Abstract
A numerical simulation is carried out to investigate the effect of the Helmholtz resonator capacity on the Hartmann whistle operating at high values of the nozzle pressure ratio using the turbulence model. The results of the present numerical simulations are compared to experimental data. The simulation results show that the frequency and amplitude of the Hartmann whistle with the Helmholtz resonator are obviously lower as compared to the conventional Hartmann whistle. Moreover, the Mach number contours and streamlines indicate that the Helmholtz resonator does not affect the shock-cell structure between the nozzle and the cavity, and the Hartmann whistle with the Helmholtz resonator has a. jet regurgitant mode that is different from the Hartmann whistle with a. straight resonator. The diameter of the Helmholtz resonator is an important factor affecting the fundamental frequency.
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G. Raman and K. Srinivasan, “The Powered Resonance Tube: From Hartmann’s Discovery to Current Active Flow Control Applications,” Progr. Aerospace Sci. 45, 97–123 (2009); https://doi.org/10.1016/j.paerosci.2009.05.001.
V. Sarohia and H. L. Back, “Experimental Investigation of Flow and Heating in a. Resonance Tube,” Fluid Mech. 94 (4), 649–672 (1979); DOI: 10.1017/S0022112079001233.
S. Sarpotdar, G. Raman, and A. B. Cain, “Powered Resonance Tubes: Resonance Characteristics and Actuation Signal Directivity,” Exp. Fluids 39 (6), 1084–1095 (2005); DOI: 10.1007/s00348-005-0041-5.
A. Hamed, K. Das, and D. Basu, “Numerical Simulation of Unsteady Flow in Resonance Tube,” AIAA Paper No. 2002-1118 (2002); DOI: 10.2514/6.2002-1118.
A. Hamed, K. Das, and D. Basu, “Numerical Simulation and Parametric Study of Hartmann-Sprenger Tube Based Powered Device,” AIAA Paper No. 2003-0550 (2003); DOI: 10.2514/6.2003-550.
S. Murugappan and E. Gutmark, “Parametric Study of the Hartmann-Sprenger Tube,” Exp. Fluids 38 (6), 813–823 (2005); DOI: 10.1007/s00348-005-0977-5.
G. P. Xia, D. Li, and C. L. Merkle, “Effects of a. Needle on Shrouded Hartmann-Sprenger Tube Flows,” AIAA J. 45 (5), 1028–1035 (2007); DOI: 10.2514/1.18591.
G. B. Sobieraj and A. P. Szumowski, “Experimental Investigations of an Under-Expanded Jet from a. Convergent Nozzle Impinging on a. Cavity,” Sound Vibr. 149 (3), 375–396 (1991); https://doi.org/10.1016/0022-460X(91)90443-N.
C. C. Nelson, A. B. Cain, E. J. Kerschen, and G. Raman, “Simulations of Helmholtz Resonator Powered Resonance Tubes at Moderate Pressure Rations,” in Tech. Papers of the 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno (USA), January 9–12, 2006; https://doi.org/10.2514/6.2006-800.
E. J. Kerschen and A. B. Cain, “Analytical Modeling of Helmholtz Resonator Based Powered Resonance Tubes,” AIAA Paper No. 2004-2691 (2004); DOI: https://doi.org/10.2514/6.2004-2691.
A. B. Cain, E. J. Kerschen, J. M. Tassy, and G. Raman, “Simulation of Powered Resonance Tubes: Helmholtz Resonator Geometries,” in Tech. Papers of the 2nd AIAA Flow Control Conf, Portland (USA), June 28 to July 1, 2004; https://doi.org/10.2514/6.2004-2690.
S. Narayanan, “Spectra and Directivity of a. Hartmann Whistle,” J. Sound Vibr. 321, 875–892 (2009); https://doi.org/10.1016/j.jsv.2008.10.023.
P. R. Spalart and S. R. Allmaras, “A One-Equation Turbulence Model for Aerodynamic Flows,” AIAA Paper No. 92-0439 (1992); DOI: 10.2514/6.1992-439.
E. Brocher and E. Duport, “Resonance Tubes in a. Subsonic Flow Field,” AIAA J. 26 (5), 548–552 (1988); DOI: https://doi.org/10.2514/3.9932.
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Original Russian Text © Y.-S. Jong, Ch.-J. Kim, Ch.-Y. Yun.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 60, No. 6, pp. 17–24, November-December, 2019.
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Jong, YS., Kim, CJ. & Yun, CY. Effects of the Helmholtz Resonator on the Hartmann Whistle Operating at a High Nozzle Pressure Ratio. J Appl Mech Tech Phy 60, 989–995 (2019). https://doi.org/10.1134/S0021894419060026
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DOI: https://doi.org/10.1134/S0021894419060026