Abstract
This chapter gives a comprehensive review on the state-of-the-art numerical simulation and modeling of synthetic jet (SJ), an oscillatory, zero-net-mass-flux jet that has great potential in flow control. The numerical techniques dealing with the SJ oscillation, laminar-turbulent transition, and turbulence in quiescent conditions are introduced first. From the CFD simulations, the flow physics associated with SJs issuing from offices of different shapes, mainly high-aspect-ratio rectangular slots and low-aspect-ratio rectangular or circular orifices, are then summarized and discussed. Low-dimensional models that are used for fast prediction of the performance of SJ actuators in quiescent conditions are also introduced. The review then focuses on the CFD simulations of SJ interaction with cross flows, including both attached and separated flows. Different numerical methods are introduced and compared. The flow physics associated with SJs interacting with laminar boundary layers, turbulent boundary layers, different types of separated flows, as well as flows around an airfoil are also summarized and discussed. In the end, research about the coupling of CFD simulation or low-dimensional modeling with optimization and control algorithms for SJ-based flow control is briefly reviewed. We hope this chapter provides a better picture of the state-of-the-art numerical simulation and modeling of SJs for the flow separation control applications and future researchers in this field can benefit from reading it.
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References
Adya, S., Han, D., & Hosder, S. (2010). Uncertainty quantification integrated to the CFD modeling of synthetic jet actuators. AIAA Paper 2010-4411.
Amitay, M., Kibens, V., Parekh, D., & Glezer, A. (1999). The dynamics of flow reattachment over a thick airfoil controlled by synthetic jet actuators. AIAA Paper 1999-1001.
Amitay, M., Smith, D. R., Kibens, V., Parekh, D. E., & Glezer, A. (2001). Aerodynamic flow control over an unconventional airfoil using synthetic jet actuators. AIAA Journal, 39, 361–370.
Aram, E., Mittal, R., Griffin, J., & Cattafesta, L. (2010). Towards effective ZNMF jet based control of a canonical separated flow. AIAA Paper 2010-4705.
Biedron, R., Vatsa, V., & Atkins, H. (2005). Simulation of unsteady flows using an unstructured Navier-Stokes solver on moving and stationary grids. AIAA Paper 2005-5093.
Capizzano, F., Catalano, P., Marongiu, C., & Vitagliano, P. L. (2005). URANS modelling of turbulent flows controlled by synthetic jets. AIAA Paper 2005-5015.
Carpy, S., & Manceau, R. (2006). Turbulence modelling of statistically periodic flows: synthetic jet into quiescent air. International Journal of Heat and Fluid Flow, 27(5), 756–767.
Cater, J. E., & Soria, J. (2002). The evolution of round zero-net-mass-flux jets. Journal of Fluid Mechanics, 472, 167–200.
Crook, A., Sadri, A. M., & Wood, N. J. (1999). The development and implementation of synthetic jets for the control of separated flow. AIAA Paper 1999-3176.
Cui, J., & Agarwal, R. K. (2005). 3-D CFD validation of an axisymmetric jet in cross-flow (NASA Langley workshop validation: Case 2). AIAA Paper 2005-1112.
Cui, J., & Agarwal, R. K. (2006). Three-dimensional computation of a synthetic jet in quiescent air. AIAA Journal, 44(12), 2857–2865.
Dandois, J., Garnier, E., & Sagaut, P. (2006). Unsteady simulation of synthetic jet in a crossflow. AIAA Journal, 44(2), 225–238.
Dandois, J., Garnier, E., & Sagaut, P. (2007). Numerical simulation of active separation control by a synthetic jet. Journal of Fluid Mechanics, 574, 25–58.
Donovan, J. F., Kral, L. D., & Cary, A. W. (1998). Active flow control applied to an airfoil. AIAA Paper 1998-0210.
Duvigneau, R., Hay, A., & Visonneau, M. (2007). Optimal location of a synthetic jet on an airfoil for stall control. Journal of Fluids Engineering, 129, 825–833.
Duvigneau, R., & Visonneau, M. (2006). Optimization of a synthetic jet actuator for aerodynamic stall control. Computers & Fluids, 35, 624–638.
Franck, J. A., & Colonius, T. (2008). Large-Eddy simulation of separation control for compressible flow over a wall-mounted hump. AIAA Paper 2008-0555.
Franck, J. A., & Colonius, T. (2010). Compressible large-eddy simulation of separation control on a wall-mounted hump. AIAA Journal, 48(6), 1098–1107.
