Experimental studies of surface waves inside a cylindrical container

Journal of Fluid Mechanics

Volumn 677, Issue , 2011, Pages 39-62

  Lee, Cunbiao ^a   Peng, Huaiwu ^a   Yuan, Huijing ^a   Wu, Jiezhi ^a   Zhou, Mingde ^a   Hussain, Fazle ^b  

^a PEKING UNIVERSITY   (China)

^b UNIVERSITY OF HOUSTON   (United States)

Author keywords

capillary waves; instability

Indexed keywords

AIR; CONTAINERS; DROPS; GRAVITY WAVES; PHASE INTERFACES; PLASMA STABILITY; TURBULENT FLOW; WATER WAVES;

AIR WATER INTERFACES; CAPILLARY WAVE; CYLINDRICAL CONTAINERS; DROPLET EJECTION; FLUORESCENT PARTICLE; HIGH FREQUENCY HF; PARTICLE IMAGING VELOCIMETRY; WALL OSCILLATIONS;

SURFACE WAVES;

CAPILLARY WAVE; GRAVITY WAVE; INSTABILITY; JET; SURFACE WAVE; VORTEX FLOW;

EID: 79959201448     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.43     Document Type: Article

References (49)

1. Carlsson, F., Sen, M. & Löfdahl, L. 2004 Steady streaming due to vibrating walls. Phys. Fluids 16, 2375-2395.
2. Chang, C. C. 1999 Nonlinear theories of forced surface waves in a circular basin. PhD thesis, University of Wisconsin-Madison, Madison, WI.
3. Chang, C. C. & Shen, M. C. 2000a Chaotic motion and internal resonance of forced surface waves in a water-filled circular basin. Wa ve Mo ti o n 31, 317-331.
4. Chang, C. C. & Shen, M. C. 2000b Nonlinear capillary-gravity waves under an edge condition. J. Engng Math. 38, 391-402.
5. Davidson, B. J. & Riley, N. 1972 Jets induced by oscillatory motion. J. Fluid Mech. 53, 287-303.
6. Faltinsen, O. M., Rognebakke, O. F. & Timokha, A. N. 2006a Resonant three-dimensional nonlinear sloshing in a square-base basin. Part 3. Base ratio perturbations. J. Fluid Mech. 551, 93-116.
7. Faltinsen, O. M., Rognebakke, O. F. & Timokha, A. N. 2006b Transient and steady-state amplitudes of resonant three-dimensional sloshing in a square-based tank with a finite fluid depth. Phys. Fluids 18, 012103.
8. Faraday, M. 1831 On a peculiar class of acoustical figures; and on certain forms assumed by groups of particles upon vibrating elastic surfaces. Philos. Trans. R. Soc. Lond. 121, 299-340.
9. Fukaya, M., Madarame, H. & Okamoto, K. 1996 Growth mechanism of self-induced sloshing caused by jet in rectangular tank (2nd report, multimode sloshing caused by horizontal rectangular jet). Trans. JSME, (B) 62, 64-71.
10. Gavrilyuk, I., Lukovsky, I. & Timokha, A. 2004 Two-dimensional variational vibroequilibria and Faraday's drops. Z. Angew. Math. Phys. 55, 1015-1033. (Pubitemid 40042127)
11. Goodridge, C. L., Shi, W. T. & Lathrop, D. P. 1996 Threshold dynamics of singular gravity- capillary waves. Phys. Rev. Lett. 76, 1824-1827. (Pubitemid 126638876)
12. Hirsa, A. H., Lopez, J. M. & Miraghaie, R. 2002 Determination of surface shear viscosity via deep-channel flow with inertia. J. Fluid Mech. 470, 135-149. (Pubitemid 35274063)
13. Ho, C. M. & Huerre, P. 1984 Perturbed free shear layers. Annu. Rev. Fluid Mech. 16, 365-424.
14. Hsieh, D. Y. 1994 Standing water waves in a circular basin. In Proceedings of the International Conference on Hydrodynamics, pp. 74-79.
15. Hsieh, D. Y. 1997 Water waves in an elastic vessel. Acta Mechanica Sin. 13, 289-303.
16. Hsieh, D. Y. 2000 Theory of water waves in an elastic vessel. Acta Mechanica Sin. 16, 97-112.
17. Hsieh, D. Y. & Denissenko, P. 1998 Water waves in a circular elastic vessel: the experiment. Tech. Rep. 98-6-1. Department of Mathematics, Hong Kong University of Science and Technology.
18. Hu, H., Kobayashi, T., Saga, T., Segawa, T. N., Taniguchi, N. M. & Okamoto, K. 1999 A PIV study on the self-induced sloshing in a tank with circulating flow. In Second Pacific Symposium on Flow Visualization and Image Processing, CD-ROM paper No. PF152.
19. Huntley, I. 1972 Observations on a spatial-resonance phenomenon. J. Fluid Mech. 53, 209-216.
20. Jenkins, A. D. & Dysthe, K. B. 1997 The effective film viscosity coefficients of a thin floating fluid layer. J. Fluid Mech. 344, 335-337.
21. Lee, C. B. & Wu, J. Z. 2008 Transition in wall-bounded flow. Appl. Mech. Rev. 61, 030802.
22. Lighthill, M. J. 1978 Acoustic streaming. J. Sound Vib. 61, 391-418.
