Analytical solution for the tidally induced Lagrangian residual current in a narrow bay |
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Authors: | Wensheng Jiang Shizuo Feng |
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Institution: | (1) Physical Oceanography Laboratory, Ocean University of China, Songling Road 100, Qingdao, Shandong, 266100, People’s Republic of China |
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Abstract: | In a weakly nonlinear tidal system, the depth-averaged equations for the first-order Lagrangian residual velocity (LRV) are
deduced systematically. For the case of a narrow bay, the equations are solved analytically and the results for a specific
bottom profile are discussed in detail. According to the pattern of the first-order LRV, the bay can be divided into three
parts, namely an inner part, a transitional zone, and an outer part. For the given depth profile, the streamline of the first-order
LRV for a shorter bay is a part of that for a longer bay. The first-order LRV depends on a nondimensional parameter that combines
the influences of the bottom friction coefficient, the tidal period and the averaged water depth. The form of the bottom friction
also has a significant influence on the first-order LRV. The second-order LRV, i.e., the Lagrangian drift, is analytically
solved and shows dependence on the initial tidal phase. The LRV differs from the Eulerian residual transport velocity both
quantitatively and qualitatively. It is demonstrated that the residual currents obtained according to other definitions may
cause misunderstanding of the mass transport in water exchange applications. |
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Keywords: | |
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