Effects of Synthetic Jet in Suppressing Cavity Oscillations
The three-dimensional incompressible flow past a
rectangular open cavity is investigated, where the aspect ratio of the
cavity is considered as 4. The principle objective is to use large-eddy
simulation to resolve and control the large-scale structures, which are
largely responsible for flow oscillations in a cavity. The flow past an
open cavity is very common in aerospace applications and can be a
cause of acoustic source due to hydrodynamic instability of the shear
layer and its interactions with the downstream edge. The unsteady
Navier-stokes equations have been solved on a staggered mesh using
a symmetry-preserving central difference scheme. Synthetic jet has
been used as an active control to suppress the cavity oscillations in
wake mode for a Reynolds number of ReD = 3360. The effect of
synthetic jet has been studied by varying the jet amplitude and
frequency, which is placed at the upstream wall of the cavity. The
study indicates that there exits a frequency band, which is larger than
a critical value, is effective in attenuating cavity oscillations when
blowing ratio is more than 1.0.
[1] G. Ashcroft and X. Zhang, "Vortical Structures over Rectangular
Cavities at Low speed," Physics of Fluids, vol.17, No.1, pp. 015104-1ÔÇö
015104-8, 2005.
[2] V. Sarohia, "Experimental investigation of oscillations in flows over
shallow cavities," AIAA Journal, vol.15, pp. 984-991, 1977.
[3] D. Rockwell and E. Naudascher, "ReviewÔÇöSelf-sustaining oscillations
of flow past cavities," ASME Journal of Fluids Engineering, vol.100,
pp. 152-165, 1978.
[4] D. Rockwell and C. Knisely, "Observation of the three-dimensional
nature of unstable flow past a cavity," Physics of Fluids, vol.23, pp.
425-431, 1980.
[5] J. C. F. Pereira and J. M. M. Sousa, "Influence of impingement edge
geometry on cavity flow oscillations," AIAA Journal, vol.32, pp. 1737-
1740, 1994.
[6] J. C. F. Pereira and J. M. M. Sousa, "Experimental and numerical
investigation of flow oscillations in a rectangular cavity," ASME
Journal of Fluids Engineering, vol.117, pp. 68-73, 1995.
[7] C. W. Rowley, T. Colonius and A. J. Basu, "On self-sustained
oscillations in two-dimensional compressible flow over rectangular
cavities," Journal of Fluid Mechanics, vol.455, pp. 315-346, 2002.
[8] A. Hamed, D. Basu, D. Mohamed and K. Das, "Direct Numerical
Simulations of High Speed Flow over Cavity," Proceedings (TAICDL),
August 5-9, 2001.
[9] T. Colonius, A. J. Basu and C. W. Rowley, "Numerical Investigation of
the Flow Past a Cavity," AIAA Paper, 99-1912, 10-12 May, 1999.
[10] K. Chang, G. Constantinescu and S. O. Park, "Analysis of the flow and
mass transfer processes for the incompressible flow past an open cavity
with a laminar and a fully turbulent incoming boundary layer," Journal
of Fluid Mechanics, vol.561, pp. 113-145, 2006.
[11] D. P. Rizzetta and M. R. Visbal, "Large Eddy Simulation of Supersonic
Cavity Flow fields Including Flow Control," AIAA Paper, 2002-2853,
24-26 June, 2002.
[12] S. Arunajatesan, J. D. Shipman and N. Sinha, "Hybrid RANS-LES
Simulation of Cavity Flow Fields with Control," AIAA Paper, 2002-
1130, 14-17 January, 2002.
[13] D. Basu, A. Hamed and K. Das, "DES and Hybrid RANS/LES models
for unsteady separated turbulent flow predictions," AIAA Paper, 2005-
0503, 10-13 January, 2005.
[14] M. E. Franke and R. Sarno, "Suppression of Flow Induced Pressure
Oscillations in Cavities," AIAA Paper, 90-4018, October 1990.
[15] S. McGrath and L. Shaw, "Active Control of Shallow Cavity Acoustic
Resonance," AIAA Paper, 96-1949, 17-20 June, 1996.
