Divergence and entrainment in a river effluent: the heartbreak model |
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| Authors: | Hideo Kawai |
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| Institution: | (1) Department of Fisheries, Kyoto University, 606 Kyoto, Japan |
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| Abstract: | This paper reports some results of our experiments of tracking drifters and detailed observations made in the Shinano River effluent in October–November 1970 and May 1971. Using the natural coordinate system under a quasi-steady state assumption, this paper introduces a new entrainment constant, which is really the nondimensional flow normal to an interface between effluent and seawater, and shows a relation that this normal flow is the sum of the nondimensional longitudinal and lateral divergences of the effluent with arbitrarily shaped streamlines. Using the above field data and relationship, this paper proposes the Heartbreak Model with intermittently pinched-off auricles for the effluent. Considerable lateral divergence in the Shinano River effluent is found within 500 m of the river mouth. This causes a loss of available potential energy associated with a steep upslope of the interface downstream and the inward flow normal to the interface. It is also found that the effluent exhibits an asymmetric heart-shaped distribution. The pit near the central axis about 1 km from the mouth is due to the inward normal flow associated with the dominant lateral divergence; enlargement and detachment of auricles on both sides of the pit are due to the outward normal flow associated with the dominant longitudinal convergence. |
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