Reynolds number dependency of an insect-based flapping wing

Aerodynamic characteristics depending on Reynolds number (Re) ranges were studied to investigate the suitable design parameters of an insect-based micro air vehicle (MAV). The tests centered on the wing rotation timing and Re ranges, and were conducted to understand the lift augmentations and unsteady effects. A dynamically scaled-up flapping wing controlled by a pair of servos was installed underwater with a micro force/torque sensor. A high-speed camera and a laser sheet were also put in front of the water tank for the time-resolved digital particle image velocimetry (DPIV). The lift augmentations clearly appeared at low Re and were well reflected on the insect's flight range. In the case of the high Re, however, the peak standing for the wing–wake interaction was delayed, and the pitching-up rotation was not able to lead to another lift enhancement, i.e., rotational lift. In such Re, the mean CL and the L/D of the advanced rotation were substantially decreased from those of the other rotations. The DPIV results at high Re well described turbulent characteristics such as the irregular, unstable, and high-intensity vortex structures with a short temporal delay. In the advanced rotation, the LEV in the rotational phase could not maintain the attachment. Thus, the rotational lift was not able to work. On the contrary, the temporal response delay benefitted the wing in the delayed rotation. Therefore, the wing in the delayed rotation had both a similar level of the mean CL and a higher marked L/D than those of the advanced rotation. Such results indicate that the high Re could interrupt lift augmentation mechanisms, and these augmentations would not be suitable for a heavier MAV. In conclusion, using adequate wing kinematics to acquire estimations of the weight and range of the Re is highly recommended at the aerodynamic design step.

[1]  Yuan Lu,et al.  Dual leading-edge vortices on flapping wings , 2006, Journal of Experimental Biology.

[2]  R. Norberg Hovering Flight of the Dragonfly Aeschna Juncea L., Kinematics and Aerodynamics , 1975 .

[3]  M. Dickinson,et al.  The aerodynamic effects of wing rotation and a revised quasi-steady model of flapping flight. , 2002, The Journal of experimental biology.

[4]  Haecheon Choi,et al.  Two-dimensional mechanism of hovering flight by single flapping wing , 2007 .

[5]  Mao Sun,et al.  Unsteady aerodynamic force generation by a model fruit fly wing in flapping motion. , 2002, The Journal of experimental biology.

[6]  M. Dickinson,et al.  The control of flight force by a flapping wing: lift and drag production. , 2001, The Journal of experimental biology.

[7]  R. Ramamurti,et al.  A three-dimensional computational study of the aerodynamic mechanisms of insect flight. , 2002, The Journal of experimental biology.

[8]  H Liu,et al.  Size effects on insect hovering aerodynamics: an integrated computational study , 2009, Bioinspiration & biomimetics.

[9]  M. Dickinson,et al.  Wing rotation and the aerodynamic basis of insect flight. , 1999, Science.

[10]  B. Tobalske,et al.  Aerodynamics of the hovering hummingbird , 2005, Nature.

[11]  Sue Francis,et al.  Physiological measurements using ultra-high field fMRI: a review , 2014, Physiological measurement.

[12]  Adrian L. R. Thomas,et al.  Leading-edge vortices in insect flight , 1996, Nature.

[13]  M. Dickinson,et al.  Rotational accelerations stabilize leading edge vortices on revolving fly wings , 2009, Journal of Experimental Biology.

[14]  S. Sane,et al.  Aerodynamic effects of flexibility in flapping wings , 2010, Journal of The Royal Society Interface.

[15]  M. Dickinson,et al.  Force production and flow structure of the leading edge vortex on flapping wings at high and low Reynolds numbers , 2004, Journal of Experimental Biology.

[16]  Henry Won,et al.  Development of the Nano Hummingbird: A Tailless Flapping Wing Micro Air Vehicle , 2012 .

[17]  J. P. Whitney,et al.  Aeromechanics of passive rotation in flapping flight , 2010, Journal of Fluid Mechanics.

[18]  Haecheon Choi,et al.  Kinematic control of aerodynamic forces on an inclined flapping wing with asymmetric strokes , 2012, Bioinspiration & biomimetics.

[19]  Haecheon Choi,et al.  Sectional lift coefficient of a flapping wing in hovering motion , 2010 .

[20]  Jae-Hung Han,et al.  Experimental Study on the Unsteady Aerodynamics of a Robotic Hawkmoth Manduca sexta model , 2014 .

[21]  Hao Liu,et al.  Flapping Wings and Aerodynamic Lift: The Role of Leading-Edge Vortices , 2007 .

[22]  C. Ellington The novel aerodynamics of insect flight: applications to micro-air vehicles. , 1999, The Journal of experimental biology.

[23]  Jae-Hung Han,et al.  A multibody approach for 6-DOF flight dynamics and stability analysis of the hawkmoth Manduca sexta , 2014, Bioinspiration & biomimetics.

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

[25]  M. Dickinson,et al.  The influence of wing–wake interactions on the production of aerodynamic forces in flapping flight , 2003, Journal of Experimental Biology.

[26]  M. Dickinson,et al.  Biofluiddynamic scaling of flapping, spinning and translating fins and wings , 2009, Journal of Experimental Biology.