Direct Numerical Simulation of Leading-Edge Receptivity to Sound
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Numerical simulations of leading-edge acoustic receptivity are performed for a flat plate with a modified-super-elliptic leading edge. For small freestream amplitude the agreement between branch I receptivity coefficients predicted from the direct numerical simulation (DNS) and the experiments for acoustic waves at zero incidence is excellent. The effect of angle of incidence of the impinging wave is investigated and found to produce higher receptivity coefficients than in the symmetric case. The slope of leading-edge receptivity coefficient vs angle of incidence of the impinging wave is found to be less than 1/4 of the slope predicted by zero-thickness flat-plate theory. However, there is excellent agreement between the DNS and finite-nose-radius theory. These results clearly demonstrate the importance of including the effects of the finite nose radius in any receptivity study. Finally, downstream of the leading-edge region linear stability theory is found to reproduce accurately the characteristics of the instability waves. At higher freestream forcing, an instability wave generated by nonlinear interaction is found at double the frequency of the forcing.
author list (cited authors)
Fuciarelli, D., Reed, H., & Lyttle, I.
complete list of authors
Fuciarelli, David||Reed, Helen||Lyttle, Ian