Gallas, Q., Holman, R., Nishida, T., Carroll, B., Sheplak, M., & Cattafesta, L. (2003). Lumped element modeling of piezoelectric-driven synthetic jet actuators. AIAA Journal, 41(2), 240–247.
Gallas, Q., Holman, R., Raju, R., Mittal, R., Sheplak, M., & Cattafesta, L. (2004). Low dimensional modeling of zero-net mass-flux actuators. AIAA Paper 2004-2413.
Garcillan, L., Zhong, S., Pokusevski, Z., & Wood, N. J. (2004). A PIV study of synthetic jets with different orifice shape and orientation. AIAA Paper 2004-2213.
Garnier, E., Pamart, P. Y., Dandois, J., & Sagaut, P. (2012). Evaluation of the unsteady RANS capabilities for separated flows control. Computers & Fluids, 61, 39–45.
Gilarranz, J. L., Traub, L. W., & Rediniotis, O. K. (2005). A new class of synthetic jet actuators—part II: application to flow separation control. Journal of Fluids Engineering, 127, 377–387.
Glezer, A., & Amitay, M. (2002). Synthetic jets. Annual Review of Fluid Mechanics, 34, 503–529.
Greenblatt, D., Paschal, K. B., Yao, C. S., Harris, J., Schaeffler, N. W., & Washburn, A. E. (2006). Experimental investigation of separation control part 1: Baseline and steady suction. AIAA Journal, 44(12), 2820–2830.
Greenblatt, D., Paschal, K. B., Yao, C. S., & Harris, J. (2006). Experimental investigation of separation control part 2: Zero mass-efflux oscillatory blowing. AIAA Journal, 44(12), 2831–2845.
Hassan, A. A., & Janakiram, R. D. (1997). Effects of zero-mass synthetic jets on the aerodynamics of the NACA-0012 airfoil. AIAA Paper 97-2326.
Hassan, A. A. (2004). Oscillatory and pulsed jets for improved airfoil aerodynamics—a numerical simulation. AIAA Paper 2004-227.
Höll, T., Wassen, E., & Thiele, F. (2010). Active separation control on a high-lift configuration using segmented actuation slots. AIAA Paper 2010-4249.
Holman, R., Utturkar, Y., Mittal, R., Smith, B. L., & Cattafesta, L. (2005). Formation criterion for synthetic jets. AIAA Journal, 43, 2110–2116.
Hong, G. (2012). Numerical investigation to forcing frequency and amplitude of synthetic jet actuators. AIAA Journal, 50(4), 788–796.
Iaccarino, G., Marongiu, C., Catalano, P., & Amato, M. (2004). RANS modeling and simulations of synthetic jets. AIAA Paper 2004-2223.
Jabbal, M., & Zhong, S. (2008). The near wall effect of synthetic jets in a boundary layer. International Journal of Heat and Fluid Flow, 29, 119–130.
Joslin, R. D., Horta, L. G., & Chen, F. J. (1999). Transitioning active flow control to applications. AIAA Paper 1999-3575.
Kim, S. H., & Kim, C. (2009). Separation control on NACA23012 using synthetic jet. Aerospace Science and Technology, 13, 172–182.
Kim, J. W., Sankar, L., Min, B. Y., Yeshala, N., & Egolf, T. A. (2012). Multiscale modeling of active flow control for fuselage drag reduction. AIAA Paper 2012-0075.
Kotapati, R. B., Mittal, R., & Cattafesta, L. N. (2006). Numerical experiments in synthetic jet based separation control. AIAA Paper 2006-0320.
Kotapati, R. B., Mittal, R., & Cattafesta, L. N. (2007). Numerical study of a transitional synthetic Jet in quiescent external flow. Journal of Fluid Mechanics, 581, 287–321.
Kral, L. D., Donovan, J. F., Cain, A. B., & Cary, A. W. (1997). Numerical simulation of synthetic jet actuators. AIAA Paper 1997-1824.
Krishnan, V., Squires, K. D., & Forsythe, J. R. (2006). Prediction of separated flow characteristics over a hump. AIAA Journal, 44(2), 252–262.
Lee, C. Y., & Goldstein, D. B. (2001). DNS of microjets for turbulent boundary layer control. AIAA Paper 2001-1013.
Lee, C. Y., & Goldstein, D. B. (2002). Two-dimensional synthetic jet simulation. AIAA Journal, 40(3), 510–516.
Lee, S. K., Lopez Mejia, O. D., Moster, R. D., Muse, J. A., Kutay, A. T., & Calise, A. J. (2013). Simulation of rapidly maneuvering airfoils with synthetic jet actuators. AIAA Journal, 51(8), 1883–1897.
