Vortex Shedding at the End of Parallel-plate Thermoacoustic Stack in the Oscillatory Flow Conditions
This paper investigates vortex shedding processes
occurring at the end of a stack of parallel plates, due to an oscillating
flow induced by an acoustic standing wave within an acoustic
resonator. Here, Particle Image Velocimetry (PIV) is used to quantify
the vortex shedding processes within an acoustic cycle
phase-by-phase, in particular during the “ejection" of the fluid out of
the stack. Standard hot-wire anemometry measurement is also applied
to detect the velocity fluctuations near the end of the stack.
Combination of these two measurement techniques allowed a detailed
analysis of the vortex shedding phenomena. The results obtained show
that, as the Reynolds number varies (by varying the plate thickness
and drive ratio), different flow patterns of vortex shedding are
observed by the PIV measurement. On the other hand, the
time-dependent hot-wire measurements allow obtaining detailed
frequency spectra of the velocity signal, used for calculating
characteristic Strouhal numbers. The impact of the plate thickness and
the Reynolds number on the vortex shedding pattern has been
discussed. Furthermore, a detailed map of the relationship between the
Strouhal number and Reynolds number has been obtained and
discussed.
[1] Y. J. Chung and S. H, Kang, "A study on the vortex shedding and
lock-on behind a square cylinder in an oscillatory incoming flow," JSME
International Journal, Series B, vol. 46, no 2, pp. 250-261, 2003.
[2] C. Barbi, D. P. Favier, C. A. Maresca, and D. P. Telionis, "Vortex
shedding and lock-on of a circular cylinder in oscillatory flow," Journal
of Fluid Mechanics, vol. 170, pp. 527-544, 1986.
[3] M. Tatsuno and P. W. Bearman, "A visual study of the flow around an
oscillating circular cylinder at low Keulegan-Carpenter numbers and low
Stokes numbers," Journal of Fluid Mechanics, vol. 211, pp. 157-182,
1990.
[4] A. Okajima, T. Matsumoto, and S. Kimura, "Force measurements and
flow visualization of bluff bodies in oscillatory flow," Journal of Wind
Engineering and Industrial Aerodynamics, vol. 69-71, pp. 213-228,
1997.
[5] G.W. Swift, "Thermoacoustic engines," The Journal of the Acoustical
Society of America, vol. 84, no. 4: pp.1145-1180, Oct. 1988.
[6] G.W. Swift, Thermoacoustics: A Unifying Perspective for Some Engines
and Refrigerators. New York: Acoustical Society of America, 2002, ch.
4.
[7] P. Blanc-Benon, E. Besnoin, and O. Knio "Experimental and
computational visualization of the flow field in a thermoacoustic stack,"
C.R. Mecanique, vol. 331, pp. 17 - 24, 2003.
[8] X. Mao, Z. Yu, and A. J. Jaworski, "PIV studies of coherent structures
generated at the end of a stack of parallel plates in a standing wave
acoustic field," Experiments in Fluid, vol. 45, no. 5, pp. 833-846, Nov.
2008.
[9] A. Berson, M. Michard, and P. Blanc-Benon, "Measurement of acoustic
velocity in the stack of a thermoacoustic refrigerator using particle image
velocimetry," Heat and Mass Transfer, vol. 44, no. 8, pp. 1015-1023,
2007.
[10] M. Hino, M. Sawamoto, and S Takasu, "Experiments on transition to
turbulence in an oscillatory pipe flow," Journal of Fluid Mechanics, vol.
75, part 2, pp. 193-207, 1975.
[1] Y. J. Chung and S. H, Kang, "A study on the vortex shedding and
lock-on behind a square cylinder in an oscillatory incoming flow," JSME
International Journal, Series B, vol. 46, no 2, pp. 250-261, 2003.
[2] C. Barbi, D. P. Favier, C. A. Maresca, and D. P. Telionis, "Vortex
shedding and lock-on of a circular cylinder in oscillatory flow," Journal
of Fluid Mechanics, vol. 170, pp. 527-544, 1986.
[3] M. Tatsuno and P. W. Bearman, "A visual study of the flow around an
oscillating circular cylinder at low Keulegan-Carpenter numbers and low
Stokes numbers," Journal of Fluid Mechanics, vol. 211, pp. 157-182,
1990.
[4] A. Okajima, T. Matsumoto, and S. Kimura, "Force measurements and
flow visualization of bluff bodies in oscillatory flow," Journal of Wind
Engineering and Industrial Aerodynamics, vol. 69-71, pp. 213-228,
1997.
[5] G.W. Swift, "Thermoacoustic engines," The Journal of the Acoustical
Society of America, vol. 84, no. 4: pp.1145-1180, Oct. 1988.
[6] G.W. Swift, Thermoacoustics: A Unifying Perspective for Some Engines
and Refrigerators. New York: Acoustical Society of America, 2002, ch.
4.
[7] P. Blanc-Benon, E. Besnoin, and O. Knio "Experimental and
computational visualization of the flow field in a thermoacoustic stack,"
C.R. Mecanique, vol. 331, pp. 17 - 24, 2003.
[8] X. Mao, Z. Yu, and A. J. Jaworski, "PIV studies of coherent structures
generated at the end of a stack of parallel plates in a standing wave
acoustic field," Experiments in Fluid, vol. 45, no. 5, pp. 833-846, Nov.
2008.
[9] A. Berson, M. Michard, and P. Blanc-Benon, "Measurement of acoustic
velocity in the stack of a thermoacoustic refrigerator using particle image
velocimetry," Heat and Mass Transfer, vol. 44, no. 8, pp. 1015-1023,
2007.
[10] M. Hino, M. Sawamoto, and S Takasu, "Experiments on transition to
turbulence in an oscillatory pipe flow," Journal of Fluid Mechanics, vol.
75, part 2, pp. 193-207, 1975.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:59672", author = "Lei Shi and Zhibin Yu and Artur J. Jaworski and Abdulrahman S. Abduljalil", title = "Vortex Shedding at the End of Parallel-plate Thermoacoustic Stack in the Oscillatory Flow Conditions", abstract = "This paper investigates vortex shedding processes
occurring at the end of a stack of parallel plates, due to an oscillating
flow induced by an acoustic standing wave within an acoustic
resonator. Here, Particle Image Velocimetry (PIV) is used to quantify
the vortex shedding processes within an acoustic cycle
phase-by-phase, in particular during the “ejection" of the fluid out of
the stack. Standard hot-wire anemometry measurement is also applied
to detect the velocity fluctuations near the end of the stack.
Combination of these two measurement techniques allowed a detailed
analysis of the vortex shedding phenomena. The results obtained show
that, as the Reynolds number varies (by varying the plate thickness
and drive ratio), different flow patterns of vortex shedding are
observed by the PIV measurement. On the other hand, the
time-dependent hot-wire measurements allow obtaining detailed
frequency spectra of the velocity signal, used for calculating
characteristic Strouhal numbers. The impact of the plate thickness and
the Reynolds number on the vortex shedding pattern has been
discussed. Furthermore, a detailed map of the relationship between the
Strouhal number and Reynolds number has been obtained and
discussed.", keywords = "Oscillatory flow, Parallel-plate thermoacoustic stack,
Strouhal numbers, Vortex shedding.", volume = "3", number = "1", pages = "84-8", }