[16] M. J. Stanek, J. A. Ross, J. Odedra and J. Peto, "High Frequency
Acoustic Suppression-The Mystery of the Rod-in-Crossflow Revealed,"
AIAA Paper, 2003-0007, 6-9 January, 2003.
[17] A. D. Vakili and C. Gauthier, "Control of Cavity Flow by Upstream
Mass-Injection," Journal of Aircraft, vol.31, No.1, pp. 169-174, 1994.
[18] V. Suponitsky, E. Avital and M. Gaster, "On three-dimensionality and
control of incompressible cavity flow," Physics of Fluids, vol.17, pp.
104103-1ÔÇö104103-19, 2005.
[19] M. J. Stanek, M. R. Visbal, D. P. Rizzetta, S. G. Rubin and P. K.
Khosla, "On a mechanism of stabilizing turbulent free shear layers in
cavity flows," Computers & Fluids, vol.36, pp. 1621-1637, 2007.
[20] A. Kourta and E. Vitale, "Analysis and control of cavity flow," Physics
of Fluids, vol.20, pp. 077104-1--077104-10, 2008.
[21] K. Das, A. Hamed and D. Basu, "Numerical Investigations Of Transonic
Cavity Flow Control Using Steady And Pulsed Fluidic Injection,"
Proceedings of FEDSM 2005-77422, ASME FEDSM, 19-23 June,
2005.
[22] M. Germano, U. Piomelli, P. Moin and W. H. Cabot, "A dynamic
subgrid-scale eddy viscosity model," Physics of Fluids A, vol.3, pp.
1760-1765, 1991.
[23] D. K. Lilly, "A proposed modification of the Germano subgrid-scale
closure method," Physics of Fluids A, vol.4, pp. 633-635, 1992.
[24] S. Sarkar and P. R. Voke, "Large-eddy simulation of unsteady surface
pressure on a LP turbine blade due to interactions of passing wakes and
inflexional boundary layer," ASME Journal of Turbomachinery,
vol.128, pp. 221-231, 2006.
[25] S. Sarkar, "Identification of flow structures on a LP turbine blade due to
periodic passing wakes," ASME Journal of Fluids Engineering, vol.130,
pp. 061103-1--061103-10, 2008.
[26] S. Sarkar and Sudipto Sarkar, "Large-Eddy Simulation of Wake and
Boundary Layer Interactions behind a Circular Cylinder," ASME
Journal of Fluids Engineering, vol.131, pp. 091201-1ÔÇö091201-13,
2009.
[27] P. Moin and J. Kim, "On the numerical solution of time dependent
viscous incompressible fluid flows involving solid boundaries," Journal
of Computational Physics, vol.35, pp. 381-392, 1980.
[28] M. Gharib and A. Roshko, "The effect of flow oscillations on cavity
drag," Journal of Fluid Mechanics, vol.177, pp. 501-530, 1987.
[29] D. Rockwell and C. Knisely, "Vortex-edge interaction: Mechanism for
generating low frequency components," Physics of Fluids, vol.23, No.2,
pp. 239-240, 1979.
[30] H. Schlichting, "Boundary Layer Theory", 7th Edition, McGraw-Hill
Book Co, New York (1979).
[31] D. Rockwell, "Prediction of oscillation frequencies for unstable flow
past cavities", Journal of Fluids Engineering, Vol. 99, pp 294-300,
1977.
[32] M. Kiya and K. Sasaki, "Structure of large-scale vortices and unsteady
reverse flow in the reattaching zone of a turbulent separation bubble",
Journal of Fluid Mechanics, Vol. 154, pp. 463-491, 1985.
[33] Y. Na and P. Moin, "Direct Numerical Simulation of a separated
turbulent boundary layer", Journal of Fluid Mechanics, Vol. 374, pp.
379-405, 1998.
[1] G. Ashcroft and X. Zhang, "Vortical Structures over Rectangular
Cavities at Low speed," Physics of Fluids, vol.17, No.1, pp. 015104-1ÔÇö
015104-8, 2005.
