phone +7 (3412) 91 60 92

Archive of Issues

Russia Izhevsk
Section Mechanics
Title Optical measurement of a fluid velocity field around a falling plate
Author(-s) Vetchanin E.V.ab, Klenov A.I.a
Affiliations Izhevsk State Technical Universitya, Udmurt State Universityb
Abstract The paper is devoted to the experimental verification of the Andersen-Pesavento-Wang model describing the falling of a heavy plate through a resisting medium. As a main research method the authors have used video filming of a falling plate with PIV measurement of the velocity of surrounding fluid flows. The trajectories of plates and streamlines were determined and oscillation frequencies were estimated using experimental results. A number of experiments for plates of various densities and sizes were performed. The trajectories of plates made of plastic are qualitatively similar to the trajectories predicted by the Andersen-Pesavento-Wang model. However, measured and computed frequencies of oscillations differ significantly. For a plate made of high carbon steel the results of experiments are quantitatively and qualitatively in disagreement with computational results.
Keywords PIV - Particle Image Velocimetry, Maxwell problem, model of Andersen-Pesavento-Wang
UDC 531.37, 532.582.2
MSC 76-05
DOI 10.20537/vm150412
Received 5 November 2015
Language Russian
Citation Vetchanin E.V., Klenov A.I. Optical measurement of a fluid velocity field around a falling plate, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2015, vol. 25, issue 4, pp. 554-567.
  1. Zhukovskii N.E. On soaring of birds, Polnoe sobranie sochinenii. Tom 5: Vikhri. Teoriya kryla. Aviatsiya (The Complete Works. Volume 5: Vortices, Aerofoil Theory, Aviation), Moscow-Leningrad: Editorial Office of Aviation Literature, 1937, pp. 7-35 (in Russian).
  2. Kozlov V.V. On the problem of fall of a rigid body in a resisting medium, Mosc. Univ. Mech. Bull., 1990, vol. 45, no. 1, pp. 30-36.
  3. Kuznetsov S.P. Motion of a falling card in a fluid: Finite-dimensional models, complex phenomena, and nonlinear dynamics, Nelineinaya Dinamika, 2015, vol. 11, no. 1, pp. 3-49 (in Russian).
  4. Andersen A., Pesavento U., Wang Z.J. Analysis of transitions between fluttering, tumbling and steady descent of falling cards, J. Fluid Mech., 2005, vol. 541, pp. 91-104.
  5. Andersen A., Pesavento U., Wang Z.J. Unsteady aerodynamics of fluttering and tumbling plates, J. Fluid Mech., 2005, vol. 541, pp. 65-90.
  6. Belmonte A., Eisenberg H., Moses E. From flutter to tumble: inertial drag and froude similarity in falling paper, Phys. Rev. Lett., 1998, vol. 81, no. 2, pp. 345-348.
  7. Bosbach J., Kühn M., Wagner C., Raffel M., Resagk C., du Puits R., Thess A. Large scale particle image velocimetry of natural and mixed convection, 13th Int. Symp. on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 2006.
  9. Hærvig J., Jensen A.L., Sørensen H., Pedersen M.C. Extending the existing modelling framework for non-spherical particles to include flat plates in free fall - an experimental and numerical investigation of the unsteady aerodynamics of flat plates, Master thesis, Aalborg University, 2014, 154 p.
  10. Jin C., Xu K. Numerical study of the unsteady aerodynamics of freely falling plates, Commun. Comput. Phys., 2008, vol. 3, no. 4, pp. 834-851.
  11. Kolomenskiy D., Schneider K. Numerical simulations of falling leaves using a pseudo-spectral method with volume penalization, Theor. Comput. Fluid Dyn., 2010, vol. 24, pp. 169-173.
  12. Mahadevan L., Pyu W.S., Aravinthan D.T.S. Tumbling cards, Phys. Fluids., 1999, vol. 11, no. 1, pp. 1-3.
  13. Maxwell J.K. On a particular case of a descent of a heavy body in a resisting medium, Camb. and Dubl. Math. Journ., 1854, vol. 9, pp. 145-148.
  14. Raffel M., Willert C.E., Kompenhans J. Particle image velocimetry: a practical guide, Berlin: Springer, 2013, 460 p.
  15. Soria J. An investigation of the near wake of a circular cylinder using a video-based digital cross-correlation particle image velocimetry technique, Experimental Thermal and Fluid Science, 1996, vol. 12, no. 2, pp. 221-233.
  16. Tanabe Y., Kaneko K. Behavior of a falling paper, Phys. Rev. Lett., 1994, vol. 73, no. 10, pp. 1372-1375.
  17. Willmarth W.W., Hawk N.E., Harvey R.L. Steady and unsteady motions and wakes of freely falling disks, Phys. Fluids, 1964, vol. 7, pp. 197-208.
  18. Zhong H., Chen S., Lee C. Experimental study of freely falling thin disks: Transition from planar zigzag to spiral, Phys. Fluids, 2011, vol. 23, 011702, 4 p.
Full text
<< Previous article
Next article >>