Abstract
An open cavity flow exhibits intense self-sustained oscillations. This transient behavior stimulates violent pressure fluctuations because of multiple-order cavity tones. Detached eddy simulation was conducted to simulate the cavity flow at the freestream Mach number of 1.19. In order to improve the understanding of the shear layer convection processes and frequency characteristics the velocity of the flow field at cavity mid-span was studied using the dynamic mode decomposition (DMD) algorithm. The first three modes of the supersonic cavity flow were extracted to describe the flow configuration at the dominant frequencies. The two-vortices, three-vortices, and four-vortices are the corresponding first three DMD modes. The simplified mode structures are proposed to explain the flow dynamics in a supersonic cavity. When a feedback compression wave encounters the extrusion wave at a special location, an “analogous sonic boom” phenomenon appears causing violent noise in the cavity.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
C. W. Rowley and D. R. Williams, “Dynamics and control of high-Reynolds-number flow over open cavities,” Annu. Rev. Fluid Mech. 38(1), 251–276 (2005).
J. E. Rossiter, “Wind tunnel experiments on the flow over rectangular cavities at subsonic and transonic speeds,” RAE Techn. Rep. no. 3438 (1964).
C. K. W. Tam and P. W. Block, “On the tones and pressure oscillations induced by flow over rectangular cavities,” J. Fluid Mech. 89(2), 373–399 (1978).
N. Zhuang, F. S. Alvi, M. B. Alkislar, and C. Shih, “Supersonic cavity flows and theircControl,” AIAA J. 44(9), 2118–2128 (2006).
S. J. Moon, S. L. Gai, H. H. Kleine, and A. J. Neely, “Supersonic flow over straight shallow cavities including leading and trailing modifications,” AIAA-2010-4687 (2010).
R. F. Schmit, L. T. F. Semmelmayer, and L. T. M. Haverkamp, “Fourier analysis of high speed shadowgraph images around a Mach 1.5 cavity flow field,” AIAA-2011-3961 (2011).
H. Wang, P. Li, M. Sun, and J. Wei, “Entrainment characteristics of cavity shear layers in supersonic flows,” Acta Astronautica 137, 214–221 (2017).
D. G. Yang, J. Q. Li, and Z. L. Fan, “Aerodynamic characteristics of transonic and supersonic flow over rectangular cavities,” Flow, Turbulence, and Combustion 84(4), 639–652 (2006).
R. F. Schmit, J. E. Grove, and A. Ahmed, “Examining passive flow control using high speed shadowgraph images in a Mach 1.5 cavity flow field,” Intern. J. Flow Control 5(3), 153–186 (2013).
T. Colonius, “An overview of simulation, modeling, and active control of flow/acoustic resonance in open cavities,” AIAA-2001-0076 (2001).
C. W. Rowley, T. Colonius, and R. M. Murray, “Dynamical models for control of cavity oscillations,” AIAA-2001-2126 (2001).
P. J. Schmid, “Dynamic mode decomposition of numerical and experimental data,” J. Fluid Mech. 56, 5–28 (2010).
G. H. Gunaratne, D. G. Talley, J. R. Gord, and S. Roy, “Dynamic mode decomposition based analysis of shear coaxial jets with and without transverse acoustic driving,” J. Fluid Mech. 790, 5–32 (2016).
T. Sayadi, P. J. Schmid, F. Richecoeur, and D. Durox, “Parametrized data-driven decomposition for bifurcation analysis, with application to thermo-acoustically unstable systems,” Phys. Fluids 27(3), 037102-1013 (2015).
C. Pan, D. Yu, and J. Wang, “Dynamical mode decomposition of gurney flap wake flow,” Theor. Appl. Mech. Letters 1(1), 42–46 (2011).
A. Seena and H. J. Sung, “Dynamic mode decomposition of turbulent cavity flows for self-sustained oscillations,” Intern. J. Heat Fluid Flow 32, 1098–1110 (2011).
A. Wynn, D. S. Pearson, B. Ganapathisubramani, and P. J. Goulart, “Optimal mode decomposition for unsteady flows,” J. Fluid Mech. 733(10), 473–503 (2013).
M. Jovanovic and P. Schmid, “Sparsity-promoting dynamic mode decomposition,” Phys. Fluids 26(2), 561–571 (2013).
M. S. Hemati, C. W. Rowley, E. A. Deem, and L. N. Cattafesta, “De-biasing the dynamic mode decomposition for applied Koopman spectral analysis,” J. Nonlinear Sci. 25(6), 1–40 (2015).
M. S. Gritskevich, A. V. Garbaruk, J. Schutze, and F. R. Menter, “Development of DDES and IDDES formulations for the k–ω shear stress transport model,” Flow, Turbulence and Combustion 88(3), 431–449 (2012).
A. Hamed, D. Basu, and K. Das, “Detached eddy simulations of supersonic flow over cavity,” AIAA-2003-549 (2010).
R. G. Abdrashitov, E. Y. Arkhireeva, B. N. Dan’Kov, V. S. Korotaev, A. P. Kosenko, O. Yu. Popov, O. K. Strel’tsov, and I. B. Chuchkalov, “Numerical and experimental investigation of the means for reducing the aeroacoustic loads in an extended rectangular cavity at subsonic and transonic freestream velocities,” Fluid Dynamic 52(2), 239–252 (2017).
B. H. K. Lee, “Pressure waves generated at the downstream corner of a rectangular cavity.” J. Aircraft 47(3), 1064–1066 (2010).
J. C. R. Hunt, A. A. Wray, and P. Moin, “Eddies stream and convergence zones in turbulent flows,” Center for Turbulence Research, CTR-S88, 193–209 (1988).
B. N. Dan’kov, A. P. Duben’, and T. K. Kozubskaya, “Numerical modeling of the self-oscillation onset near a three-dimensional backward-facing step in a transonic flow,” Fluid Dynamics 51(4), 534–543 (2016).
H. Heller and J. Delfs, “Cavity pressure oscillations: the generating mechanism visualized,” J. Sound Vibr. 45, 248–252 (1996).
C. W. Rowley, I. Mezić, and S. Bagheri, “Spectral analysis of nonlinear flows,” J. Fluid Mech. 641, 115–127 (2009).
T. Gautam, G. Lovejeet, and A. Vaidyanathan, “Experimental study of supersonic flow over cavity with aft wall offset and cavity floor injection,” Aerospace Science & Technology 70, 211–232 (2017).
Funding
This work was supported by the Top-ranking Discipline (no. 15021540) Program of Chinese Liaoning province.
Author information
Authors and Affiliations
Corresponding authors
Additional information
Declaration of Conflicting Interests
The Authors declare no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
Russian Text © The Author(s), 2019, published in Izvestiya RAN. Mekhanika Zhidkosti i Gaza, 2019, No. 5, pp. 135–149.
Rights and permissions
About this article
Cite this article
Wang, J.M., Ming, X.J., Wang, H. et al. Flow Characteristics of a Supersonic Open Cavity. Fluid Dyn 54, 724–738 (2019). https://doi.org/10.1134/S0015462819050124
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0015462819050124