisphere. 0legammalepgr favors anticlockwise rotation in the Northern Hemisphere. Friction and low frequencies favor an anticlockwise sense of rotation. The theory works well in semi-enclosed regions like the North Sea. Although only linear friction and sea-surface elevation gradients were considered, there are ocean regions where the agreement between theory and observations is also good.Responsible Editor: Hans Burchard
Keywords:Tides  Tidal currents  Amphidromic systems  Sense of rotation  Theory
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