Acoustic energy exchange in sheared mean flows

Statistics – Computation

Scientific paper

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Acoustic Propagation, Energy Transfer, Refraction, Shear Flow, Solid Propellant Rocket Engines, Vortex Shedding, Boundary Conditions, Boundary Layers, Combustion Products, Finite Difference Theory, Navier-Stokes Equation, Pressure Oscillations, Wall Pressure

Scientific paper

The interaction between the acoustic field in a chamber and a free shear layer (i.e., vortex shedding) and the so called flow turning effect is examined, and efforts to develop the computational capability to properly address such problems are detailed. Three finite difference solvers (two explicit and one implicit) were acquired and modified to solve a test case of acoustic wave propagation in the presence of sheared mean flow in a hard wall tube. A comparison between the explicit and implicit codes demonstrates the inability of one of the explicit codes to handle exponential distribution of mesh points in the radial direction with very fine grid distribution near the side walls. Results obtained demonstrate the ability of the implicit code to handle grid size ratios of 10000:I and to obtain time accurate solutions. Assessment of available models of nonreflective boundary conditions shows that all of them reflect incident two dimensional waves. Therefore, the time evolution of acoustic refraction as the traveling wave traverses the length of the chamber was investigated. Initial results from the acoustic refraction study indicate the ability of the implicit code to calculate refraction.

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