Title page for ETD etd-10102005-131545
|Type of Document
||King, Peter Samuel
||A parametric study of the hydrodynamic stability theory of 3-D compressible free shear flows
|Schetz, Joseph A.
|Grossman, Bernard M.
|Simpson, Roger L.
|Walters, Robert W.
|Yates, Charlie L.
|Date of Defense
In this study, a new and efficient numerical algorithm is developed to solve both
the two-dimensional and three-dimensional compressible hydrodynamic stability problem.
A parametric study of free shear flows with two or more supersonic streams is perfonned.
Flows examined included shear layers, jets/wakes, and various geometrical combinations
of these flows. The effect of Mach number on the stability characteristics of the flow is
studied and found to confrrm the work of other researchers who found that increasing the
relative (or convective) Mach number increases the stability of the flow. For 2-D mean
flows, the most amplified disturbance is shown to be axial for M<1.2 and fully three-dimensional
for M> 1.2. Disturbances for three-dimensional mean flows are found here
to be axial in the presence of side walls. The variation of the eigenfunctions and flow field
disturbances as a function of Mach number and the flow geometry was also studied.
Comparisons of the stability code results are also made to several turbulent mixing experiments.
The stability code correctly predicts which parameters will accelerate mixing. New
correlations of the effects of some important parameters on stability are developed.
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