Flow and Acoustic Fields of Rocket Jets Impinging on a Perforated Plate
Abstract
The flow and acoustic fields of jets at a Mach number of 3.1 impinging on a plate at of the jet nozzle exit, where is the nozzle diameter, have been investigated using highly resolved large-eddy simulations. The plate is perforated with a hole of diameter , , , or . The full-plate and free-jet cases have also been considered. The pressure levels are highest for the non-perforated plate and decrease as the hole diameter increases. Compared with the free jet, they are higher by about 5 dB for the full plate, 4 dB for and , 3 dB for , and 2 dB for . In the upstream direction, the broadband shock-associated noise is prevailing for the free jet. For the impinging jets, the main noise component in that direction is produced by the impingement of the jet turbulent structures on the plate. In the downstream direction, for the free jet and down to the plate for the impinging jets, the sound field is dominated by Mach waves. Downstream of the perforated plates, waves are generated by interactions between the jet flow and the plate.
References
[1] , “Computational Aeroacoustic Analysis of Overexpanded Supersonic Jet Impingement on a Flat Plate With/Without Hole,” ASME/JSME 2007 5th Joint Fluids Engineering Conference, Paper FEDSM2007-37563, 2007, pp. 1163–1167. https://doi.org/10.1115/FEDSM2007-37563
[2] , “Numerical Aeroacoustics Analysis of a Scaled Solid Jet Impinging on Flat Plate with Exhaust Hole,” 30th International Symposium on Space Technology and Science, Paper 2015-o-2-05, 2015.
[3] , “Coupled CFD-CAA Simulation of the Noise Generated by a Hot Supersonic Jet Impinging on a Flat Plate with Exhaust Hole,” AIAA Paper 2019-2752, 2019. https://doi.org/10.2514/6.2019-2752
[4] , “Generation and Propagation of Pressure Waves from H-IIA Launch Vehicle at Lift-Off,” AIAA Paper 2008-0390, 2008. https://doi.org/10.2514/6.2008-390
[5] , “The Sound-Producing Oscillations of Round Underexpanded Jets Impinging on Normal Plates,” Journal of the Acoustical Society of America, Vol. 83, No. 2, 1988, pp. 515–533. https://doi.org/10.1121/1.396146
[6] , “Theoretical Model of Discrete Tone Generation by Impinging Jets,” Journal of Fluid Mechanics, Vol. 214, May 1990, pp. 67–87. https://doi.org/10.1017/S0022112090000052
[7] , “Supersonic Rectangular Jet Impingement Noise Experiments,” AIAA Journal, Vol. 29, No. 7, 1991, pp. 1051–1057. https://doi.org/10.2514/3.10703
[8] , “Impingement Tones of Large Aspect Ratio Supersonic Rectangular Jets,” AIAA Journal, Vol. 30, No. 2, 1992, pp. 304–311. https://doi.org/10.2514/3.10919
[9] , “Hole Tone Generation from Highly Choked Jets,” Journal of the Acoustical Society of America, Vol. 94, No. 2, 1993, pp. 1058–1066. https://doi.org/10.1121/1.406952
[10] , “An Experimental Study of the Oscillatory Flow Structure of Tone-Producing Supersonic Impinging Jets,” Journal of Fluid Mechanics, Vol. 542, Nov. 2005, pp. 115–137. https://doi.org/10.1017/S0022112005006385
[11] , “Investigation of Tone Generation in Ideally Expanded Supersonic Planar Impinging Jets Using Large-Eddy Simulation,” Journal of Fluid Mechanics, Vol. 808, Dec. 2016, pp. 90–115. https://doi.org/10.1017/jfm.2016.628
[12] , “Feedback Loop and Upwind-Propagating Waves in Ideally Expanded Supersonic Impinging Round Jets,” Journal of Fluid Mechanics, Vol. 823, July 2017, pp. 562–591. https://doi.org/10.1017/jfm.2017.334
[13] , “Generation of Acoustic Tones in Round Jets at a Mach Number of 0.9 Impinging on a Plate with and Without a Hole,” Journal of Fluid Mechanics, Vol. 936, 2022, Paper A16. https://doi.org/10.1017/jfm.2022.47
[14] , “Acoustic Characterization of Two Parallel Supersonic Jets,” INTER-NOISE and NOISE-CON Congress and Conference Proceedings, Vol. 259, 2019, pp. 4251–4262.
