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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    Lukovsky, I. A. and Timokha, A. N. 2017. Multimodal Method in Sloshing. Journal of Mathematical Sciences, Vol. 220, Issue. 3, p. 239.
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    Zhou, D. Wang, J. D. and Liu, W. Q. 2014. Nonlinear sloshing of liquid in rigid cylindrical container with a rigid annular baffle: free vibration. Nonlinear Dynamics, Vol. 78, Issue. 4, p. 2557.
    Gavrilyuk, I P Hermann, M Lukovsky, I A Solodun, O V and Timokha, A N 2013. Weakly nonlinear sloshing in a truncated circular conical tank. Fluid Dynamics Research, Vol. 45, Issue. 5, p. 055512.
    Faltinsen, Odd M. and Timokha, Alexander N. 2013. Multimodal analysis of weakly nonlinear sloshing in a spherical tank. Journal of Fluid Mechanics, Vol. 719, Issue. , p. 129.
    Lukovsky, I. Ovchynnykov, D. and Timokha, A. 2012. Asymptotic nonlinear multimodal modeling of liquid sloshing in an upright circular cylindrical tank. I. Modal equations. Nonlinear Oscillations, Vol. 14, Issue. 4, p. 512.
    Faltinsen, O. M. Firoozkoohi, R. and Timokha, A. N. 2011. Effect of central slotted screen with a high solidity ratio on the secondary resonance phenomenon for liquid sloshing in a rectangular tank. Physics of Fluids, Vol. 23, Issue. 6, p. 062106.
    HERMANN, MARTIN and TIMOKHA, ALEXANDER 2008. MODAL MODELLING OF THE NONLINEAR RESONANT FLUID SLOSHING IN A RECTANGULAR TANK II: SECONDARY RESONANCE. Mathematical Models and Methods in Applied Sciences, Vol. 18, Issue. 11, p. 1845.
    Gavrilyuk, I. Lukovsky, I. Trotsenko, Yu. and Timokha, A. 2007. Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 2. Nonlinear resonant waves. Journal of Engineering Mathematics, Vol. 57, Issue. 1, p. 57.
    Limarchenko, O. S. 2007. Specific features of application of perturbation techniques in problems of nonlinear oscillations of a liquid with free surface in cavities of noncylindrical shape. Ukrainian Mathematical Journal, Vol. 59, Issue. 1, p. 45.
    Shankar, P. N. and Kidambi, R. 2005. The contact angle in inviscid fluid mechanics. Proceedings Mathematical Sciences, Vol. 115, Issue. 2, p. 227.
    HERMANN, MARTIN and TIMOKHA, ALEXANDER 2005. MODAL MODELLING OF THE NONLINEAR RESONANT FLUID SLOSHING IN A RECTANGULAR TANK I: A SINGLE-DOMINANT MODEL. Mathematical Models and Methods in Applied Sciences, Vol. 15, Issue. 09, p. 1431.
    Faltinsen, O.M. Rognebakke, O.F. and Timokha, A.N. 2005. Classification of three-dimensional nonlinear sloshing in a square-base tank with finite depth. Journal of Fluids and Structures, Vol. 20, Issue. 1, p. 81.
    Shankar, P N and Kidambi, R 2002. A modal method for finite amplitude, nonlinear sloshing. Pramana, Vol. 59, Issue. 4, p. 631.
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Large-amplitude motions of a liquid—vapour interface in an accelerating container

  • L. M. Perko (a1)
Abstract

This paper considers the large-amplitude symmetric and asymmetric irrota-tional motion of an inviscid incompressible fluid with a liquid—vapour interface in an accelerating container of revolution. A combined analytical—numerical method which involves no linearizations in the hydrodynamical equations and applies to all but surface-tension dominated motions is used to compute a variety of such motions. One important aspect of this non-linear method is that it accurately determines the initial development of surface instabilities such as breakers near the wall of the container.

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© 1969 Cambridge University Press
References
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Concus, P., Crane, G. E. & Perko, L. M. 1965 Inviscid fluid flow in an accelerating axisymmetric container. Fluid Mech., and Heat Transfer Under Low-G Symp. Proc., Palo Alto, California.
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Satterlee, H. M., Hollister, M. P., Perko, L. M. et al. 1967 A study of liquid propellant behaviour during periods of varying acceleration. NASA MSFC Contract NAS-9-5174, LMSC Report A 874728.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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