Hostname: page-component-8448b6f56d-jr42d Total loading time: 0 Render date: 2024-04-23T14:07:30.891Z Has data issue: false hasContentIssue false

Three-dimensional interactions between a finite-span synthetic jet and a crossflow

Published online by Cambridge University Press:  09 February 2011

ONKAR SAHNI
Affiliation:
Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, NY 12180, USA
JOSHUA WOOD
Affiliation:
Mechanical, Aerospace and Nuclear Engineering Department, Rensselaer Polytechnic Institute, Troy, NY 12180, USA
KENNETH E. JANSEN
Affiliation:
Aerospace Engineering Sciences, University of Colorado, Boulder, CO 80309, USA
MICHAEL AMITAY*
Affiliation:
Mechanical, Aerospace and Nuclear Engineering Department, Rensselaer Polytechnic Institute, Troy, NY 12180, USA
*
Email address for correspondence: amitam@rpi.edu

Abstract

A complementary experimental and numerical investigation was performed to study the three-dimensional flow structures and interactions of a finite-span synthetic jet in a crossflow at a chord-based Reynolds number of 100,000 and a 0° angle of attack. Six blowing ratios in the range of 0.2–1.2 were considered. Experiments were conducted on a finite wing with a cross-sectional profile of NACA 4421, where particle-image velocimetry data were collected at the centre jet. To complement the experiments, three-dimensional numerical simulations were performed, where the numerical set-up matched not only the physical parameters (e.g. free stream) but also the physical dimensions (e.g. orientation and location of the jet. For the low blowing ratio cases, spatial non-uniformities developed, due to the finite span of the slit, which led to the formation of small and organized secondary structures or a streak-like pattern in the mean flow. On the other hand, for the high blowing ratio range, turbulent vortical structures were dominant, leading to larger spanwise structures, with a larger spanwise wavelength. Moreover, the phase-locked flow fields exhibited a train of counter-rotating coherent vortices that lifted off the surface as they advected downstream. In the mid-blowing ratio range, combined features of the low range (near the slit) and high range (in downstream locations) were found, where a pair of counter-rotating vortices issued in the same jet cycle collided with each other. In all cases, the spanwise extent of the secondary coherent structures reduced with downstream distance with a larger decrease at higher blowing ratios. Similar observations were made in earlier studies on finite-span synthetic jets in quiescent conditions.

Type
Papers
Copyright
Copyright © Cambridge University Press 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Present address: Center for Predictive Engineering and Computational Sciences, Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA.

