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Volumn 18, Issue 1, 2006, Pages

Transient and steady-state amplitudes of resonant three-dimensional sloshing in a square base tank with a finite fluid depth

Author keywords

Chaos; Confined flow; Flow instability; Rotational flow; Sloshing; Swirling flow; Waves

Indexed keywords

ASYMPTOTIC STABILITY; CHAOS THEORY; CONFINED FLOW; NATURAL FREQUENCIES; ROTATIONAL FLOW; SWIRLING FLOW;

EID: 33645674216     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2160522     Document Type: Article
Times cited : (70)

References (33)
  • 1
    • 0042732021 scopus 로고    scopus 로고
    • "Resonant three-dimensional nonlinear sloshing in a square base basin"
    • jfl JFLSA7 0022-1120 10.1017/S0022112003004816
    • O. M. Faltinsen, O. F. Rognebakke, and A. N. Timokha, "Resonant three-dimensional nonlinear sloshing in a square base basin," J. Fluid Mech. 487, 1 (2003). jfl JFLSA7 0022-1120 10.1017/S0022112003004816
    • (2003) J. Fluid Mech. , vol.487 , pp. 1
    • Faltinsen, O.M.1    Rognebakke, O.F.2    Timokha, A.N.3
  • 2
    • 13844275227 scopus 로고    scopus 로고
    • " Resonant three-dimensional nonlinear sloshing in a square base basin. Part 2. Effect of higher modes"
    • jfl JFLSA7 0022-1120
    • O. M. Faltinsen, O. F. Rognebakke, and A. N. Timokha, " Resonant three-dimensional nonlinear sloshing in a square base basin. Part 2. Effect of higher modes," J. Fluid Mech. 523, 199 (2005). jfl JFLSA7 0022-1120
    • (2005) J. Fluid Mech. , vol.523 , pp. 199
    • Faltinsen, O.M.1    Rognebakke, O.F.2    Timokha, A.N.3
  • 3
    • 12344290448 scopus 로고    scopus 로고
    • "Classification of three-dimensional nonlinear sloshing in a square-base tank with finite depth"
    • 9hb ZZZZZZ 0889-9746
    • O. M. Faltinsen, O. F. Rognebakke, and A. N. Timokha, "Classification of three-dimensional nonlinear sloshing in a square-base tank with finite depth," J. Fluids Struct. 20, 81 (2005). 9hb ZZZZZZ 0889-9746
    • (2005) J. Fluids Struct. , vol.20 , pp. 81
    • Faltinsen, O.M.1    Rognebakke, O.F.2    Timokha, A.N.3
  • 4
    • 84932373798 scopus 로고
    • "On oscillations of a fluid in the tank having the shape of rectangular parallelepiped"
    • (in Russian)
    • V. I. Stolbetsov, "On oscillations of a fluid in the tank having the shape of rectangular parallelepiped," Mekh. Zhidk. Gaza 67 (1967) (in Russian).
    • (1967) Mekh. Zhidk. Gaza , vol.67
    • Stolbetsov, V.I.1
  • 5
    • 0004968682 scopus 로고
    • "3D numerical simulation of impact load due to liquid cargo sloshing"
    • M. Arai, L. Y. Cheng, and Y. Inoue, "3D numerical simulation of impact load due to liquid cargo sloshing," J. Soc. of Nav. Arch. of Japan 171, 177 (1992).
    • (1992) J. Soc. of Nav. Arch. of Japan , vol.171 , pp. 177
    • Arai, M.1    Cheng, L.Y.2    Inoue, Y.3
  • 6
    • 0042866186 scopus 로고
    • "Numerical simulation of sloshing and swirling in cubic and cylindrical tank"
    • Japan
    • M. Arai, L. Y. Cheng, and Y. Inoue, "Numerical simulation of sloshing and swirling in cubic and cylindrical tank," J. Kansai Soc. Nav. Arch., Japan 97 (1993).
    • (1993) J. Kansai Soc. Nav. Arch. , pp. 97
    • Arai, M.1    Cheng, L.Y.2    Inoue, Y.3
  • 7
    • 0642266928 scopus 로고
    • "The dynamics of liquids in moving containers"
    • SP
    • H. N. Abramson, "The dynamics of liquids in moving containers," NASA Report, SP 106 (1966).