Leschziner, M. A., & Lardeau, S. (2011). Simulation of slot and round synthetic jets in the context of boundary-layer separation control. Philosophical Transactions of the Royal Society A, 369, 1495–1512.
Lockerby, D. A., & Carpenter, P. W. (2004). Modeling and design of microjet actuators. AIAA Journal, 42(2), 220–227.
Mallinson, S. G., Hong, G., & Reizes, J. A. (1999). Some characteristics of synthetic jets. AIAA Paper 1999-3651.
Mallinson, S. G., Kwok, C. Y., & Reizes, J. A. (2003). Numerical simulation of micro-fabricated zero mass-flux jet actuators. Sensor and Actuators A, 105, 229–236.
McCormick, D. C. (2000). Boundary layer separation control with directed synthetic jets. AIAA Paper 2000-0519.
Menon, S., & Soo, J. H. (2004). Simulation of vortex dynamics in three-dimensional synthetic and free jets using the large-eddy lattice Boltzmann method. Journal of Turbulence, 5, 032.
Mittal, R., Kotapati, R. B., & Cattafesta, L. N. (2005). Numerical study of resonant interactions and flow control in a canonical separated flow. AIAA Paper 2005-1261.
Mittal, R., & Rampuggoon, P. (2002). On the virtual aeroshaping effect of synthetic jets. Physics of Fluids, 14(4), 1533–1536.
Mittal, R., Rampuggoon, P., & Udaykumar, H. S. (2001). Interaction of a synthetic jet with a flat plate boundary layer. AIAA Paper 2001-2773.
Morgan, P. E., Rizzetta, D. P., & Visbal, M. R. (2006). High-order numerical simulation of turbulent flow over a wall-mounted hump. AIAA Journal, 44(2), 239–251.
Na, Y., & Moin, P. (1998). Direct numerical simulation of a separated turbulent boundary layer. Journal of Fluid Mechanics, 370, 175–201.
Nae, C. (2000). Numerical simulation of a synthetic jet actuator. In Proceedings of 22nd International Congress of Aeronautical Sciences, Harrogate, UK.
Ozawa, T., Lesbros, S., & Hong, G. (2010). LES of synthetic jets in boundary layer with laminar separation caused by adverse pressure gradient. Computers & Fluids, 39, 845–858.
Pamart, P. Y., Dandois, J., Garnier, E., & Sagaut, P. (2010). Large eddy simulation study of synthetic jet frequency and amplitude effects on a rounded step separated flow. AIAA Paper 2010-5086.
Park, S. H., Yu, Y. H., & Byun, D. Y. (2007). RANS simulations of a synthetic jet in quiescent air. AIAA Paper 2007-1131.
Rathnasingham, R., & Breuer, K. S. (1997a). System identification and control of a turbulent boundary layer. Physics of Fluids, 9, 1867–1869.
Rathnasingham, R., & Breuer, K. S. (1997b). Coupled fluid-structural characteristics of actuators for flow control. AIAA Journal, 35(5), 832–837.
Rathnasingham, R., & Breuer, K. S. (2003). Active control of turbulent boundary layers. Journal of Fluid Mechanics, 495, 209–233.
Ravi, B. R., Mittal, R., & Najjar, F. M. (2004). Study of three-dimensional synthetic jet flowfields using direct numerical simulation. AIAA Paper 2004-0091.
Ravi, B. R., & Mittal, R. (2006). Numerical study of large aspect-ratio synthetic jets. AIAA Paper 2006-0315.
Ravindran, S. S. (1999). Active control of flow separation over an airfoil, TM-1999-209838. Langley: NASA.
Rizzetta, D. P., Visbal, M. R., & Stanek, M. J. (1999). Numerical investigation of synthetic-jet flowfields. AIAA Journal, 37(8), 919–927.
Rumsey, C. L. (2004). Computation of a synthetic jet in a turbulent cross-flow boundary layer. NASA/TM-2004-213273.
Rumsey, C. L. (2008). Successes and challenges for flow control simulations (invited). AIAA Paper 2008-4311.
Rumsey, C. L. (2009). Successes and challenges for flow control simulations. International Journal of Flow Control, 1(1), 1–27.
Rumsey, C. L., Gatski, T. B., Sellers, W. L., Vatsa, V. N., & Viken, S. A. (2004). Summary of the 2004 CFD validation workshop on synthetic jets and turbulent separation control. AIAA Paper 2004-2217.
