Applied Mathematics and Mechanics >
Mode transition and oscillation suppression in supersonic cavity flow
Received date: 2015-11-10
Revised date: 2016-03-02
Online published: 2016-07-01
Supported by
Project supported by the National Natural Science Foundation of China (Nos. 11232011 and 11402262), the 111 Project of China (No. B07033), the China Postdoctoral Science Foundation (No. 2014M561833), and the Fundamental Research Funds for the Central Universities
Supersonic flows past two-dimensional cavities with/without control are investigated by the direct numerical simulation (DNS). For an uncontrolled cavity, as the thickness of the boundary layer declines, transition of the dominant mode from the steady mode to the Rossiter Ⅱ mode and then to the Rossiter Ⅲ mode is observed due to the change of vortex-corner interactions. Meanwhile, a low frequency mode appears. However, the wake mode observed in a subsonic cavity flow is absent in the current simulation. The oscillation frequencies obtained from a global dynamic mode decomposition (DMD) approach are consistent with the local power spectral density (PSD) analysis. The dominant mode transition is clearly shown by the dynamic modes obtained from the DMD. A passive control technique of substituting the cavity trailing edge with a quarter-circle is studied. As the effective cavity length increases, the dominant mode transition from the Rossiter Ⅱ mode to the Rossiter Ⅲ mode occurs. With the control, the pressure oscillations are reduced significantly. The interaction of the shear layer and the recirculation zone is greatly weakened, combined with weaker shear layer instability, responsible for the suppression of pressure oscillations. Moreover, active control using steady subsonic mass injection upstream of a cavity leading edge can stabilize the flow.
Chao ZHANG, Zhenhua WAN, Dejun SUN . Mode transition and oscillation suppression in supersonic cavity flow[J]. Applied Mathematics and Mechanics, 2016 , 37(7) : 941 -956 . DOI: 10.1007/s10483-016-2095-9
[1] Cattafesta, L., Shukla, D., Garg, S., and Ross, J. Development of an adaptive weapons-bay suppression system. The 5th AIAA/CEAS Aeroacoustics Conference and Exhibit, American Institute of Aeronautics and Astronautics, Reston, 676-682(1999)
[2] Stallings, R. L. and Wileox, F. J. Experimental cavity pressure distributions at supersonic speeds. NASA Technical Paper 2683, NASA Langley Research Center, Virginia (1987)
[3] Rossiter, J. E. Wind-tunnel experiments on the flow over rectangular cavities at subsonic and transonic speeds. No. 64037, Royal Aircraft Establishment Technical Report, Farnborough (1964)
[4] Heller, H. H. and Bliss, D. B. The physical mechanism of flow induced pressure fluctuations in cavities and concepts for their suppression. AIAA 2nd Aero-Acoustics Conference, American Institute of Aeronautics and Astronautics, Reston (1975)
[5] Rowley, C. W. and Williams, D. R. Dynamics and control of high-Reynolds-number flow over open cavities. Annual Review of Fluid Mechanics, 38, 251-276(2006)
[6] Tam, C. K. W. and Block, P. J. W. On the tones and pressure oscillations induced by flow over rectangular cavities. Journal of Fluid Mechanics, 89(2), 373-399(1978)
[7] Colonius, T., Basu, A. J., and Rowley, C. W. Numerical investigation of the flow past a cavity. The 5th AIAA/CEAS Aeroacoustics Conference, American Institute of Aeronautics and Astronautics, Reston (1999)
[8] Rowley, C. W., Colonius, T., and Basu, A. J. On self-sustained oscillations in two-dimensional compressible flow over rectangular cavities. Journal of Fluid Mechanics, 455, 315-346(2002)
[9] Rubio, G., de Roeck, W., Baelmans, M., and Desmet, W. Numerical identification of flow-induced oscillation modes in rectangular cavities using large eddy simulation. International Journal for Numerical Methods in Fluids, 53, 851-866(2007)
[10] Gharib, M. and Roshko, A. The effect of flow oscillations on cavity drag. Journal of Fluid Mechanics, 177, 501-530(1987)