    • (1966) NASA Report , pp. 106
    • Abramson, H.N.1
  • 8
    • 0021584508 scopus 로고
    • "Resonantly forces surface waves in circular cylinder"
    • jfl JFLSA7 0022-1120
    • J. W. Miles, "Resonantly forces surface waves in circular cylinder," J. Fluid Mech. 149, 15 (1984). jfl JFLSA7 0022-1120
    • (1984) J. Fluid Mech. , vol.149 , pp. 15
    • Miles, J.W.1
  • 9
    • 0041363456 scopus 로고    scopus 로고
    • "A multimodal approach to nonlinear sloshing in a circular cylindrical tank"
    • I. Gavrilyuk, I. A. Lukovsky, and A. N. Timokha, "A multimodal approach to nonlinear sloshing in a circular cylindrical tank," Hybrid Methods in Engineering 2, 463 (2000).
    • (2000) Hybrid Methods in Engineering , vol.2 , pp. 463
    • Gavrilyuk, I.1    Lukovsky, I.A.2    Timokha, A.N.3
  • 10
    • 0030148543 scopus 로고    scopus 로고
    • "Multi-mode resonance in fluids"
    • jfl JFLSA7 0022-1120
    • H. Ockendon, J. R. Ockendon, and D. D. Waterhouse, "Multi-mode resonance in fluids," J. Fluid Mech. 315, 317 (1996). jfl JFLSA7 0022-1120
    • (1996) J. Fluid Mech. , vol.315 , pp. 317
    • Ockendon, H.1    Ockendon, J.R.2    Waterhouse, D.D.3
  • 11
    • 0035718805 scopus 로고    scopus 로고
    • "Nonlinearity in fluid resonances"
    • mec MECCB9 0025-6455
    • H. Ockendon and J. R. Ockendon, "Nonlinearity in fluid resonances," Meccanica 36, 297 (2001). mec MECCB9 0025-6455
    • (2001) Meccanica , vol.36 , pp. 297
    • Ockendon, H.1    Ockendon, J.R.2
  • 12
    • 0032455648 scopus 로고    scopus 로고
    • "Numerical simulation of sloshing waves in 3D tank based on a finite element method"
    • 9jf AOCRDS 0141-1187
    • G. X. Wu, Q. W. Ma, and R. E. Taylor, "Numerical simulation of sloshing waves in 3D tank based on a finite element method," Appl. Ocean. Res. 20, 337 (1998). 9jf AOCRDS 0141-1187
    • (1998) Appl. Ocean. Res. , vol.20 , pp. 337
    • Wu, G.X.1    Ma, Q.W.2    Taylor, R.E.3
  • 13
    • 0024610573 scopus 로고
    • "Symmetry-breaking bifurcations in resonant surface waves"
    • jfl JFLSA7 0022-1120
    • Z. C. Feng and P. R. Senthna, "Symmetry-breaking bifurcations in resonant surface waves," J. Fluid Mech. 199, 495 (1989). jfl JFLSA7 0022-1120
    • (1989) J. Fluid Mech. , vol.199 , pp. 495
    • Feng, Z.C.1    Senthna, P.R.2
  • 14
    • 0025414831 scopus 로고
    • "Single-mode Faraday waves in small cylinder"
    • jfl JFLSA7 0022-1120
    • D. M. Henderson and J. W. Miles, "Single-mode Faraday waves in small cylinder," J. Fluid Mech. 213, 95 (1990). jfl JFLSA7 0022-1120
    • (1990) J. Fluid Mech. , vol.213 , pp. 95
    • Henderson, D.M.1    Miles, J.W.2
  • 15
    • 0028450150 scopus 로고
    • "Faraday waves: Rolls versus squares"
    • jfl JFLSA7 0022-1120
    • J. W. Miles, "Faraday waves: Rolls versus squares," J. Fluid Mech. 269, 353 (1994). jfl JFLSA7 0022-1120
    • (1994) J. Fluid Mech. , vol.269 , pp. 353
    • Miles, J.W.1
  • 16
    • 0034353780 scopus 로고    scopus 로고
    • "Capillary effects on surface waves"
    • arf ARVFA3 0066-4189 10.1146/annurev.fluid.32.1.241
    • M. Perlin and W. W. Schultz, "Capillary effects on surface waves," Annu. Rev. Fluid Mech. 32, 241 (2000). arf ARVFA3 0066-4189 10.1146/annurev.fluid.32.1.241
    • (2000) Annu. Rev. Fluid Mech. , vol.32 , pp. 241
    • Perlin, M.1    Schultz, W.W.2
  • 17
    • 0023288876 scopus 로고
    • "On secondary bifurcation of three-dimensional standing waves"
    • smj SMJMAP 0036-1399
