Abstract
The flow about blunt objects in shallow water which support a detached hydraulic jump is investigated. This work is an extension of the blunt body problem of gas dynamics to an analogous situation existing in free-surface flows. The problem is solved inversely, by expressing the flow variables as series expansions about the shock apex, and then determining the position of the body downstream. The presence of various singular lines in the solution is discussed.
Zusammenfassung
Es wird die Strömung in seichtem Wasser untersucht, welche bei der Umströmung von stumpfen Körpern einen abgelösten hydraulischen Sprung erzeugt. Dies ist eine Verallgemeinerung des gasdynamischen Problems der stumpfen Körper zur analogen Situation bei der Strömung mit freier Oberfläche. Es wird das inverse Problem gelöst, durch Reihenentwicklung der Strömungs-Variablen von der Stoß-Spitze ausgehend; damit wird der stromabwärts liegende Körper bestimmt. Das Auftreten von verschiedenen singulären Linien in der Lösung wird diskutiert.
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Forbes, L.K., Schwartz, L.W. Supercritical flow past blunt bodies in shallow water. Z. angew. Math. Phys. 32, 314–328 (1981). https://doi.org/10.1007/BF00946647
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DOI: https://doi.org/10.1007/BF00946647