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  • Journal of Fluid Mechanics, Volume 581
  • June 2007, pp. 287-321

Numerical study of a transitional synthetic jet in quiescent external flow

  • DOI:
  • Published online: 25 June 2007

The flow associated with a synthetic jet transitioning to turbulence in an otherwise quiescent external flow is examined using time-accurate three-dimensional numerical simulations. The incompressible Navier–Stokes solver uses a second-order accurate scheme for spatial discretization and a second-order semi-implicit fractional step method for time integration. The simulations are designed to model the experiments of C. S. Yao et al. (Proc. NASA LaRC Workshop, 2004) which have examined, in detail, the external evolution of a transitional synthetic jet in quiescent flow. Although the jet Reynolds and Stokes numbers in the simulations match with the experiment, a number of simplifications have been made in the synthetic jet actuator model adopted in the current simulations. These include a simpler representation of the cavity and slot geometry and diaphragm placement. Despite this, a reasonably good match with the experiments is obtained in the core of the jet and this indicates that for these jets, matching of these key non-dimensional parameters is sufficient to capture the critical features of the external jet flow. The computed results are analysed further to gain insight into the dynamics of the external as well as internal flow. The results indicate that near the jet exit plane, the flow field is dominated by the formation of counter-rotating spanwise vortex pairs that break down owing to the rapid growth of spanwise instabilities and transition to turbulence a short distance from the slot. Detailed analyses of the unsteady characteristics of the flow inside the jet cavity and slot provide insights that to date have not been available from experiments.

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M. Amitay , A. Honohan , M. Trautman & A. Glezer 1997 Modification of the aerodynamic characteristics of bluff bodies using fluidic actuators. AIAA Paper 97-2004.

J. M. Andres & U. Ingard 1953 Acoustic streaming at high Reynolds numbers. J. Acoust. Soc. Am. 25, 928932.

H. Dong , R. Mittal & F. M. Najjar 2006 Wake topology and hydrodynamic performance of low-aspect-ratio flapping foils. J. Fluid Mech. 566, 309343.

Q. Gallas 2005 On the modeling and design of zero-net mass flux actuators. PhD thesis, University of Florida.

Q. Gallas , R. Holman , T. Nishida , B. Carroll , M. Sheplak & L. Cattafesta 2003 aLumped element modeling of piezoelectric-driven synthetic jet actuators. AIAA J. 41, 240247.

Q. Gallas , G. Wang , M. Papila , M. Sheplak & L. Cattafesta 2003 b Optimization of synthetic jet actuators. AIAA Paper 2003-0635.

Q. Gallas , R. Holman , R. Raju , R. Mittal , M. Sheplak & L. Cattafesta 2004 a Low dimensional modeling of zero-net mass-flux actuators. AIAA Paper 2004-2413.

A. Glezer & M. Amitay 2002 Synthetic jets. Annu. Rev. Fluid Mech. 34, 503532.

J. O. Hinze 1975 Turbulence, 2nd edn. McGraw-Hill.

R. Holman 2006 An experimental investigation of flows from zero-net mass-flux actuators. PhD thesis, University of Florida.

R. Holman , Y. Utturkar , R. Mittal , B. L. Smith & L. Cattafesta 2005 Formation criterion for synthetic jets. AIAA J. 43, 21102116.

U. Ingard & S. Labate 1950 Acoustic circulation effects and the nonlinear impedance of orifices. J. Acoust. Soc. Am. 22, 211218.

R. D. James , J. W. Jacobs & A. Glezer 1996 A round turbulent jet produced by an oscillating diaphragm. Phys. Fluids. 8, 24842495.

H.-J. Kaltenbach , M. Fatica , R. Mittal , T. S. Lund & P. Moin 1999 Study of flow in a planar asymmetric diffuser using large-eddy simulation. J. Fluid Mech. 390, 151186.

I. V. Lebedeva 1980 Experimental study of acoustic streaming in the vicinity of orifices. Sov. Phys. Acoust. 26, 331333.

C. Y. Lee & D. B. Goldstein 2002 Two-dimensional synthetic jet simulation. AIAA J. 40, 510516.

B. P. Leonard 1979 A stable and accurate convection modeling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Engng. 19, 5998.

C. Loudon & A. Tordesillas 1998 The use of the dimensionless Womersley number to characterize the unsteady nature of internal flow. J. Theor. Biol. 191, 6378.

S. G. Mallinson , G. Hong & A. J. Reizes 1999 Some characteristics of synthetic jets. AIAA Paper 99-3651.

E. P. Mednikov & B. G. Novitskii 1975 Experimental study of intense acoustic streaming. Sov. Phys. Acoust. 21, 152154.

A. Meissner 1926 Uber piezo-elektrische kristalle bei hoch-frequenz. Z. Tekh. Fiz 7, 585.

R. Mittal 2000 Response of the sphere wake to freestream fluctuations. Theoret. Comput. Fluid Dyn. 13, 397419.

R. Mittal & S. Balachandar 1997 On the inclusion of three-dimensional effects in simulations of two-dimensional bluff-body wake flows. In Proc. 1997 ASME Fluids Engng. Div. Summer Meeting, Vancouver, Canada.