[15] , “Acoustic and Mean Flow Measurements of High-Speed, Helium-Air Mixture Jets,” International Journal of Aeroacoustics, Vol. 2, No. 3, 2003, pp. 293–333. https://doi.org/10.1260/147547203322986151
[16] , “Large-Eddy Simulation of the Flow and Acoustic Fields of a Reynolds Number Subsonic Jet with Tripped Exit Boundary Layers,” Physics of Fluids, Vol. 23, No. 3, 2011, Paper 035104. https://doi.org/10.1063/1.3555634
[17] , “Nozzle Boundary-Layer Separation Near the Nozzle Exit in Highly Overexpanded Jets,” AIAA Paper 2020-2561, 2020. https://doi.org/10.2514/6.2020-2561
[18] , “Effects of Nozzle-Exit Boundary-Layer Profile on the Initial Shear-Layer Instability, Flow Field and Noise of Subsonic Jets,” Journal of Fluid Mechanics, Vol. 876, Oct. 2019, pp. 288–325. https://doi.org/10.1017/jfm.2019.546
[19] , “Acoustic Tones in the Near-Nozzle Region of Jets: Characteristics and Variations Between Mach Numbers 0.5 and 2,” Journal of Fluid Mechanics, Vol. 921, Aug. 2021. https://doi.org/10.1017/jfm.2021.426
[20] , “A Family of Low Dispersive and Low Dissipative Explicit Schemes for Flow and Noise Computations,” Journal of Computational Physics, Vol. 194, No. 1, 2004, pp. 194–214. https://doi.org/10.1016/j.jcp.2003.09.003
[21] , “A Shock-Capturing Methodology Based on Adaptative Spatial Filtering for High-Order Non-Linear Computations,” Journal of Computational Physics, Vol. 228, No. 5, 2009, pp. 1447–1465. https://doi.org/10.1016/j.jcp.2008.10.042
[22] , “On the Performance of Relaxation Filtering for Large-Eddy Simulation,” Journal of Turbulence, Vol. 14, No. 1, 2013, pp. 22–49. https://doi.org/10.1080/14685248.2012.740567
[23] , “Radiation and Outflow Boundary Conditions for Direct Computation of Acoustic and Flow Disturbances in a Non Uniform Mean Flow,” Journal of Computational Acoustics, Vol. 4, No. 2, 1996, pp. 175–201. https://doi.org/10.1142/S0218396X96000040
[24] , “Numerical Treatment of Polar Coordinate Singularities,” Journal of Computational Physics, Vol. 157, No. 2, 2000, pp. 787–795. https://doi.org/10.1006/jcph.1999.6382
[25] , “Finite Differences for Coarse Azimuthal Discretization and for Reduction of Effective Resolution Near Origin of Cylindrical Flow Equations,” Journal of Computational Physics, Vol. 230, No. 4, 2011, pp. 1134–1146. https://doi.org/10.1016/j.jcp.2010.10.031
[26] , “Numerical Investigation of Wave Steepening and Shock coalescence Near a Cold Mach 3 Jet,” Journal of the Acoustical Society of America, Vol. 149, No. 1, 2021, pp. 357–370. https://doi.org/10.1121/10.0003343
[27] , “Links Between Steepened Mach Waves and Coherent Structures for a Supersonic Jet,” AIAA Journal, Vol. 59, No. 5, 2021, pp. 1673–1681. https://doi.org/10.2514/1.J059859
[28] , “Investigation of a High-Mach-Number Overexpanded Jet Using Large-Eddy Simulation,” AIAA Journal, Vol. 49, No. 10, 2011, pp. 2171–2182. https://doi.org/10.2514/1.J050952
[29] , “Accurate Simulation of the Noise Generated by a Hot Supersonic Jet Including Turbulence Tripping and Nonlinear Acoustic Propagation,” Physics of Fluids, Vol. 31, No. 1, 2019, Paper 016105. https://doi.org/10.1063/1.5050905
[30] , “Overexpansion Effects on Characteristics of Mach Waves from a Supersonic Cold Jet,” AIAA Journal, Vol. 49, No. 10, 2011, pp. 2282–2294. https://doi.org/10.2514/1.J051054
[31] , “Steepened Mach Waves Near Supersonic Jets: Study of Azimuthal Structure and Generation Process Using Conditional Averages,” Journal of Fluid Mechanics, Vol. 880, Dec. 2019, pp. 594–619. https://doi.org/10.1017/jfm.2019.729
[32] , “Acoustic Near-Field Properties Associated with Broadband Shock Noise,” AIAA Journal, Vol. 22, No. 9, 1984, pp. 1207–1215. https://doi.org/10.2514/6.1981-1975
[33] , “Supersonic Jet Noise,” Annual Review of Fluid Mechanics, Vol. 27, No. 1, 1995, pp. 17–43. https://doi.org/10.1146/annurev.fl.27.010195.000313
[34] , “Numerical Study of Free Supersonic Hot Jet on Unstructured Grids with Emphasis on Aerodynamics and Resulting Radiated Noise,” AIAA Paper 2016-2734, 2016. https://doi.org/10.2514/6.2016-2734
[35] , “Shock Associated Noise of Supersonic Jets from Convergent-Divergent Nozzles,” Journal of Sound and Vibration, Vol. 81, No. 3, 1982, pp. 337–358. https://doi.org/10.1016/0022-460X(82)90244-9
[36] , “A Note on Prandtl’s Formula for the Wave-Length of a Supersonic Gas Jet,” Quarterly Journal of Mechanics and Applied Mathematics, Vol. 3, No. 2, 1950, pp. 173–181. https://doi.org/10.1093/qjmam/3.2.173
[37] , “A Multiple-Scales Model of the Shock-Cell Structure of Imperfectly Expanded Supersonic Jets,” Journal of Fluid Mechanics, Vol. 153, April 1985, pp. 123–149. https://doi.org/10.1017/S0022112085001173
[38] , “Velocity Profiles and Eddy Viscosity Distributions Downstream of a Mach 2.22 Nozzle Exhausting to Quiescent Air,” NASA TN D-3601, 1966.