    • T. J. Bridges, "On secondary bifurcation of three-dimensional standing waves," SIAM J. Appl. Math. 47, 40 (1986). smj SMJMAP 0036-1399
    • (1986) SIAM J. Appl. Math. , vol.47 , pp. 40
    • Bridges, T.J.1
  • 18
    • 0023143735 scopus 로고
    • "Secondary bifurcation and change of type for three dimensional standing waves in finite depth"
    • jfl JFLSA7 0022-1120
    • T. J. Bridges, "Secondary bifurcation and change of type for three dimensional standing waves in finite depth," J. Fluid Mech. 179, 137 (1987). jfl JFLSA7 0022-1120
    • (1987) J. Fluid Mech. , vol.179 , pp. 137
    • Bridges, T.J.1
  • 19
    • 0028482763 scopus 로고
    • "Different forms for nonlinear standing waves in deep water"
    • jfl JFLSA7 0022-1120
    • P. J. Bryant and M. Stiassnie, "Different forms for nonlinear standing waves in deep water," J. Fluid Mech. 272, 135 (1994). jfl JFLSA7 0022-1120
    • (1994) J. Fluid Mech. , vol.272 , pp. 135
    • Bryant, P.J.1    Stiassnie, M.2
  • 20
    • 0029416046 scopus 로고
    • "Water waves in a deep square basin"
    • jfl JFLSA7 0022-1120
    • P. J. Bryant and M. Stiassnie, "Water waves in a deep square basin," J. Fluid Mech. 302, 65 (1995). jfl JFLSA7 0022-1120
    • (1995) J. Fluid Mech. , vol.302 , pp. 65
    • Bryant, P.J.1    Stiassnie, M.2
  • 21
    • 0042365146 scopus 로고    scopus 로고
    • "Variational approach to the problem of sloshing in a moving container"
    • M. La Rocca, P. Mele, and V. Armenio, "Variational approach to the problem of sloshing in a moving container," J. Theor. Appl. Fluid Mech. 1, 280 (1997).
    • (1997) J. Theor. Appl. Fluid Mech. , vol.1 , pp. 280
    • La Rocca, M.1    Mele, P.2    Armenio, V.3
  • 22
    • 0034049936 scopus 로고    scopus 로고
    • "A fully nonlinear model for sloshing in a rotating container"
    • fdr FDRSEH 0169-5983 10.1016/S0169-5983(99)00039-8
    • M. La Rocca, G. Sciortino, and M. A. Boniforti, "A fully nonlinear model for sloshing in a rotating container," Fluid Dyn. Res. 27, 23 (2000). fdr FDRSEH 0169-5983 10.1016/S0169-5983(99)00039-8
    • (2000) Fluid Dyn. Res. , vol.27 , pp. 23
    • La Rocca, M.1    Sciortino, G.2    Boniforti, M.A.3
  • 23
    • 0035836758 scopus 로고    scopus 로고
    • "Adaptive multimodal approach to nonlinear sloshing in a rectangular rank"
    • jfl JFLSA7 0022-1120
    • O. M. Faltinsen and A. N. Timokha, "Adaptive multimodal approach to nonlinear sloshing in a rectangular rank," J. Fluid Mech. 432, 167 (2001). jfl JFLSA7 0022-1120
    • (2001) J. Fluid Mech. , vol.432 , pp. 167
    • Faltinsen, O.M.1    Timokha, A.N.2
  • 24
    • 0032046301 scopus 로고    scopus 로고
    • "Surface-wave damping in a brimful circular cylinder"
    • jfl JFLSA7 0022-1120 10.1017/S0022112098008520
    • C. Martel, J. A. Nicolas, and J. M. Vega, "Surface-wave damping in a brimful circular cylinder," J. Fluid Mech. 360, 213 (1998). jfl JFLSA7 0022-1120 10.1017/S0022112098008520
    • (1998) J. Fluid Mech. , vol.360 , pp. 213
    • Martel, C.1    Nicolas, J.A.2    Vega, J.M.3
  • 25
    • 23944522816 scopus 로고    scopus 로고
    • "Modal modelling of the nonlinear resonant sloshing in a rectangular tank I: A single-dominant model"
    • ali MMMSEU 0218-2025
    • M. Hermann and A. Timokha, "Modal modelling of the nonlinear resonant sloshing in a rectangular tank I: A single-dominant model," Math. Models Meth. Appl. Sci. 15, 1431 (2005). ali MMMSEU 0218-2025
    • (2005) Math. Models Meth. Appl. Sci. , vol.15 , pp. 1431
