Accession Number : ADA328516

Title :   The Effect of Three-Dimensional Freestream Disturbances on the Supersonic Flow Past a Wedge.

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Duck, Peter W. ; Lasseigne, D. G. ; Hussaini, M. Y.

PDF Url : ADA328516

Report Date : JUN 1997

Pagination or Media Count : 29

Abstract : The interaction between a shock wave (attached to a wedge) and small amplitude, three-dimensional disturbances of a uniform, supersonic, freestream flow are investigated. The paper extends the two-dimensional study of Duck et al(1), through the use of vector potentials, which render the problem tractable by the same techniques as in the two-dimensional case, in particular by expansion of the solution by means of a Fourier-Bessel series, in appropriately chosen coordinates. Results are presented for specific classes of freestream disturbances, and the study shows conclusively that the shock is stable to all classes of disturbances (i.e. time periodic perturbations to the shock do not grow downstream), provided the flow downstream of the shock is supersonic (loosely corresponding to the weak shock solution). This is shown from our numerical results and also by asymptotic analysis of the Fourier-Bessel series, valid far downstream of the shock.

Descriptors :   *SUPERSONIC FLOW, *FREE STREAM, TWO DIMENSIONAL, SHOCK WAVES, NUMERICAL ANALYSIS, THREE DIMENSIONAL, ASYMPTOTIC SERIES, VECTOR ANALYSIS, PERTURBATIONS, EXPANSION, FLOW, AMPLITUDE, LOW STRENGTH, DOWNSTREAM FLOW.

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE