Numerical Investigation of Aerodynamic Characteristics by a Rotating Thin Plate

Abstract

In this study, we use a thin rotating plate to generate propulsion and lift for a paper plate. And the thin plate rotates along the spanwise axis. We numerically determine the influence on aerodynamic characteristics with a rotational velocity of the thin plate. The rotational velocity is obtained with spin parameter which is the ratio of the peripheral speed of the plate to the main flow velocity. And the numerical simulations based on the discrete vortex method show that the autorotation mode of the plate in a uniform flow appears naturally when the spin parameter is unity. Vortex formed from the backward-rotating edge is weaker than those generated from the forward-rotating edge of thin plate. The maximum lift generated at S = 0.75 if S < 1. The negative moment becomes negative for the nondimensional rotating speed S ≤ 1.75. The most negative moment appears when S = 1; at that time, autorotation occurs naturally.

Share and Cite:

Kubota, Y. and Mochizuki, O. (2015) Numerical Investigation of Aerodynamic Characteristics by a Rotating Thin Plate. World Journal of Mechanics, 5, 42-47. doi: 10.4236/wjm.2015.53005.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Mittal, R., Seshadri, V. and Udaykumar, H.S. (2004) Flutter, Tumble and Vortex Induced Autorotation. Theoretical and Computational Fluid Dynamics, 17, 165-170.
http://dx.doi.org/10.1007/s00162-003-0101-5
[2] Aono, H., Liang, F.Y. and Liu, H. (2008) Near- and Far-Field Aerodynamics in Insect Hovering Flight: An Integrated Computational Study. The Journal of Experimental Biology, 211, 239-257.
http://dx.doi.org/10.1242/jeb.008649
[3] Kubota, Y. and Mochizuki, O. (2013) Role on Moment of Inertia and Vortex Dynamics for a Thin Rotating Plate. World Journal of Mechanics, 3, 270-276.
http://dx.doi.org/10.4236/wjm.2013.36028
[4] Bonisch, S. and Heuveline, V. (2007) On the Numerical Simulation of the Unsteady Free Fall of a Solid in a Fluid: I. The Newtonian Case. Computers and Fluids, 36, 1434-1445.
http://dx.doi.org/10.1016/j.compfluid.2007.01.010
[5] Finn, D.L. (2007) Falling Paper and Flying Business Cards. SIAM News, 40.
[6] Andersen, A., Pesavento, U. and Wang, Z.J. (2005) Analysis of Transitions between Fluttering, Tumbling and Steady Descent of Falling Card. Journal of Fluid Mechanics, 541, 91-104.
http://dx.doi.org/10.1017/S0022112005005847
[7] Mahadevan, L., Ryu, W.S. and Samuel, A.D.T. (1999) Tumbling Cards. Physics of Fluids, 11, 1-3.
http://dx.doi.org/10.1063/1.869919
[8] Hirata, K., Hayakawa, M. and Funaki, J. (2011) On Tumbling of a Two-Dimensional Plate under Free Flight. Journal of Fluid Science and Technology, 6, 177-191.
http://dx.doi.org/10.1299/jfst.6.177
[9] Pesavento, U. and Wang, Z.J. (2004) Falling Paper: Navier-Stokes Solutions, Model of Fluid Forces, and Center of Mass Elevation. Physical Review Letters, 93, 144501-1-144501-4.
http://dx.doi.org/10.1103/PhysRevLett.93.144501
[10] Jin, C.Q. and Xu, K. (2008) Numerical Study of the Unsteady Aerodynamics of Freely Falling Plates. Communications in Computational Physics, 3, 834-851.
[11] Smith, E.H. (1971) Autorotating Wings: An Experimental Investigation. Journal of Fluid Mechanics, 50, 512-534.
http://dx.doi.org/10.1017/S0022112071002738
[12] Kawaguchi, D., Ymauchi, K., Funaki, J. and Hirata, K. (2008) Free-Fall Experiments on a Tumbling Plate. JAXA-SP-08-009, 151-156 (in Japanese).
[13] Iima, M. (2007) A Two-Dimensional Aerodynamic Model of Freely Flying Insects. Journal of Theoretical Biology, 247, 657-671.
http://dx.doi.org/10.1016/j.jtbi.2007.03.012

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.