Rumsey, C. L., Gatski, T. B., Sellers, W. L., Vatsa, V. N., & Viken, S. A. (2006). Summary of the 2004 computational fluid dynamics validation workshop on synthetic jets. AIAA Journal, 44(2), 194–207.
Rumsey, C. L., Schaeffler, N. W., Milanovic, I. M., & Zaman, K. B. M. Q. (2005). Time-accurate computations of isolated circular synthetic jets in crossflow. AIAA Paper 2005-5016.
Rumsey, C. L., Schaeffler, N. W., Milanovic, I. M., & Zaman, K. B. M. Q. (2007). Time-accurate computations of isolated circular synthetic jets in crossflow. Computers & Fluids, 36(6), 1092–1105.
Sahni, O., Wood, J., Jansen, K., & Amitay, A. (2011). Three-dimensional interactions between a finite-span synthetic jet and a cross-flow. Journal of Fluid Mechanics, 671, 254–287.
Šarić, S., Jakirlić, S., & Tropea, C. (2005). Computational analysis of locally forced flow over a wall-mounted hump at high-Re number. In Proceedings of Fourth International Symposium on Turbulence and Shear Flow Phenomena, pp. 1189–1194.
Schaeffler, N. W., & Jenkins, L. N. (2004). The isolated synthetic jet in crossflow: a benchmark for flow control simulation. AIAA Paper 2004-2219.
Schaeffler, N. W., & Jenkins, L. N. (2006). Isolated synthetic jet in crossflow: experimental protocols for a validation dataset. AIAA Journal, 44(12), 2846–2856.
Shuster, J. M., & Smith, D. R. (2007). Experimental study of the formation and scaling of a round synthetic jet. Physics of Fluids, 19, 045109.
Seifert, A., & Pack, L. G. (2002). Active flow separation control on wall-mounted hump at high Reynolds numbers. AIAA Journal, 40(7), 1363–1372.
Sharma, A. S., Rawat, V. S., Kulkarni, V., & Saha, U. K. (2012). Numerical investigations on flow control over blended-wing-body transonic aircraft using synthetic-jet actuators. Journal of Aircraft, 49(2), 532–545.
Smith, B. L., & Glezer, A. (1997). Vectoring and small-scale motions effected in free shear flows using synthetic jet actuators. AIAA Paper 1997-0213.
Smith, B. L., & Glezer, A. (1998). The formation and evolution of synthetic jets. Physics of Fluids, 10(9), 2281–2297.
Smith, B. L., & Glezer, A. (2002). Jet vectoring using synthetic jets. Journal of Fluid Mechanics, 458, 1–34.
Smith, D., Amitay, M., Kibens, V., Parekh, D., & Glezer, A. (1998). Modification of lifting body aerodynamics using synthetic jet actuators. AIAA Paper 98-0209.
Tang, H., & Zhong, S. (2005). 2D numerical study of circular synthetic jets in quiescent flows. Aeronautical Journal, 109(1092), 89–97.
Tang, H., & Zhong, S. (2006). Incompressible flow model of synthetic jet actuators. AIAA Journal, 44(4), 908–912.
Tang, H., & Zhong, S. (2007). A static compressible flow model of synthetic jet actuators. Aeronautical Journal, 111(1121), 421–431.
Tang, H., & Zhong, S. (2008). Characteristics of small-scale synthetic jets—numerical investigation. In IUTAM Symposium on Flow Control and MEMS, pp. 135–140.
Tang, H., & Zhong, S. (2009). Lumped element modelling of synthetic jet actuators. Aerospace Science and Technology, 13(6), 331-339.
Utturkar, Y., Mittal, R., Rampunggoon, P., & Cattafesta, L. (2002). Sensitivity of synthetic jets to the design of the jet cavity. AIAA Paper 2002-0124.
Vatsa, V. N., & Carpenter, M. (2005). Higher-order temporal schemes with error controllers for unsteady Navier-Stokes equations. AIAA Paper 2005-5245.
Vatsa, V. N., & Turkel, E. (2006). Simulation of synthetic jets using unsteady Reynolds-Averaged Navier-Stokes equations. AIAA Journal, 44(2), 217–224.
Wang, H., & Menon, S. (2001). Fuel-air mixing enhancement by synthetic microjets. AIAA Journal, 39(12), 2308–2319.
Wen, X., & Tang, H. (2014). On hairpin vortices induced by circular synthetic jets in laminar and turbulent boundary layers. Computers & Fluids, 95, 1–18.