    • Hermann, M.1    Timokha, A.2
  • 26
    • 17444402872 scopus 로고    scopus 로고
    • "Nonlinear random responses of a structure parametrically coupled with liquid sloshing in a cylindrical tank"
    • jsu JSVIAG 0022-460X
    • T. Ikeda and R. Ibrahim, "Nonlinear random responses of a structure parametrically coupled with liquid sloshing in a cylindrical tank," J. Sound Vib. 284, 75 (2005). jsu JSVIAG 0022-460X
    • (2005) J. Sound Vib. , vol.284 , pp. 75
    • Ikeda, T.1    Ibrahim, R.2
  • 27
    • 0039195362 scopus 로고
    • "Bifurcations in resonantly forced water waves"
    • ejk EJBFEV 0997-7546
    • M. Funakoshi and S. Inoue, "Bifurcations in resonantly forced water waves," Eur. J. Mech. B/Fluids 10, 31 (1991). ejk EJBFEV 0997-7546
    • (1991) Eur. J. Mech. B/Fluids , vol.10 , pp. 31
    • Funakoshi, M.1    Inoue, S.2
  • 28
    • 0033910207 scopus 로고    scopus 로고
    • "Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth"
    • jfl JFLSA7 0022-1120 10.1017/S0022112099007569
    • O. M. Faltinsen, O. F. Rognebakke, I. A. Lukovsky, and A. N. Timokha, "Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth," J. Fluid Mech. 407, 201 (2000). jfl JFLSA7 0022-1120 10.1017/S0022112099007569
    • (2000) J. Fluid Mech. , vol.407 , pp. 201
    • Faltinsen, O.M.1    Rognebakke, O.F.2    Lukovsky, I.A.3    Timokha, A.N.4
  • 29
    • 34250447917 scopus 로고
    • "Stability of periodic waves of finite amplitude on the surface of a deep fluid"
    • yaq JMPYAQ 0021-8944
    • V. E. Zakharov, "Stability of periodic waves of finite amplitude on the surface of a deep fluid," J. Appl. Mech. Tech. Phys. 2, 190 (1968). yaq JMPYAQ 0021-8944
    • (1968) J. Appl. Mech. Tech. Phys. , vol.2 , pp. 190
    • Zakharov, V.E.1
  • 30
    • 84958437979 scopus 로고
    • "Energy dissipation in standing waves in rectangular basin"
    • jfl JFLSA7 0022-1120
    • G. H. Keulegan, "Energy dissipation in standing waves in rectangular basin," J. Fluid Mech. 6, 33 (1959). jfl JFLSA7 0022-1120
    • (1959) J. Fluid Mech. , vol.6 , pp. 33
    • Keulegan, G.H.1
  • 31
    • 0038168814 scopus 로고    scopus 로고
    • "Transient and steady-state amplitudes of forced waves in rectangular tanks"
    • phf PHFLE6 1070-6631 10.1063/1.1569917
    • D. H. Hill, "Transient and steady-state amplitudes of forced waves in rectangular tanks," Phys. Fluids 15, 1576 (2003). phf PHFLE6 1070-6631 10.1063/1.1569917
    • (2003) Phys. Fluids , vol.15 , pp. 1576
    • Hill, D.H.1
  • 32
    • 0002989421 scopus 로고
    • "An experimental study of standing waves"
    • Ser. A prz PRLAAZ 1364-5021
    • G. I. Taylor, "An experimental study of standing waves," Proc. R. Soc. London, Ser. A CCXVIII, 44 (1953). prz PRLAAZ 1364-5021
    • (1953) Proc. R. Soc. London , vol.263 , pp. 44
    • Taylor, G.I.1
  • 33
    • 33645675660 scopus 로고    scopus 로고
    • "Nonlinear wave motions in containers and wave breaking characteristics"
    • edited by K. Cheng and L. Yeow (Taylor & Francis, London)
    • A. Royon, E. J. Hopffinger, and A. Cartelier, "Nonlinear wave motions in containers and wave breaking characteristics," Hydrodynamics VI: Theory and Applications, edited by K. Cheng and L. Yeow (Taylor & Francis, London, 2005), pp. 555-561.
    • (2005) Hydrodynamics VI: Theory and Applications , pp. 555-561
    • Royon, A.1    Hopffinger, E.J.2    Cartelier, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.