References

REFERENCES

Abbott, I. H. & von Doenhoff, A. E. 1959 Theory of Wing Sections: Including a Summary of Airfoil Data. Dover.Google Scholar
Amitay, M. & Cannelle, F. 2006 Evolution of finite-span synthetic jets. Phys. Fluids 18, 054101.CrossRefGoogle Scholar
Amitay, M. & Glezer, A. 2002 a Role of actuation frequency in controlled flow reattachment over a stalled airfoil. AIAA J. 40, 209216.Google Scholar
Amitay, M. & Glezer, A. 2002 b Controlled transients of flow reattachment over stalled airfoils. Intl J. Heat Fluid Flow 23, 690699.Google Scholar
Amitay, M. & Glezer, A. 2006 Flow transients induced on a 2D airfoil by pulse-modulated actuation. Exp. Fluids 40, 329331.Google Scholar
Amitay, M., Honohan, A., Trautman, M. & Glezer, A. 1997 Modification of the aerodynamic characteristics of bluff bodies using fluidic actuators. AIAA Paper 97-2004.Google Scholar
Amitay, M., Horvath, M., Michaux, M. & Glezer, A. 2001 a Virtual aerodynamic shape modification at low angles of attack using synthetic jet actuators. AIAA Paper 2001-2975.Google Scholar
Amitay, M., Kibens, V., Parekh, D. E. & Glezer, A. 1999 Flow reattachment dynamics over a thick airfoil controlled by synthetic jet actuators. AIAA Paper 99-1001.Google Scholar
Amitay, M., Pitt, D. & Glezer, A. 2002 c Separation control in duct flows. J. Aircraft 39, 616620.Google Scholar
Amitay, M., Smith, D. R., Kibens, V., Parekh, D. E. & Glezer, A. 2001 b Modification of the aerodynamics characteristics of an unconventional airfoil using synthetic jet actuators. AIAA J. 39, 361370.Google Scholar
Bazilevs, Y., Calo, V. M., Cottrell, J. A., Hughes, T. J. R., Reali, A. & Scovazzi, G. 2007 Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Comput. Meth. Appl. Mech. Engng 197, 173201.Google Scholar
Cannelle, F. & Amitay, M. 2007 Transitory behavior of a finite-span synthetic jet. Phys. Fluids 19, 094108.Google Scholar
Cater, J. E. & Soria, J. 2002 The evolution of round zero-net-mass-flux jets. J. Fluid Mech. 472, 167200.Google Scholar
Chatlynne, E., Rumigny, N., Amitay, M. & Glezer, A. 2001 Virtual aero-shaping of a Clark-Y airfoil using synthetic jet actuators. AIAA Paper 2001-0732.Google Scholar
Chen, F.-J., Yao, C., Beeler, G. B., Bryant, R. G. & Fox, R. L. 2000 Development of synthetic jet actuators for active flow control at NASA Langley. AIAA Paper 2000-2405.Google Scholar
Ciuryla, M., Liu, Y., Farnsworth, J., Kwan, C. & Amitay, M. 2007 Flight control using synthetic jets on a Cessna 182 model. J. Aircraft 44, 642653.Google Scholar
Crook, A., Sadri, A. M. & Wood, N. J. 1999 The development and implementation of synthetic jets for the control of separated flow. AIAA Paper 99-3176.Google Scholar
Crook, A. & Wood, N. J. 2001 Measurements and visualizations of synthetic jets. AIAA Paper 2001-0145.Google Scholar
Cui, J. & Agarwal, R. K. 2005 3D CFD validation of an axisymmetric jet in cross-flow (NASA Langley workshop validation: case 2). AIAA Paper 2005-1112.Google Scholar
Cui, J. & Agarwal, R. K. 2006 Three-dimensional computation of a synthetic jet in quiescent air. AIAA J. 44, 28572865.Google Scholar
Dandois, J., Garnier, E. & Sagaut, P. 2006 Unsteady simulation of a synthetic jet in a crossflow. AIAA J. 44, 225238.Google Scholar
Farnsworth, J. A. N., Vaccaro, J. C. & Amitay, M. 2008 Active flow control at low angles of attack: Stingray unmanned aerial vehicle. AIAA J. 46, 25302544.Google Scholar
Gallas, Q., Holman, R., Nishida, T., Carroll, B., Sheplak, M. & Cattafesta, L. 2003 Lumped element modeling of piezoelectric-driven synthetic jet actuators. AIAA J. 41, 240247.Google Scholar
Gilarranz, J. L., Traub, L. W. & Rediniotis, O. K. 2005 A new class of synthetic jet actuators. Part II. Application to flow separation control. ASME J. Fluids Engng 127, 377387.Google Scholar