23. Lin, H. J. & Perlin, M. 2001 The velocity and vorticity fields beneath gravity-capillary waves exhibiting parasitic ripples. Wav e Mot i on 33, 245-257. (Pubitemid 33585761)
24. Liu, X. J., Liu, G. Y., Jia, Q. F. & Zhang, S. X. 2005 Vibration analysis of the revolving gravity waves in fluid-filled cylindrical shells. J. Tianjin Univ. Sci. Techol. 38, 288-293.
25. Mahony, J. J. & Smith, R. 1972 On a model representation for the spatial-resonance phenomena. J. Fluid Mech. 53, 193-207.
26. Miles, J. & Henderson, D. 1990 Parametrically forced surface waves. Annu. Rev. Fluid Mech. 22, 143-165.
27. Mui, R. C. Y. & Dommermuth, D. G. 1995 The vortical structure of parasitic capillary waves. J. Fluid Engng 117, 355-361.
28. Okamoto, K., Madarame, H. & Hagiwara, T. 1991 Self-induced oscillation of free surface in a tank with circulating flow. In Proc. Fifth Intl Conf. Flow Induced Vibrations (ed. B. L. Clarkson), pp. 539-545. IMechE.
29. Peng, H. W. & Lee, C. B. 2009 Periodic tripling and jet eruption of forced steep gravity waves. Mod. Phys. Lett. B 23, 397-400.
30. Peng, H. W., Li, R. Q., Chen, S. Z. & Lee, C. B. 2008 Correlation dimension analysis and capillary wave turbulence in dragon-wash phenomena. Chin. Phys. B 17, 637-643.
31. Peng, H. W., Wang, D. J. & Lee, C. B. 2005 Nonlinear low frequency water waves in a cylindrical shell. Mod. Phys. Lett. B 19, 1615-1618. (Pubitemid 43112015)
32. Peng, H. W., Yuan, H. J., Chen, S. Z., Wang, D. J. & Lee, C. B. 2006 Experimental studies on dragon wash phenomena. J. Hydrodyn. 18, 507-510.
33. Rayleigh, L. 1883 On the circulation of air observed in Kundts tubes and some allied acoustical problems. Philos. Trans. R. Soc. Lond. Ser. A 175, 1-21.
34. Riley, N. 2001 Steady streaming. Annu. Rev. Fluid Mech. 33, 43-65.
35. Royon-Lebeaud, A. Hopfinger, E. J. & Cartellier, A. 2007 Liquid sloshing and wave breaking in circular and square-base cylindrical containers. J. Fluid Mech. 577, 467-494. (Pubitemid 47307596)
36. Saeki, S., Madarame, H. & Okamoto, K. 2001 Self-induced sloshing excited by a horizontally injected plane jet. J. Fluid Mech. 448, 81-114. (Pubitemid 33087438)
37. Saeki, S., Madarame, H., Okamoto, K. & Tanaka, N. 1997 Numerical study on the self-induced sloshing. In FEDSM97-3401 ASME FED Summer Meeting.
38. Sharipov, F. M. & Kremer, G. M. 1999 Non-isothermal Couette flow of a rarefied gas between two rotating cylinders. Eur. J. Mech. B/Fluids 18, 121-130.
39. Shen, M. C. & Hsieh, D. Y. 1993 Forced capillary-gravity waves in a circular basin. Wave Motion 18, 401-412.
40. Shen, M. C. & Yeh, N. S. 1997 Exact solution for forced capillary-gravity waves in a circular basin under Hocking's edge condition. Wave Motion 26, 117-126. (Pubitemid 127347650)
41. Sun, S. M., Shen, M. C. & Hsieh, D. Y. 1995 Nonlinear theory of forced surface waves in a circular basin. Wave Motion 21, 331-341.
42. Takizawa, A., Koshizuka, S. & Kondo, S. 1992 Generalization of physical components boundary fitted coordinate (PCBFC) method for the analysis of free surface flow. Intl J. Numer. Meth. Fluids 15, 1213-1237. (Pubitemid 23586544)
43. Tower, D. P., Towers, C. E., Buckberry C. H. & Reeves, M. 1999 A colour PIV system employing fluorescent particles for two-phase flow measurements. Meas. Sci. Technol. 10, 824-830.
44. Wang, D. J. 1993 Study on mechanical characteristics of ancient cultural relics. Sci. Conserv. Archaeol. 5, 35-39.
45. Wang, D. J. 2005 Bell chime, dragon washbasin-modern scientific information hidden in ancient Chinese science and technology. Technishe Mechanik 25, 9-16.
46. Wei, Q., Wang, D., Yan, B., Du, X. & Chen, J. 1997 A visualization study on water spray of dragon washbasin. In Atlas of Visualization (ed. The Visualization Society of Japan), pp. 169-179. CRC press.
47. Welsh, M. C., Stokes, A. N. & Parker, R. 1984 Flow-resonant sound interaction in a duct containing a plate. Part 1. Semicircular leading edge. J. Sound Vib. 95, 305-323. (Pubitemid 14671333)
48. Wu, J. Z. 1995 A theory of three-dimensional interfacial vorticity dynamics. Phys. Fluids 7, 2375-2395.
49. Wu, J. Z., Ma, H. Y. & Zhou, M. D. 2006 Vorticity and Vortex Dynamics. Springer-Verlag.