[39] , “Acoustic Phenomena from Correctly Expanded Supersonic Jet Impinging on Inclined Plate,” AIAA Journal, Vol. 53, No. 7, 2015, pp. 2061–2067. https://doi.org/10.2514/1.J053953
[40] , “Effect of Nozzle–Plate Distance on Acoustic Phenomena from Supersonic Impinging Jet,” AIAA Journal, Vol. 56, No. 5, 2018, pp. 1943–1952. https://doi.org/10.2514/1.J056504
[41] , “Aeroacoustic Waves Generated from a Supersonic Jet Impinging on an Inclined Flat Plate,” International Journal of Aeroacoustics, Vol. 10, No. 4, 2011, pp. 401–425. https://doi.org/10.1260/1475-472X.10.4.401
[42] , “Plate-Angle Effects on Acoustic Waves from Supersonic Jets Impinging on Inclined Plates,” AIAA Journal, Vol. 54, No. 3, 2015, pp. 816–827. https://doi.org/10.2514/1.J054152
[43] , “The Noise from Shock Waves in Supersonic Jets-Noise Mechanism,” AGARD Cp-131, 1974.
[44] , “Influence of Initial Turbulence Level on the Flow and Sound Fields of a Subsonic Jet at a Diameter-Based Reynolds Number of,” Journal of Fluid Mechanics, Vol. 701, June 2012, pp. 352–385. https://doi.org/10.1017/jfm.2012.162
[45] , “Large Eddy Simulation of Acoustic Waves Generated from a Hot Supersonic Jet,” Shock Waves, Vol. 29, March 2019, pp. 1133–1154. https://doi.org/10.1007/s00193-019-00895-2
[46] , “Potential-Core Closing of Temporally Developing Jets at Mach Numbers Between 0.3 and 2: Scaling and Conditional Averaging of Flow and Sound Fields,” Physical Review Fluids, Vol. 4, No. 12, 2019, Paper 124601. https://doi.org/10.1103/PhysRevFluids.4.124601
[47] , “Acoustic Resonance in the Potential Core of Subsonic Jets,” Journal of Fluid Mechanics, Vol. 825, Aug. 2017, pp. 1113–1152. https://doi.org/10.1017/jfm.2017.346
[48] , “Importance of the Nozzle-Exit Boundary-Layer State in Subsonic Turbulent Jets,” Journal of Fluid Mechanics, Vol. 851, Sept. 2018, pp. 83–124. https://doi.org/10.1017/jfm.2018.476
[49] , “On the Three Families of Instability Waves of High-Speed Jets,” Journal of Fluid Mechanics, Vol. 201, April 1989, pp. 447–483. https://doi.org/10.1017/S002211208900100X
[50] , “Wavepackets and Trapped Acoustic Modes in a turbulent Jet: Coherent Structure Eduction and Global Stability,” Journal of Fluid Mechanics, Vol. 825, Aug. 2017, pp. 1153–1181. https://doi.org/10.1017/jfm.2017.407
[51] , “An Investigation of the Mach Number Dependence of Trapped Acoustic Waves in Turbulent Jets,” AIAA Paper 2019-2546, 2019. https://doi.org/10.2514/6.2019-2546
[52] , “Mach Waves Produced in the Supersonic Jet Mixing Layer by Shock/Vortex Interaction,” Shock Waves, Vol. 26, No. 3, 2016, pp. 231–240. https://doi.org/10.1007/s00193-015-0612-1
[53] , “The Instability of High Speed Jets,” International Journal of Aeroacoustics, Vol. 9, Nos. 1–2, 2010, pp. 1–50. https://doi.org/10.1260/1475-472X.9.1-2.1