A quasi-static approach to the stability of the path of heavy bodies falling within a viscous fluid

Journal of Fluids and Structures

Volumn 27, Issue 5-6, 2011, Pages 758-767

  Fabre, D ^a   Assemat, P ^a   Magnaudet, J ^a  

^a UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

Fluid solid interaction; Fluttering mode; Linear stability; Numerical simulation; Path instability

Indexed keywords

EIGEN MODES; FALLING BODIES; FLUID SOLID INTERACTION; FLUTTERING MODE; FORCES AND TORQUES; HEAVY BODY; INCIDENCE ANGLES; LINEAR MODEL; LINEAR STABILITY; MASS LOADINGS; PATH INSTABILITY; QUASI-STATIC; RIGID BODY; SPANWISE ROTATION; SQUARE CYLINDERS; THIN PLATE; VISCOUS FLUIDS;

CIRCULAR CYLINDERS; FLUIDS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; VISCOUS FLOW;

GRAVITATION;

EID: 79960587991     PISSN: 08899746     EISSN: 10958622     Source Type: Journal    
DOI: 10.1016/j.jfluidstructs.2011.03.013     Document Type: Article

References (21)

1. Andersen A., Pesavento U., Wang Z.J. Analysis of transitions between fluttering, tumbling and steady descent of falling cards. J. Fluid. Mech. 2005, 541:91-104.
2. Andersen A., Pesavento U., Wang Z.J. Unsteady aerodynamics of fluttering and tumbling plates. J. Fluid Mech. 2005, 541:65-90.
3. Belmonte A., Eisenberg H., Moses E. From flutter to tumble: inertial drag and froude similarity in falling paper. Phys. Rev. Lett. 1998, 81:345-348.
4. Ern P., Risso F., Fernandes P.C., Magnaudet J. A dynamical model for the buoyancy-driven zigzag motion of oblate bodies. Phys. Rev. Lett. 2009, 102:134505.
5. Fernandes P., Risso F., Ern P., Magnaudet J. Oscillatory motion and wake instability of freely-rising axisymmetric bodies. J. Fluid Mech. 2007, 573:479-502.
6. Field S., Klaus M., Moore M., Nori F. Chaotic dynamics of falling disks. Nature 1997, 388:252-254.
7. Horowitz M., Williamson C. The effect of Reynolds number on the dynamics and wakes of freely rising and falling spheres. J. Fluid. Mech. 2010, 651:251-294.
8. Jin C., Xu K. Numerical study of the unsteady aerodynamics of the freely falling plates. Commun. Comput. Phys. 2008, 3:834-851.
9. Jones M.A., Shelley M.J. Falling cards. J. Fluid Mech. 2005, 540:393-525.
10. Kolomenskiy D., Schneider K. Numerical simulations of falling leaves using a pseudo-spectral method with volume penalization. Theor. Comput. Fluid Dyn. 2010, 24:169-173.
11. Lamb S.H. Hydrodynamics 1945, Dover. sixth ed.
12. Lugt H. Autorotation. Annu. Rev. Fluid. Mech. 1983, 15:123-147.
13. Mahadevan L. Tumbling of a falling card. C. R. Acd. Sci. Paris 1996, 323:729-736.
14. Mahadevan L., Ryu W.S., Samuel A.D.T. Tumbling cards. Phys. Fluids 1999, 11:1-3.
15. Maxwell J.C. On a particular case of the descent of a heavy body in a resisting medium. Camb. Dublin Math. J. 1854, 9:145-148.
16. McCormick B.W. Aerodynamics, Aeronautics, and Flight Mechanics 1995, Wiley.
17. Pesavento U., Wang Z.J. Falling paper: Navier-Stokes solutions, model of fluid forces, and center of mass elevation. Phys. Rev. Lett. 2004, 93:144501.
18. Sipp D., Lebedev A. Global stability of base and mean flows: a general approach and its applications to cylinder and open cavity flows. J. Fluid Mech. 2007, 593:333-358.
19. Sohankar A., Norberg C., Davidson L. Low-Reynolds flow around a square cylinder at incidence: study of blockage, onset of vortex shedding and open boundary condition. Int. J. Numer. Meth. Fluids 1998, 26:39-56.
20. Tanabe Y., Kaneko K. Behavior of a falling paper. Phys. Rev. Lett. 1994, 73:1372-1375.
21. Willmarth W.W., Hawk N.E., Harvey R.L. Steady and unsteady motions and wakes of freely falling disks. Phys. Fluids 1964, 7:197-208.