Title page for ETD etd-10102005-131545

Type of Document Dissertation
Author King, Peter Samuel
URN etd-10102005-131545
Title A parametric study of the hydrodynamic stability theory of 3-D compressible free shear flows
Degree PhD
Department Aerospace Engineering
Advisory Committee
Advisor Name Title
Schetz, Joseph A. Committee Chair
Grossman, Bernard M. Committee Member
Simpson, Roger L. Committee Member
Walters, Robert W. Committee Member
Yates, Charlie L. Committee Member
  • Hydrodynamics
  • Shear flow
Date of Defense 1991-09-15
Availability restricted

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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