Accurate measurement of streamwise vortices using dual-plane PIV

Low Reynolds number aerodynamic experiments with flapping animals (such as bats and small birds) are of particular interest due to their application to micro air vehicles which operate in a similar parameter space. Previous PIV wake measurements described the structures left by bats and birds and provided insight into the time history of their aerodynamic force generation; however, these studies have faced difficulty drawing quantitative conclusions based on said measurements. The highly three-dimensional and unsteady nature of the flows associated with flapping flight are major challenges for accurate measurements. The challenge of animal flight measurements is finding small flow features in a large field of view at high speed with limited laser energy and camera resolution. Cross-stream measurement is further complicated by the predominately out-of-plane flow that requires thick laser sheets and short inter-frame times, which increase noise and measurement uncertainty. Choosing appropriate experimental parameters requires compromise between the spatial and temporal resolution and the dynamic range of the measurement. To explore these challenges, we do a case study on the wake of a fixed wing. The fixed model simplifies the experiment and allows direct measurements of the aerodynamic forces via load cell. We present a detailed analysis of the wake measurements, discuss the criteria for making accurate measurements, and present a solution for making quantitative aerodynamic load measurements behind free-flyers.

[1]  D. W. Moore,et al.  Axial flow in laminar trailing vortices , 1973, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[2]  Sharon M Swartz,et al.  Changes in kinematics and aerodynamics over a range of speeds in Tadarida brasiliensis, the Brazilian free-tailed bat , 2012, Journal of The Royal Society Interface.

[3]  A. Hedenström,et al.  Bat Flight Generates Complex Aerodynamic Tracks , 2007, Science.

[4]  A. Betz,et al.  Behavior of Vortex Systems , 1933 .

[5]  Coleman duP. Donaldson,et al.  Calculation of Aircraft Wake Velocity Profiles and Comparisonwith Experimental Measurements , 1974 .

[6]  Jürgen Kompenhans,et al.  Recent applications of particle image velocimetry in aerodynamic research , 1996 .

[7]  Nicholas J. Lawson,et al.  Three-dimensional particle image velocimetry: error analysis of stereoscopic techniques , 1997 .

[8]  E. Laitone Wind tunnel tests of wings at Reynolds numbers below 70 000 , 1997 .

[9]  K. Breuer,et al.  Time-resolved wake structure and kinematics of bat flight , 2009 .

[10]  Anders Hedenström,et al.  High-speed stereo DPIV measurement of wakes of two bat species flying freely in a wind tunnel , 2009 .

[11]  K. Breuer,et al.  Direct measurements of the kinematics and dynamics of bat flight , 2006, Bioinspiration & biomimetics.

[12]  R. Adrian,et al.  Electrooptical image shifting for particle image velocimetry. , 1988, Applied optics.

[13]  Melissa S. Bowlin,et al.  Vortex wake, downwash distribution, aerodynamic performance and wingbeat kinematics in slow-flying pied flycatchers , 2012, Journal of The Royal Society Interface.

[14]  A. Altman,et al.  Wake Vorticity Measurements for Low Aspect Ratio Wings at Low Reynolds Number , 2007 .

[15]  K. Breuer,et al.  Wake structure and wing kinematics: the flight of the lesser dog-faced fruit bat, Cynopterus brachyotis , 2010, Journal of Experimental Biology.

[16]  U. Norberg Vertebrate Flight: Mechanics, Physiology, Morphology, Ecology and Evolution , 1990 .

[17]  Tim Lee,et al.  Near-field tip vortex behind a swept wing model , 2006 .

[18]  T. Mueller,et al.  AERODYNAMICS OF SMALL VEHICLES , 2003 .

[19]  W. Shyy,et al.  Aerodynamics of Low Reynolds Number Flyers , 2007 .

[20]  J. Westerweel,et al.  Measurement of laminar, transitional and turbulent pipe flow using Stereoscopic-PIV , 2007 .

[21]  J. Westerweel Fundamentals of digital particle image velocimetry , 1997 .

[22]  Sanjay P Sane,et al.  The aerodynamics of insect flight , 2003, Journal of Experimental Biology.

[23]  J. Westerweel Digital particle image velocimetry: theory and application , 1993 .

[24]  A Hedenström,et al.  The vortex wake of blackcaps (Sylvia atricapilla L.) measured using high-speed digital particle image velocimetry (DPIV) , 2009, Journal of Experimental Biology.

[25]  A Hedenström,et al.  A family of vortex wakes generated by a thrush nightingale in free flight in a wind tunnel over its entire natural range of flight speeds , 2003, Journal of Experimental Biology.

[26]  Anders Hedenström,et al.  Quantitative studies of the wakes of freely flying birds in a low-turbulence wind tunnel , 2003 .

[27]  David Birch,et al.  Structure and Induced Drag of a Tip Vortex , 2004 .

[28]  G. Pedrizzetti,et al.  Vortex Dynamics , 2011 .

[29]  L. Lourenço Particle Image Velocimetry , 1989 .

[30]  M. Raffel,et al.  Feasibility study of three-dimensional PIV by correlating images of particles within parallel light sheet planes , 1995 .

[31]  A Hedenström,et al.  Time-resolved vortex wake of a common swift flying over a range of flight speeds , 2011, Journal of The Royal Society Interface.

[32]  Thomas Gerz,et al.  Commercial aircraft wake vortices , 2002 .

[33]  A. Hedenström,et al.  Aerodynamics of gliding flight in common swifts , 2011, Journal of Experimental Biology.

[34]  Kenneth Breuer,et al.  Aeromechanics of Membrane Wings with Implications for Animal Flight ArnoldSong, ∗ XiaodongTian, † EmilyIsraeli, ‡ RicardoGalvao, § KristinBishop, ¶ SharonSwartz, ∗∗ , 2008 .

[35]  I. Grant Particle image velocimetry: A review , 1997 .

[36]  Ronald J. Adrian,et al.  Dynamic ranges of velocity and spatial resolution of particle image velocimetry , 1997 .

[37]  W. Devenport,et al.  The structure and development of a wing-tip vortex , 1996, Journal of Fluid Mechanics.

[38]  D. Kuchemann,et al.  A Simple Method for Calculating the Span and Chordwise Loading on Straight and Swept Wings of any Given Aspect Ratio at Subsonic Speeds. , 1952 .