Linearized theory of gas-dynamic-laser nozzle wakes and applications
Abstract
Equations describing the development of wakes trailing from gas-dynamic-laser nozzle cusps are assembled in compact form. A particular family of appropriately short, geometrically similar DeLaval nozzles is considered. The exit flow is assumed parallel, and the trailing edge thickness is taken to be sharp. Fully laminar and fully turbulent wakes are considered for arbitrary exit Mach and Reynolds number, specific heat ratio and nozzle-to-stagnation temperature ratio. The total viscous drag and heat exchanged with the nozzle cusp are calculated, for such conditions, for both laminar and turbulent nozzle boundary layer. To calculate the laminar wake, Kubota's linearized similarity theory is then utilized; for the turbulent wake an analogous similarity theory is used, with key information on turbulent transport drawn from recent two-dimensional supersonic wake experiments. Procedures are indicated, and charts and tables are supplied for applying the formulas to any set of design parameters. A specific example at Mach 4 is computed in detail.
- Publication:
-
Interim Report Aeronutronic Ford Corp
- Pub Date:
- October 1976
- Bibcode:
- 1976afc..rept.....D
- Keywords:
-
- Gasdynamic Lasers;
- Laminar Wakes;
- Linear Equations;
- Nozzle Flow;
- Turbulent Wakes;
- Boundary Layers;
- Supersonic Wakes;
- Viscous Drag;
- Fluid Mechanics and Heat Transfer