Wu, D. K. L., & Leschziner, M. A. (2008). Large-eddy simulations of synthetic jets in stagnant surroundings and turbulent cross-flow. In IUTAM Symposium on Flow Control and MEMS, pp. 127–134.
Wu, D. K. L., & Leschziner, M. A. (2009). Large-eddy simulations of circular synthetic jets in quiescent surroundings and in turbulent cross-flow. International Journal of Heat and Fluid Flow, 30, 421–434.
Wu, J. M., Lu, X. Y., Denney, A. G., Fan, M., & Wu, J. Z. (1997a). Post-stall lift enhancement on an airfoil by local unsteady control, part I lift, drag and pressure characteristics. AIAA Paper 1997-2063.
Wu, J. M., Lu, X. Y., & Wu, J. Z. (1997b). Post-stall lift enhancement on an airfoil by local unsteady control, part II mode competition and vortex dynamics. AIAA Paper 1997-2064.
Wu, J. Z., Lu, X. Y., Denny, A. G., Fan, M., & Wu, J. M. (1998). Post-stall flow control on an airfoil by local unsteady forcing. Journal of Fluid Mechanics, 371, 21–58.
Xia, H., & Qin, N. (2005). Detached-eddy simulation for synthetic jets with moving boundaries. Modern Physics Letters B, 19(28–29), 1429–1434.
Xia, H., & Qin, N. (2006). Comparison of unsteady laminar and DES solutions of synthetic jet flow. AIAA Paper 2006-3161.
Xia, H., & Qin, N. (2008). DES applied to an isolated synthetic jet flow. In Advances in Hybrid RANS-LES Modelling, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol. 97, pp. 252–260.
Xia, Q., & Zhong, S. (2014). Enhancement of laminar flow mixing using a pair of staggered lateral synthetic jets. Sensors and Actuators, A: Physical, 207, 75–83.
Yamaleev, N. K., & Carpenter, M. H. (2005). A quasi-1-D model for arbitrary 3-D synthetic jet actuators. AIAA Paper 2005-0643.
Yamaleev, N. K., & Carpenter, M. H. (2006). Quasi-one-dimensional model for realistic three-dimensional synthetic jet actuators. AIAA Journal, 44(2), 208–216.
Yao, C. S., Chen, F. J., & Neuhart, D. (2006). Synthetic jet flowfield database for computational fluid dynamics validation. AIAA Journal, 44(12), 3153–3157.
Yao, C. S., Chen, F. J., Neuhart, D., & Harris, J. (2004). Synthetic jet flow database for CFD validation. AIAA Paper 2004-2218.
You, D., & Moin, P. (2008). Active control of flow separation over an airfoil using synthetic jets. Journal of Fluids and Structures, 28, 1349–1357.
You, D., Wang, M., & Moin, P. (2006). Large-eddy simulation of flow over a wall-mounted hump with separation control. AIAA Journal, 44(11), 2571–2577.
Zhang, P. F., & Wang, J. J. (2007). Novel signal wave pattern for efficient synthetic jet generation. AIAA Journal, 45(5), 1058–1065.
Zhang, S., & Zhong, S. (2011). Turbulent flow separation control over a two-dimensional ramp using synthetic jets. AIAA Journal, 49(12), 2637–2649.
Zhong, S., Millet, F., & Wood, N. J. (2005). The behaviour of circular synthetic jets in a laminar boundary layer. Aeronautical Journal, 109(1100), 461–470.
Zhong, S., Jabbal, M., Tang, H., Garcillan, L., Guo, F., Wood, N., & Warsop, C. (2007) Towards the design of synthetic jet actuators for full-scale flight conditions-part 1: the fluid mechanics of synthetic jet actuators. Flow, Turbulence and Combustion, 78(3-4), 283-307.
Zhong, S., & Zhang, S. (2013). Further examination of the mechanisms of round synthetic jets in delaying turbulent flow separation. Flow, Turbulence and Combustion, 91(1), 177–208.
Zhou, J., & Zhong, S. (2009). Numerical simulation of the interaction of a circular synthetic jet with a boundary layer. Computers & Fluids, 38, 393–405.
Zhou, J., & Zhong, S. (2010). Coherent structures produced by the interaction between synthetic jets and a laminar boundary layer and their surface shear stress patterns. Computers & Fluids, 39, 1296–1313.
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Tang, H., Zhong, S. (2015). Simulation and Modeling of Synthetic Jets. In: New, D., Yu, S. (eds) Vortex Rings and Jets. Fluid Mechanics and Its Applications, vol 111. Springer, Singapore. https://doi.org/10.1007/978-981-287-396-5_4
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