On supersonic flow past oscillating bodies of revolution.

AIAA Journal ◽  
1966 ◽  
Vol 4 (2) ◽  
pp. 370-371 ◽  
Author(s):  
GILBERT H. HOFFMAN ◽  
MAX F. PLATZER
Keyword(s):  
Supersonic Flow ◽  
Bodies Of Revolution ◽  
Flow Past

scholarly journals Nonlinear unsteady supersonic flow analysis for slender bodies of revolution: Theory

1997 ◽  
Vol 3 (3) ◽  
pp. 217-241
Author(s):  
D. E. Panayotounakos ◽  
M. Markakis
Keyword(s):  
Supersonic Flow ◽  
Small Perturbation ◽  
Initial Conditions ◽  
Linear Time ◽  
Flow Analysis ◽  
Time Dependent ◽  
Perturbation Equation ◽  
Bodies Of Revolution ◽  
Flow Past ◽  
Slender Bodies

We construct analytical solutions for the problem of nonlinear supersonic flow past slender bodies of revolution due to small amplitude oscillations. The method employed is based on the splitting of the time dependent small perturbation equation to a nonlinear time independent partial differential equation (P.D.E.) concerning the steady flow, and a linear time dependent one, concerning the unsteady flow. Solutions in the form of three parameters family of surfaces for the first equation are constructed, while solutions including one arbitrary function for the second equation are extracted. As an application the evaluation of the small perturbation velocity resultants for a flow past a right circular cone is obtained making use of convenient boundary and initial conditions in accordance with the physical problem.

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