Use of Linearized Euler Equations for Supersonic Jet Noise Prediction

Abstract

The use of linearized Euler equations for direct prediction of supersonic jet noise is explored. It is shown that a high-order numerical scheme coupled with proper boundary treatment can produce a stable solution nearly free from reflections. Results are verified against analytical results for sound radiated by instability waves. Applicability of this approach to real jets is explored by taking the inflow disturbances to be random in time and comparing the computed sound field to the experimentally measured one. Nomenclature D = jet exit nozzle diameter e = total energy per unit volume Me = jet exit Mach number p = pressure Ue = jet exit velocity u = axial velocity v = radial velocity w = azimuthal velocity p = density pe = jet exit density