## A Mathematical Analysis of Supersonic Inlet Dynamics, Volume 4969 |

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_at ax_ 48-centimeter inlet aM(M Amplitude ratio analog computer analog simulation ANALYSIS OF SUPERSONIC approximate mathematical analysis APT(S assumed ax ax choked exit coefficient matrix Combining equations constant entropy constant-area duct continuity equation defined in eqs equation 14 equations 25 equations 31 equations become exit boundary condition fixed stations flow perturbations frequency response data functional parameter defined Helmholtz resonator Laplace transform Lewis Research Center Linearizing equation Mav+5 method of characteristics minimum-area NACA nondimensional coefficient normal shock numerical evaluation Pade approximations perfect-gas relations Phase angle reference relative Mach number response to flow section of subsonic set of equations shock motion Shock-position response shock-position transfer function shock-position-to-disturbance-flow simplification speed of sound static pressure subscripts subsonic duct subsonic portion SUBSONIC-DUCT EQUATIONS supersonic inlet dynamics test data tion Tn+1 total pressure unprimed stations upstream boundary condition variable velocity wave equations weight flow written in terms yields