Supercritical flow past blunt bodies in shallow water

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.

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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.

     

Azole chemistry VII. The effect of metal complexation on a ring—chain tautomeric equilibrium

The chromium tricarbonyl group significantly affects the position of an oxazolidine-imino alcohol tautomeric equilibrium.     

Ring Gyro Test of the Holographic Principle

In this letter the use of a ring gyro to test the holographic principle is advanced. Quantum fluctuations of the metric are sufficient to induce a correction to the Sagnac phase of a ring gyro. The requirements to perform this measurement are within the capabilities of contemporary technology.     

The synthesis of cis-6,12-Diaryl-6H,12H-dibenzo[b,f][1,5]dithiocin-6,12-imine and cis-6,12-Diphenyl-6,12-epoxy-6H,12H-dibenzo[b,f][1,5]dithiocin

When treated with concentrated hydrochloric acid or heated beyond its melting point, the versatile thioimine 2 2-mercaptobenzhydrylidenamine was unexpectedly converted to the title ring system. Also, this imine can be converted to 3-phenyl-1,2-benzisothiazoles by prolonged exposure to air.