Student Number : 9804064R -
MSc research report -
School of Mechanical, Industrial and Aeronautical Engineering -
Faculty of Engineering and the Built Environment / A qualitative and quantitative study of the hydraulic analogy; that is the
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 actual free surface flow models, and a fictitious gas model. Different test
cases are considered (i) a wedge moving at steady supersonic/supercritical
speeds of Froude or Mach number equal to 2.38, 3.12 and 4.31 (ii)unsteady
motion of a wedge accelerating to supersonic 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 to the experimental case. For
the unsteady case the resulting flow patterns are quite similar for the two cases
considered, namely the experimental and free surface CFD cases.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/2102 |
| Date | 23 February 2007 |
| Creators | Arendze, Ziyaad |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | 4713862 bytes, application/pdf, application/pdf |
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