R. Mittal , R. Rampunggoon & H. S. Udaykumar 2001 Interaction of a synthetic jet with a flat plate boundary layer. AIAA Paper 2001-2773.

R. Mittal , S. P. Simmons & F. Najjar 2003 Numerical study of pulsatile flow in a constricted channel. J. Fluid Mech. 485, 337378.

F. M. Najjar & R. Mittal 2003 Simulations of complex flows and fluid-structue interaction problems on fixed Cartesian grids. In Proc. FEDSM'03, 4th ASME–JSME Joint Fluids Engng Conf., Honolulu, Hawaii, pp. 184–196.

R. L. Panton 1996 Incompressible Flow, 2nd edn. John Wiley.

R. Raju , R. Mittal , Q Gallas & L. Cattafesta 2005 Scaling of vorticity flux and entrance length effects in zero-net mass-flux devices. AIAA Paper 2005-4751.

R. Rathnasingham & K. S. Breuer 1997 System identification and control of a turbulent boundary layer. Phys. Fluids A. 9, 18671869.

R. Rathnasingham & K. S. Breuer 2003 Active control of turbulent boundary layers. J. Fluid Mech. 495, 209233.

B. R. Ravi , R. Mittal & F. M. Najjar 2004 Study of three-dimensional synthetic jet flowfields using direct numerical simulations. AIAA Paper 2004-0091.

W. C. Reynolds & A. K. M. F. Hussain 1972 The mechanics of an organized wave in turbulent shear flow. Part 3. theoretical models and comparisons with experiments. J. Fluid Mech. 54, 263288.

D. P. Rizzetta , M. R. Visbal & M. J. Stanek 1999 Numerical investigation of synthetic-jet flowfields. AIAA J. 37, 919927.

C. L. Rumsey , T. B. Gatski , W. L. Sellers , V. N. Vatsa & S. A. Viken 2004 Summary of the 2004 CFD validation workshop on synthetic jets and turbulent separation control. AIAA Paper 2004-2217.

S. H. Sheen , W. P. Lawrence & A. C. Raptis 1989 Cavitation-controlled ultrasonic agitator. In Proc. IEEE Ultrasonics Symp. vol. 1, pp. 653–656.

B. Smith & G. Swift 2001 Synthetic jets at large Reynolds number and comparison to continous jets. AIAA Paper 2001-3030.

B. L. Smith & A. Glezer 1998 The formation and evolution of synthetic jets. Phys. Fluids. 10, 22812297.

B. L. Smith & A. Glezer 2002 Jet vectoring using synthetic jets. J. Fluid Mech. 458, 134.

D. Smith & A. Glezer 1997 Vectoring and small-scale motions effected in free shear flows using synthetic jet actuators. AIAA Paper 97-0213.

D. Smith , M. Amitay , V. Kibens , D. Parekh & A. Glezer 1998 Modification of lifting body aerodynamics using synthetic jet actuators. AIAA Paper 98-0209.

J. Soria & B. J. Cantwell 1993 Identification and classification of topological structures in free shear flows. In Eddy Structure Identification in Free Turbulent Shear Flows (ed. J. P. Bonnet & M. N. Glauser ), pp. 379390. Kluwer.

H. S. Udaykumar , R. Mittal , P. Rampunggoon & A. Khanna 2001 A sharp interface Cartesian grid method for simulating flows with complex moving boundaries. J. Comput. Phys. 174, 345380.

Y. Utturkar & R. Mittal 2002 Senitivity of synthetic jets to the design of the jet cavity. AIAA Paper 2002-0124.

Y. Utturkar , R. Holman , R. Mittal , B. Carroll , M. Sheplak & L. Cattafesta 2003 A jet formation criterion for synthetic jet actuators. AIAA Paper 2003-0636.

F. M. White 1991 Viscous Flow, 2nd edn. McGraw-Hill.

D. C. Winter & R. M. Nerem 1984 Turbulence in pulsatile flows. Ann. Biomed. Engng. 12, 357369.

I. Wygnanski 1997 Boundary layer and flow control by periodic addition of momentum. AIAA Paper 97-2117.

C. S. Yao , F. J. Chen , D. Neuhart & J. Harris 2004 a Synthetic jet flow database for CFD validation. AIAA Paper 2004-2218.

C. S. Yao , F. J. Chen , D. Neuhart & J. Harris 2004 b Synthetic jets in quiescent air. In Proc. NASA LaRC Workshop on CFD Validation of Synthetic Jets and Turbulent Separation Control, Williamsburg, Virginia, March 29–31.

T. Ye , R. Mittal , H. S. Udaykumar & W. Shyy 1999 An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. J. Comput. Phys. 156, 209240.

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