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Abstract
Computational investigation of supersonic jet screech in imperfectly expanded circular jets is conducted using higher order Weighted Essentially Non-Oscillatory (WENO) scheme based solution of the axisymmetric Navier Stokes equations. The jet screech phenomenon is numerically simulated for an over expanded and an under expanded circular supersonic jet. Sound pressure levels, screech amplitude and frequency are calculated from the pressure history in the flow field and compared with values in literature. Shock cell spacings in the high speed jet are also extracted from numerical simulations and compared with that in literature. Important aspects of a screeching jet observed experimentally, like the interaction of instability waves with the shock train and the contribution of downstream propagating hydrodynamic fluctuations to the creation of the upstream moving acoustic wave in the acoustic feedback mechanism, are also captured in the present computations. The latter phenomenon has been observed experimentally but not reported previously in numerical simulations.
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References
- Powell, A., "On the Mechanism of Chocked Jet Noise", Proceedings of Phys. Soc. London, Vol.66, 1953, pp.1039-1056.
- Powell, A., "On the Noise Emanating from a TwoDimensional Jet above the Critical Pressure", Aeronautical Quarterly, Vol.4, 1953, pp.103-122.
- Powell, A., "The Reduction of Choked Jet Noise", Proceedings of the Physical Society of London, Vol.B67, 1954, pp.313-327.
- Raman, G., "Supersonic Jet Screech : Half-Century from Powell to the Present", Journal of Sound and Vibration, Vol.225, 1999, pp.543-571.
- Harten, A. and Osher, S., "Uniformly High-Order Accurate Non-oscillatory Schemes I", SIAM Journal Numerical Analysis, Vol.24, No.2, 1987, pp.279309.
- Jiang, G.S. and Shu, C.W., "Efficient Implementation of Weighted ENO Schems", Journal of Computational Physics, Vol.126, 1996, pp.202-228.
- Seiner, J., McLaughlin, D. and Liu, C., "Supersonic Jet Noise Generated by Large-Scale Instabilities", NASA, Technical Paper 2072, 1982.
- Rona, A. and Zhang, X., "Time Accurate Numerical Study of Turbulent Supersonic Jets", Journal of Sound and Vibration, Vol.270, 2004, pp.297-321.
- Jorgenson, P.C.E. and Loh, C.Y., "Computing Axisymmetric Jet Screech Tones Using Unstructured Grids", AIAA Paper 2002-3889, 2002.
- Ponton, M., Seiner, J. and Brown, M., "Near Field Pressure Fluctuations in the Exit Plane of a Choked Axisymmetric Nozzle", NASA Technical Memorandum 113-137, 1997.
- Panda, J., "An Experimental Investigation of Screech Noise Generation", J. Fluid Mech., Vol.378, 1999, pp.71-96.
- Panda, J., "Shock Oscillation in Under expanded Screeching Jets", J. Fluid Mech., Vol.363, 1998, pp.173-198.
- Seiner, J., Manning, J. and Ponton, M., "The Preferred Mode of Instability for a Mach 2 Jet", AIAA Paper 86-1942, 1986.
- Moin, P., Squires, K., Cabot, W. and Lee S., "A Dynamic Subgrid-Scale Model for Compressible Turbulence and Scalar Transport", Physics of Fluids A, Vol.3(11), 1991, pp.2746-2757.
- Loh, C.Y. and Hultgren, L.S., "Jet Screech Noise Computation", NASA Technical Memorandum 212626, 2003.
- Seiner, J. and Ponton, M., "Aeroacoustics Data for High Reynolds Number Supersonic Axisymmetric Jets", NASA Technical Memorandum 86296, 1985.
- Norum, T. and Seiner, J., "Measurements of Mean Static Pressure and Far-field Acoustic of Shock-containing Supersonic Jets", NASA, Technical Memorandum 84521, 1983.
- Seiner, J. and Norum, T., "Aerodynamic Aspects of Shock Containing Jet Plumes", AIAA Paper 80-0965, 1980.
References
Powell, A., "On the Mechanism of Chocked Jet Noise", Proceedings of Phys. Soc. London, Vol.66, 1953, pp.1039-1056.
Powell, A., "On the Noise Emanating from a TwoDimensional Jet above the Critical Pressure", Aeronautical Quarterly, Vol.4, 1953, pp.103-122.
Powell, A., "The Reduction of Choked Jet Noise", Proceedings of the Physical Society of London, Vol.B67, 1954, pp.313-327.
Raman, G., "Supersonic Jet Screech : Half-Century from Powell to the Present", Journal of Sound and Vibration, Vol.225, 1999, pp.543-571.
Harten, A. and Osher, S., "Uniformly High-Order Accurate Non-oscillatory Schemes I", SIAM Journal Numerical Analysis, Vol.24, No.2, 1987, pp.279309.
Jiang, G.S. and Shu, C.W., "Efficient Implementation of Weighted ENO Schems", Journal of Computational Physics, Vol.126, 1996, pp.202-228.
Seiner, J., McLaughlin, D. and Liu, C., "Supersonic Jet Noise Generated by Large-Scale Instabilities", NASA, Technical Paper 2072, 1982.
Rona, A. and Zhang, X., "Time Accurate Numerical Study of Turbulent Supersonic Jets", Journal of Sound and Vibration, Vol.270, 2004, pp.297-321.
Jorgenson, P.C.E. and Loh, C.Y., "Computing Axisymmetric Jet Screech Tones Using Unstructured Grids", AIAA Paper 2002-3889, 2002.
Ponton, M., Seiner, J. and Brown, M., "Near Field Pressure Fluctuations in the Exit Plane of a Choked Axisymmetric Nozzle", NASA Technical Memorandum 113-137, 1997.
Panda, J., "An Experimental Investigation of Screech Noise Generation", J. Fluid Mech., Vol.378, 1999, pp.71-96.
Panda, J., "Shock Oscillation in Under expanded Screeching Jets", J. Fluid Mech., Vol.363, 1998, pp.173-198.
Seiner, J., Manning, J. and Ponton, M., "The Preferred Mode of Instability for a Mach 2 Jet", AIAA Paper 86-1942, 1986.
Moin, P., Squires, K., Cabot, W. and Lee S., "A Dynamic Subgrid-Scale Model for Compressible Turbulence and Scalar Transport", Physics of Fluids A, Vol.3(11), 1991, pp.2746-2757.
Loh, C.Y. and Hultgren, L.S., "Jet Screech Noise Computation", NASA Technical Memorandum 212626, 2003.
Seiner, J. and Ponton, M., "Aeroacoustics Data for High Reynolds Number Supersonic Axisymmetric Jets", NASA Technical Memorandum 86296, 1985.
Norum, T. and Seiner, J., "Measurements of Mean Static Pressure and Far-field Acoustic of Shock-containing Supersonic Jets", NASA, Technical Memorandum 84521, 1983.
Seiner, J. and Norum, T., "Aerodynamic Aspects of Shock Containing Jet Plumes", AIAA Paper 80-0965, 1980.