Glezer, A. & Amitay, M. 2002 Synthetic jets. Annu. Rev. Fluid Mech. 34, 503529.Google Scholar
Glezer, A., Amitay, M. & Honohan, A. 2005 Aspects of low- and high-frequency actuation for aerodynamic flow control. AIAA J. 43, 15011511.Google Scholar
Gordon, M. & Soria, J. 2002 PIV measurements of a zero-net-mass-flux jet in cross flow. Exp. Fluids 33, 863872.Google Scholar
Greenblatt, D. & Washburn, A. 2008 Influence of finite span and sweep on active flow control efficacy. AIAA J. 46, 16751694.Google Scholar
He, Y., Cary, A. W. & Peters, D. A. 2001 Parametric and dynamic modeling for synthetic jet control of a post-stall airfoil. AIAA Paper 2001-0733.Google Scholar
Ho, C.-M. & Huerre, P. 1984 Perturbed free shear layers. Annu. Rev. Fluid Mech. 16, 365422.Google Scholar
Iai, T., Motosuke, M. & Honami, S. 2009 Vortex behavior of vertical and inclined synthetic jet in cross flow at low Reynolds number. AIAA Paper 2009-4178.Google Scholar
Jabbal, M. & Zhong, S. 2008 The near wall effect of synthetic jets in a boundary layer. Intl J. Heat Fluid Flow 29, 119130.Google Scholar
Jansen, K. E., Whiting, C. H. & Hulbert, G. M. 2000 A generalized-alpha method for integrating the filtered Navier–Stokes equations with a stabilized finite element method. Comput. Meth. Appl. Mech. Engng 190, 305319.Google Scholar
Kotapati, R. B., Mittal, R. & Cattafesta, L. N III., 2007 Numerical study of a transitional synthetic jet in quiescent external flow. J. Fluid Mech. 581, 287321.Google Scholar
Kral, L. D., Donovan, J. F., Cain, A. B. & Cary, A. W. 1997 Numerical simulation of synthetic jet actuators. AIAA Paper 97-1824.Google Scholar
Lee, C. Y. & Goldstein, D. B. 2002 Two-dimensional synthetic jet simulation. AIAA J. 40, 510516.Google Scholar
Maldonado, V., Farnsworth, J., Gressick, W. & Amitay, M. 2010 Active control of flow separation and structural vibrations of wind turbine blades. Wind Energy, 13, 221237.Google Scholar
Mallinson, S. G., Hong, G. & Reizes, J. A. 1999 Some characteristics of synthetic jets. AIAA Paper 99-3651.Google Scholar
Mallinson, S. G., Reizes, J. A., Hong, G. & Westbury, P. S. 2004 Analysis of hot-wire anemometry data obtained in a synthetic jet flow. Exp. Therm. Fluid Sci. 28, 265272.Google Scholar
Milanovic, I. M. & Zaman, K. B. M. Q. 2003 Synthetic jets in cross-flow. Part II. Jets from orifices of different geometry. AIAA Paper 2003-3715.Google Scholar
Milanovic, I. M., Zaman, K. B. M. Q. & Rumsey, C. L. 2005 An isolated circular synthetic jet in cross-flow at low momentum-flux ratio. AIAA Paper 2005-1110.Google Scholar
Mittal, R. & Rampunggoon, P. 2002 On the virtual aeroshaping effect of synthetic jets. Phys. Fluids 14, 1533.Google Scholar
Mittal, R., Rampunggoon, P. & Udaykumar, H. S. 2001 Interaction of a synthetic jet with a flat-plate boundary layer. AIAA Paper 2001-2773.Google Scholar
Muppidi, S. & Mahesh, K. 2005 Study of trajectories of jets in crossflow using direct numerical simulations. J. Fluid Mech. 530, 81100.Google Scholar
Oster, D. & Wygnanski, I. 1982 The forced mixing layer between parallel streams. J. Fluid Mech. 123, 91130.Google Scholar
Parekh, D. E., Williams, S. P., Amitay, M., Glezer, A., Washburn, A. E., Gregory, I. M. & Scott, R. C. 2003 Active flow control on the Stingray UAV: aerodynamic forces and moments. AIAA Paper 2003-4002.Google Scholar
Pope, S. B. 2000 Turbulent Flows. Cambridge University Press.Google Scholar
Ravi, B. R., Mittal, R. & Najjar, F. M. 2004 Study of three-dimensional synthetic jet flowfields using direct numerical simulation. AIAA Paper 2004-0091.Google Scholar
Rizzetta, D. P., Stanek, M. J. & Visbal, M. R. 1999 Numerical simulation of synthetic-jet flowfields. AIAA J. 37, 919927.Google Scholar
