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8 - Cross-Sectional Stability of a Single Inlet System

Published online by Cambridge University Press:  04 July 2017

J. van de Kreeke
Affiliation:
University of Miami
R. L. Brouwer
Affiliation:
Technische Universiteit Delft, The Netherlands
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Summary

To determine the equilibrium cross-sectional areas and their stability for a single inlet system, Escoffier's stability concept is used. Based on a balance between wave-driven import and tide-driven export, he reasoned that the inlet is in equilibrium when the inlet velocity amplitude equals the equilibrium velocity. The velocity amplitude is calculated from u = πP/AT with P is tidal prism, A is cross-sectional area and T is tidal period. The equilibrium velocity is calculated by eliminating the tidal prism in this equation using one of the cross-sectional area -tidal prism relationships. For a velocity amplitude larger than the equilibrium velocity, the inlet scours, when smaller than the equilibrium velocity the inlet shoals. This can be visualized with the so-called Escoffier Diagram, which consists of a closure curve and an equilibrium velocity curve. The closure curve shows the amplitude of the inlet velocity as a function of cross-sectional area. Using the Escoffier Diagram, it is shown that generally two equilibrium cross-sectional areas exist; the larger of the two is stable while the smaller one is unstable. The same conclusion is arrived at using a linear stability analysis. As an example, the Escoffier method is applied to Pass Cavallo (TX).
Type
Chapter
Information
Tidal Inlets
Hydrodynamics and Morphodynamics
, pp. 75 - 85
Publisher: Cambridge University Press
Print publication year: 2017

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