Nonlinear Effects on Sound Propagation Through High Subsonic Mach Number Flows in Variable Area DuctsNational Aeronautics and Space Administration, 1979 - 86 pages |
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Nonlinear Effects on Sound Propagation Through High Subsonic Mach Number ... Andrew J. Callegari No preview available - 1979 |
Common terms and phrases
acoustic field acoustic power transmitted acoustic quantities acoustic source acoustic streaming effect acoustic velocity analytic function Appendix area variation asymptotic matching ax² basic steady flow boundary conditions boundary value problem choked flow coefficients Crocco Crocco-Tsien density derived determined distribution of total eigenvalue flow Mach number Fourier series given by Eq harmonics for varying hence higher harmonics hypergeometric functions inner equations inner region inner solution leading order linear theory linearized acoustic theory m₁ Mo(x nonlinear acoustic nonlinear effect ordinary differential equation outer expansion outer region outer solution parameter periodic function perturbation quantities perturbation velocity power among harmonics quasi-one dimensional model second of Eqs shocks will occur singular point solving sonic flow source frequency superharmonics throat Mach number throat region total power transonic upstream propagating sound Variable Area Duct yields