[2] V. Sarohia, "Experimental investigation of oscillations in flows over
shallow cavities," AIAA Journal, vol.15, pp. 984-991, 1977.
[3] D. Rockwell and E. Naudascher, "ReviewÔÇöSelf-sustaining oscillations
of flow past cavities," ASME Journal of Fluids Engineering, vol.100,
pp. 152-165, 1978.
[4] D. Rockwell and C. Knisely, "Observation of the three-dimensional
nature of unstable flow past a cavity," Physics of Fluids, vol.23, pp.
425-431, 1980.
[5] J. C. F. Pereira and J. M. M. Sousa, "Influence of impingement edge
geometry on cavity flow oscillations," AIAA Journal, vol.32, pp. 1737-
1740, 1994.
[6] J. C. F. Pereira and J. M. M. Sousa, "Experimental and numerical
investigation of flow oscillations in a rectangular cavity," ASME
Journal of Fluids Engineering, vol.117, pp. 68-73, 1995.
[7] C. W. Rowley, T. Colonius and A. J. Basu, "On self-sustained
oscillations in two-dimensional compressible flow over rectangular
cavities," Journal of Fluid Mechanics, vol.455, pp. 315-346, 2002.
[8] A. Hamed, D. Basu, D. Mohamed and K. Das, "Direct Numerical
Simulations of High Speed Flow over Cavity," Proceedings (TAICDL),
August 5-9, 2001.
[9] T. Colonius, A. J. Basu and C. W. Rowley, "Numerical Investigation of
the Flow Past a Cavity," AIAA Paper, 99-1912, 10-12 May, 1999.
[10] K. Chang, G. Constantinescu and S. O. Park, "Analysis of the flow and
mass transfer processes for the incompressible flow past an open cavity
with a laminar and a fully turbulent incoming boundary layer," Journal
of Fluid Mechanics, vol.561, pp. 113-145, 2006.
[11] D. P. Rizzetta and M. R. Visbal, "Large Eddy Simulation of Supersonic
Cavity Flow fields Including Flow Control," AIAA Paper, 2002-2853,
24-26 June, 2002.
[12] S. Arunajatesan, J. D. Shipman and N. Sinha, "Hybrid RANS-LES
Simulation of Cavity Flow Fields with Control," AIAA Paper, 2002-
1130, 14-17 January, 2002.
[13] D. Basu, A. Hamed and K. Das, "DES and Hybrid RANS/LES models
for unsteady separated turbulent flow predictions," AIAA Paper, 2005-
0503, 10-13 January, 2005.
[14] M. E. Franke and R. Sarno, "Suppression of Flow Induced Pressure
Oscillations in Cavities," AIAA Paper, 90-4018, October 1990.
[15] S. McGrath and L. Shaw, "Active Control of Shallow Cavity Acoustic
Resonance," AIAA Paper, 96-1949, 17-20 June, 1996.
[16] M. J. Stanek, J. A. Ross, J. Odedra and J. Peto, "High Frequency
Acoustic Suppression-The Mystery of the Rod-in-Crossflow Revealed,"
AIAA Paper, 2003-0007, 6-9 January, 2003.
[17] A. D. Vakili and C. Gauthier, "Control of Cavity Flow by Upstream
Mass-Injection," Journal of Aircraft, vol.31, No.1, pp. 169-174, 1994.
[18] V. Suponitsky, E. Avital and M. Gaster, "On three-dimensionality and
control of incompressible cavity flow," Physics of Fluids, vol.17, pp.
104103-1ÔÇö104103-19, 2005.
[19] M. J. Stanek, M. R. Visbal, D. P. Rizzetta, S. G. Rubin and P. K.
Khosla, "On a mechanism of stabilizing turbulent free shear layers in
cavity flows," Computers & Fluids, vol.36, pp. 1621-1637, 2007.
[20] A. Kourta and E. Vitale, "Analysis and control of cavity flow," Physics
of Fluids, vol.20, pp. 077104-1--077104-10, 2008.
