Abstract
Oscillating flow near the end of a stack of parallel plates placed in a standing wave resonator is investigated using particle image velocimetry (PIV). The Reynolds number, Re d , based on the plate thickness and the velocity amplitude at the entrance to the stack, is controlled by varying the acoustic excitation (so-called drive ratio) and by using two configurations of the stacks. As the Reynolds number changes, a range of distinct flow patterns is reported for the fluid being ejected from the stack. Symmetrical and asymmetrical vortex shedding phenomena are shown and two distinct modes of generating “vortex streets” are identified.
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References
Al-Asmi K, Castro IP (1992) Vortex shedding in oscillatory flow: geometrical effects. Flow Meas Instrum 3:187–202
Auger JL, Coutanceau J (1978) On the complex structure of the downstream flow of cylindrical tube rows at various spacings, Mech Res Commun 5:297–302
Bachelor GK (2000) An introduction to fluid dynamics. Cambridge University Press, Cambridge
Badr HM, Dennis SCR, Kocabiyik S, Nguyen P (1995) Viscous oscillatory flow about a circular cylinder at small to moderate Strouhal number. J Fluid Mech 303:215–232
Barbi C, Favier DP, Maresca CA, Telionis DP (1986) Vortex shedding and lock-on of a circular cylinder in oscillatory flow. J Fluid Mech 170:527–544
Bearman PW, Downie MJ, Graham JMR, Obasaju ED (1985) Forces on cylinders in viscous oscillatory flow at low Keulegan-Carpenter numbers. J Fluid Mech 154:337–356
Blanc-Benon Ph, Besnoin E, Knio O (2003) Experimental and computational visualization of the flow field in a thermoacoustic stack. C.R. Mecanique 331:17–24
Bunderson NE, Smith BL (2005) Passive mixing control of plane parallel jets. Exp Fluid 39:66–74
Chung YJ, Kang SH (2003) A study on the vortex shedding and lock-on behind a square cylinder in an oscillatory incoming flow. JSME Int J Ser B 46:250–261
De Bernardinis B, Graham JMR, Parker KH (1981) Oscillatory flow around disks and through orifices. J Fluid Mech 102:279–299
Gopinath A, Harder DR (2000) An experimental study of heat transfer from a cylinder in low-amplitude zero-mean oscillatory Flows. Int J Heat Mass Transf 43:505–520
Guillaume DW, LaRue JC (2002) Comparison of the numerical and experimental flowfield downstream of a plate array. Trans ASME J Fluid Eng 124:284–286
Hayashi M, Sakurai A, Ohya J (1986) Wake interference of a row of normal flat plates arranged side by side in a uniform flow. J Fluid Mech 164:1–25
Iliadis G, Anagnostopoulos P (1998) Viscous oscillatory flow around a circular cylinder at low Keulegan-Carpenter numbers and frequency parameters. Int J Numer Method Fluid 26:403–442
Kovasznay LSG (1949) Hot-Wire Investigation of the Wake behind Cylinders at Low Reynolds Numbers, Proceedings of the Royal Society of London. Ser A Math Phys Sci 198(1053):174–190
Lee T, Budwig R (1991) The onset and development of circular-cylinder vortex wakes in uniformly accelerating flows. J Fluid Mech 232:611–627
Le Gal P, Peschard I, Chauve MP, Takeda Y (1996) Collective behaviour of wakes downstream a row of cylinders. Phys Fluid 8:2097–2106
Lin XW, Bearman PW, Graham JMR (1996) A numerical study of oscillatory flow about a circular cylinder for low values of beta parameter. J Fluid Struct 10:501–526
Mao X, Marx D, Jaworski AJ (2005) PIV measurement of coherent structures and turbulence created by an oscillating flow at the end of a thermoacoustic stack. In: Proceedings of the iTi conference in turbulence, Bad-Zwishenahn, Germany, 25–28 September
Marx D, Mao X, Jaworski AJ (2006) Acoustic coupling between the loudspeaker and the resonator in a standing-wave thermoacoustic device. Appl Acoust 67:402–419
Moretti PM (1993) Flow induced vibrations in arrays of cylinders. Annu Rev Fluid Mech 25:99–114
Obasaju ED, Bearman PW, Graham JMR (1988) A study of forces, circulation and vortex patterns around a circular cylinder in oscillating flow. J Fluid Mech 196:467–494
Okajima A, Matsumoto T, Kimura S (1997) Force measurements and flow visualization of bluff bodies in oscillatory flow. J Wind Eng Ind Aerodynamics 69–71:213–228
Ralph ME (1986) Oscillatory flows in wavy-walled tubes. J Fluid Mech 168:518–540
Roberts EPL, Mackley MR (1996) The development of asymmetry and period doubling for oscillatory flow in baffled channels. J Fluid Mech 328:19–48
Sumer BM, Jensen BL, Fredsbe J (1991) Effect of a plane boundary on oscillatory flow around a circular cylinder. J Fluid Mech 225:271–300
Swift GW (1988) Thermoacoustic engines. J Acoust Soc Am 84:1145–1180
Swift GW (2002) Thermoacoustics: a unifying perspective for some engines and refrigerators. Acoustical Society of America, New York
Tatsuno M, Bearman PW (1990) A visual study of the flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers and low Stokes numbers. J Fluid Mech 211:157–182
Ward B, Swift GW (2001) Design environment for low-amplitude thermoacoustic engines (DeltaE). Tutorial and User’s Guide, Los Alamos National Laboratory
Yellin EL (1966) Laminar-turbulent transition process in pulsatile flow. Circ Res 19:791–804
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The authors would like to acknowledge the support received from the Engineering and Physical Sciences Research Council (EPSRC), UK and Universities, UK.
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Mao, X., Yu, Z., Jaworski, A.J. et al. PIV studies of coherent structures generated at the end of a stack of parallel plates in a standing wave acoustic field. Exp Fluids 45, 833–846 (2008). https://doi.org/10.1007/s00348-008-0503-7
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DOI: https://doi.org/10.1007/s00348-008-0503-7