[11] Schmid, P. J. Dynamic mode decomposition of numerical and experimental data. Journal of Fluid Mechanics, 656, 5-28(2010)
[12] Schmid, P. J., Li, L., Juniper, M. P., and Pust, O. Applications of the dynamic mode decomposition. Theoretical and Computational Fluid Dynamics, 25, 249-259(2011)
[13] Wan, Z., Yang, H., Zhou, L., and Sun, D. Mode decomposition of a noise suppressed mixing layer. Theoretical and Applied Mechanics Letters, 3(4), 042007(2013)
[14] Seena, A. and Sung, H. J. Dynamic mode decomposition of turbulent cavity flows for self-sustained oscillations. International Journal of Heat and Fluid Flow, 32, 1098-1110(2011)
[15] Williams, D. R. and Rowley, C. W. Recent progress in closed-loop control of cavity tones. The 44th AIAA Aerospace Sciences Meeting and Exhibit, American Institute of Aeronautics and Astronautics, Reston (2006)
[16] Cattafesta, L. N., Song, Q., Williams, D. R., Rowley, C. W., and Alvi, F. S. Active control of flow-induced cavity oscillations. Progress in Aerospace Sciences, 44, 479-502(2008)
[17] Dudley, J. G. and Ukeiley, L. Detached eddy simulation of a supersonic cavity flow with and without passive flow control. The 20th AIAA Computational Fluid Dynamics Conference, American Institute of Aeronautics and Astronautics, Reston (2011)
[18] Vikramaditya, N. S. and Kurian, J. Pressure oscillations from cavities with ramp. AIAA Journal, 47, 2974-2984(2009)
[19] Vikramaditya, N. S. and Kurian, J. Experimental study of influence of trailing wall geometry on cavity oscillations in supersonic flow. Experimental Thermal and Fluid Science, 54, 102-109(2014)
[20] Alam, M., Matsuo, S., Teramoto, K., Setoguchi, T., and Kim, H. D. A new method of controlling cavity-induced pressure oscillations using sub-cavity. Journal of Mechanical Science and Technology, 21, 1398-1407(2007)
[21] Lee, Y. K., Kang, M. S., Kim, H. D., and Setoguchi, T. Passive control techniques to alleviate supersonic cavity flow oscillation. Journal of Propulsion and Power, 24, 697-703(2008)
[22] Zhuang, N., Alvi, F. S., and Shih, C. Another look at supersonic cavity flows and their control. The 11th AIAA/CEAS Aeroacoustics Conference (26th AIAA Aeroacoustics Conference), American Institute of Aeronautics and Astronautics, Reston (2005)
[23] Lusk, T., Cattafesta, L., and Ukeiley, L. Leading edge slot blowing on an open cavity in supersonic flow. Experiments in Fluids, 53, 187-199(2012)
[24] Li, W., Nonomura, T., and Fujii, K. Mechanism of controlling supersonic cavity oscillations using upstream mass injection. Physics of Fluids, 25, 086101(2013)
[25] Kurganov, A. and Tadmor, E. New High-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Journal of Computational Physics, 160, 241-282(2000)
[26] Zhang, X. and Edwards, J. A. An investigation of supersonic oscillatory cavity flows driven by thick shear layers. Aeronautical Journal, 94, 355-364(1990)
[27] Nishioka, M., Asai, T., Sakaue, S., and Shirai, K. Some thoughts on the mechanism of supersonic cavity flow oscillation, part 2, a new formula for the oscillation frequency. Journal of Japan Society of Fluid Mechanics, 21, 368-378(2002)
[28] Peng, S. H. Simulation of turbulent flow past a rectangular open cavity using DES and unsteady RANS. The 24th Applied Aerodynamics Conference, American Institute of Aeronautics and Astronautics, Reston (2006)
[29] Sarohia, V. Experimental investigation of oscillations in flows over shallow cavities. AIAA Journal, 15, 984-991(1977)
[30] Rockwell, D. and Knisely, C. Vortex-edge interaction:mechanisms for generating low frequency components. Physics of Fluids, 23(2), 239-240(1980)
[31] Knisely, C. and Rockwell, D. Self-sustained low-frequency components in an impinging shear layer. Journal of Fluid Mechanics, 116, 157-186(1982)
[32] Gloerfelt, X., Bailly, C., and Juvé, D. Direct computation of the noise radiated by a subsonic cavity flow and application of integral methods. Journal of Sound and Vibration, 266, 119-146(2003)
/
| 〈 |
|
〉 |
Email Alert
RSS