[21] K. Das, A. Hamed and D. Basu, "Numerical Investigations Of Transonic
Cavity Flow Control Using Steady And Pulsed Fluidic Injection,"
Proceedings of FEDSM 2005-77422, ASME FEDSM, 19-23 June,
2005.
[22] M. Germano, U. Piomelli, P. Moin and W. H. Cabot, "A dynamic
subgrid-scale eddy viscosity model," Physics of Fluids A, vol.3, pp.
1760-1765, 1991.
[23] D. K. Lilly, "A proposed modification of the Germano subgrid-scale
closure method," Physics of Fluids A, vol.4, pp. 633-635, 1992.
[24] S. Sarkar and P. R. Voke, "Large-eddy simulation of unsteady surface
pressure on a LP turbine blade due to interactions of passing wakes and
inflexional boundary layer," ASME Journal of Turbomachinery,
vol.128, pp. 221-231, 2006.
[25] S. Sarkar, "Identification of flow structures on a LP turbine blade due to
periodic passing wakes," ASME Journal of Fluids Engineering, vol.130,
pp. 061103-1--061103-10, 2008.
[26] S. Sarkar and Sudipto Sarkar, "Large-Eddy Simulation of Wake and
Boundary Layer Interactions behind a Circular Cylinder," ASME
Journal of Fluids Engineering, vol.131, pp. 091201-1ÔÇö091201-13,
2009.
[27] P. Moin and J. Kim, "On the numerical solution of time dependent
viscous incompressible fluid flows involving solid boundaries," Journal
of Computational Physics, vol.35, pp. 381-392, 1980.
[28] M. Gharib and A. Roshko, "The effect of flow oscillations on cavity
drag," Journal of Fluid Mechanics, vol.177, pp. 501-530, 1987.
[29] D. Rockwell and C. Knisely, "Vortex-edge interaction: Mechanism for
generating low frequency components," Physics of Fluids, vol.23, No.2,
pp. 239-240, 1979.
[30] H. Schlichting, "Boundary Layer Theory", 7th Edition, McGraw-Hill
Book Co, New York (1979).
[31] D. Rockwell, "Prediction of oscillation frequencies for unstable flow
past cavities", Journal of Fluids Engineering, Vol. 99, pp 294-300,
1977.
[32] M. Kiya and K. Sasaki, "Structure of large-scale vortices and unsteady
reverse flow in the reattaching zone of a turbulent separation bubble",
Journal of Fluid Mechanics, Vol. 154, pp. 463-491, 1985.
[33] Y. Na and P. Moin, "Direct Numerical Simulation of a separated
turbulent boundary layer", Journal of Fluid Mechanics, Vol. 374, pp.
379-405, 1998.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:55795", author = "S. Sarkar and R. Mandal", title = "Effects of Synthetic Jet in Suppressing Cavity Oscillations", abstract = "The three-dimensional incompressible flow past a
rectangular open cavity is investigated, where the aspect ratio of the
cavity is considered as 4. The principle objective is to use large-eddy
simulation to resolve and control the large-scale structures, which are
largely responsible for flow oscillations in a cavity. The flow past an
open cavity is very common in aerospace applications and can be a
cause of acoustic source due to hydrodynamic instability of the shear
layer and its interactions with the downstream edge. The unsteady
Navier-stokes equations have been solved on a staggered mesh using
a symmetry-preserving central difference scheme. Synthetic jet has
been used as an active control to suppress the cavity oscillations in
wake mode for a Reynolds number of ReD = 3360. The effect of
synthetic jet has been studied by varying the jet amplitude and
frequency, which is placed at the upstream wall of the cavity. The
study indicates that there exits a frequency band, which is larger than
a critical value, is effective in attenuating cavity oscillations when
blowing ratio is more than 1.0.", keywords = "Cavity oscillation, Large Eddy Simulation, Synthetic
Jet, Flow Control, Turbulence", volume = "6", number = "7", pages = "1234-9", }
