Abstract

ARENDZE, Ziyaad  and  SKEWS, Beric W.. Experimental and Numerical Study of the Hydraulic Analogy to Supersonic Flow. R&D j. (Matieland, Online) [online]. 2008, vol.24, pp.9-15. ISSN 2309-8988.

A qualitative and quantitative study of the hydraulic analogy between flow with a free surface and two dimensional compressible gas flow is described. The experimentation was done using a water table, and results are compared with computational fluid dynamic (CFD) results for free surface flow models, a fictitious gas model, and analytical solutions for flow over a wedge. Three steady flow Mach numbers are considered as well as unsteady motion of a wedge accelerating to supercritical speeds and then decelerating. Quantitative results for the experimental case are achieved by using a colour encoding slope detection technique. Qualitatively, with respect to wave angles, the fictitious gas case shows the best agreement to the experimental case, but at higher Froude/Mach numbers the free surface models also show good agreement. Quantitatively, with respect to wave location and depth profile, the free surface models show better agreement with the experimental case. For the unsteady case the resulting flow patterns are quite similar for the two cases considered, i.e. the experimental and free surface CFD cases.

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