Abstract
The hybrid numerical technique coupled with the vortex method for simulation of viscous incompressible flow and the Ffowcs William-Hawkings acoustic analogy is applied to the investigation of hydrodynamic and acoustic fields generated by a two-dimensional open cylindrical cavity. The problem is considered for a thin laminar boundary layer before the cavity and with the Reynolds number of Re = 2 ⋅ 104, based on the cavity chord. The obtained results indicate that the cavity flow oscillates in the shear-layer mode and radiates a dipole in the far acoustic field so that the sound intensity in the backward direction is higher than in the forward direction. The effectiveness of controlling of the flow oscillations by applying steady suction through the rear cavity wall is studied. The results show that the suction allows us to localize the vortical flow inside the cavity when saving the mode of self-sustained oscillations in the shear layer. The vortices generated in the shear layer do not hit the trailing edge now but are absorbed by the suction causing the rise of pressure fluctuations in the vicinity of suction point. As a result, the obtained levels of radiated sound are much higher than in the uncontrolled cavity flow. The obtained positive effect of the suction on the cavity flow is that it suppresses the pressure fluctuations on the wall portion behind the cavity that leads to stabilization of the attached boundary layer.
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References
Voskoboinick, V., Kornev, N., Turnow, J.: Study of near wall coherent flow structures on dimpled surfaces using unsteady pressure measurements. Flow Turbul. Combust. 90(2), 86–99 (2013)
Gregorio, F., Fraioli, G.: Flow control on a high thickness airfoil by a trapped vortex cavity. In: Proceedings of 14th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 7–10 July, p. 112 (2008)
East, L.F.: Aerodynamically induced resonance in rectangular cavities. J. Sound Vib. 3(3), 277–287 (1996)
Stallings, R. Jr., Wilcox, F. Jr.: Experimental cavity pressure distributions at supersonic speeds. Technical Paper 2683, NASA, June 1987
Gharib, M., Roshko, A. The effect of flow oscillations on cavity drag. J. Fluid Mech. 177, 501–530 (1987)
Rockwell, D., Naudascher, E.: Review: self-sustaining oscillations of flow past cavities. J. Fluids Eng. 100, 152–165 (1978)
Rossiter, J.E.: Wind tunnel experiments on the flow over rectangular cavities at subsonic and transonic speeds. ARC Reports and Memoranda, 3438 (1964)
Lin, J.-C., Rockwell, D. Organized oscillations of initially turbulent flow past a cavity. AIAA J. 39(6), 1139–1151 (2001)
Rowley, C.W., Williams, D.R.: Dynamics and control of high-Reynolds-number flow over open cavities. Annu. Rev. Fluid Mech. 38, 251276 (2006)
Cattafesta, L.N., Song, Q., Williams, D.R., et al.: Active control of flow-induced cavity oscillations. Prog. Aerosp. Sci. 44(7), 7479502 (2008)
Shao, W., Li, J.: Subsonic flow over open cavities. Part 2: passive control methods. In: Proceedings of ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition, GT2016, , Seoul 13–17 June 2016
Suponitsky, V., Avital, E., Gaster, M.: On three-dimensionality and control of incompressible cavity flow. Phys. Fluids. 17(10), 104103 (2005)
Mkhitaryan, A.M., Lukashuk, S.A., Trubenok, V.D., Fridland, V.Y.: Influence of spoilers on the aerodynamic characteristics of a wing and a solid of revolution [in Russian]. Naukova Dumka, Kyiv, 254–263 (1966)
Ringleb F.O.: Two-dimensional flow with standing vortex in ducts and diffusers. Trans. ASME. J. Basic Eng. 10, 921–927 (1960)
Gorban, I.M., Khomenko, O.V.: Active near-wall flow control via a cross groove with suction. In: Zgurovsky, M.Z., Sadovnichiy, V.A. (eds.) Studies in Systems, Decision and Control. Continuous and Distributed Systems II: Theory and Applications, vol. 30, pp. 353–367. Springer, Berlin (2015)
Cottet, G.-H., Koumoutsakos, P.: Vortex Methods: Theory and Practice. Cambridge University Press, London (2000)
Vortex methods.: Proceeds of the 1-st International Conference of Vortex Motions. Kamemoto, K., Tsutahara, M. (eds.). World Scientific, Singapore (2000)
Gorban, V., Gorban, I.: Vortical flow structure near a square prism: numerical model and algorithms of control [in Ukrainian]. J. Appl. Hydromech. 7, 8–26 (2005)
Gorban, I.M., Khomenko, O.V.: Flow control near a square prism with the help of frontal flat plates. In: Zgurovsky, M.Z., Sadovnichiy, V.A. (eds.) Studies in Systems, Decision and Control. Advances in Dynamical Systems and Control, vol. 69, pp. 327–350. Springer, Berlin (2016)
Lockard, D.P.: An efficient, two-dimensional implementation of the Ffowcs Williams and Hawkings equation. J. Sound Vib. 229(4), 897–911 (2000)
Guo, Y.P.: Application of the Ffowcs Williams-Hawkings equation to two-dimensional problems. J. Fluid Mech. 403, 201–221 (2000)
Filchakov, P.F: Approximate methods of conformal mappings [in Russian]. K. Naukova Dumka, Kiev (1964)
Wu, J.C.: Numerical boundary conditions for viscous flow problems. AIAA J. 14(8), 1042–1049 (1976)
Lamb, G.: Hydromechanics. Cambridge University Press, London (1916)
Schlichting, H.: Boundary-Layer Theory. McGraw-Hill, New York (1979)
Larsson, J., et al.: Aeroacoustic investigation of an open cavity at low Mach number. AIAA J. 42(12), 2462–2473 (2004)
Ozsoy, E., Rambaud, P., Stitou, A., Riethmuller, M.L.: Vortex characteristics in laminar cavity flow at very low Mach number. Exp. Fluid. 38, 133–145 (2005)
Gloerfelt, X., Bogey, C., Bailly, C., Juvé D.: Aerodynamic noise induced by laminar and turbulent boundary layers over rectangular cavities. AIAA Paper 2002–2476 (2002)
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Basovsky, V.G., Gorban, I.M., Khomenko, O.V. (2019). Modification of Hydrodynamic and Acoustic Fields Generated by a Cavity with Fluid Suction. In: Sadovnichiy, V., Zgurovsky, M. (eds) Modern Mathematics and Mechanics. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-96755-4_9
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