Roberts, F. A. 1985 Effects of periodic disturbances on structure of mixing in turbulent shear layers and wakes. PhD thesis, California Institute of Technology.Google Scholar
Rumsey, C. L. 2004 Computation of a synthetic jet in a turbulent cross-flow boundary layer. NASA/TM-2004-213273.Google Scholar
Rumsey, C. L. 2009 Successes and challenges for flow control simulations. Intl J. Flow Control 1, 127.Google Scholar
Saad, Y. & Schultz, M. H. 1986 GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856869.Google Scholar
Sahni, O., Jansen, K. E., Shephard, M. S., Taylor, C. A. & Beall, M. W. 2008 Adaptive boundary layer meshing for viscous flow simulations. Engng Comput. 24, 267285.Google Scholar
Sahni, O., Mueller, J., Jansen, K. E., Shephard, M. S. & Taylor, C. A. 2006 Efficient anisotropic adaptive discretization of the cardiovascular system. Comput. Meth. Appl. Mech. Engng 195, 56345655.Google Scholar
Sahni, O., Zhou, M., Shephard, M. S. & Jansen, K. E. 2009 Scalable implicit finite element solver for massively parallel processing with demonstration to 160k cores. In Proc. 2009 Intl Conf. High Performance Computing, Networking, Storage and Analysis (Supercomputing 2009), Portland, Oregon.Google Scholar
Sauerwein, S. C. & Vakili, A. D. 1999 An experimental study of zero-mass jets in crossflow. AIAA Paper 99-0668.Google Scholar
Schaeffler, N. W. & Jenkin, L. N. 2006 Isolated synthetic jet in crossflow: experimental protocols for a validation dataset. AIAA J. 44, 28462856.Google Scholar
Seifert, A., Bachar, T., Koss, D., Shepshelovich, M. & Wygnanski, I. 1993 Oscillatory blowing: a tool to delay boundary-layer separation. AIAA J. 31, 20522060.Google Scholar
Smith, B. L. & Glezer, A. 1998 The formation and evolution of synthetic jets. Phys. Fluids 10, 22812297.Google Scholar
Smith, B. L. & Glezer, A. 2002 Jet vectoring using synthetic jets. J. Fluid Mech. 458, 134.Google Scholar
Smith, D. R. 2002 Interaction of a synthetic jet with a crossflow boundary layer. AIAA J. 40, 22772288.Google Scholar
Timor, I., Ben-Hamou, E., Guy, Y. & Seifert, A. 2007 Maneuvering aspects and 3D effects of active airfoil flow control. Flow Turbulence Combust. 78, 429443.Google Scholar
Timoshenko, S. & Woinowsky-Krieger, S. 1959 Theory of Plates and Shells. McGraw-Hill.Google Scholar
Trofimova, A. V., Tejada-Martinez, A. E., Jansen, K. E. & Lahey, R. T. 2009 Direct numerical simulation of turbulent channel flows using a stabilized finite element method. Comput. Fluids 38, 924938.Google Scholar
Whiting, C. H. & Jansen, K. E. 2001 A stabilized finite element formulation for the incompressible Navier–Stokes equations using a hierarchical basis. Intl J. Numer. Meth. Fluids 35, 93116.Google Scholar
Wu, D. K. L. & Leschziner, M. A. 2009 Large-eddy simulations of circular synthetic jets in quiescent surroundings and in turbulent cross-flow. Intl J. Heat Fluid Flow 30, 421434.Google Scholar
Wygnanski, I. 2000 Some new observations affecting the control of separation by periodic excitation. AIAA Paper 2000-2314.Google Scholar
Xia, H. & Qin, N. 2005 Detached-eddy simulation for synthetic jets with moving boundaries. Mod. Phys. Lett. B 19, 14291434.Google Scholar
Yao, C., Chen, F. J., Neuhart, D. & Harris, J. 2004 Synthetic jet flow field database for CFD validation. AIAA Paper 2004-2218.Google Scholar
You, D. & Moin, P. 2008 Active control of flow separation over an airfoil using synthetic jets. J. Fluids Struct. 24, 13491357.Google Scholar
Zaman, K. B. M. Q. & Milanovic, I. M. 2003 Synthetic jets in cross-flow. Part 1. Round jet. AIAA Paper 2003-3714.Google Scholar
Zhou, J. & Zhong, S. 2009 Numerical simulation of the interaction of a circular synthetic jet with a boundary layer. Comput. Fluids 38, 393405.Google Scholar