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Zbl 1107.76012
Gavrilyuk, I.; Lukovsky, I.; Trotsenko, Yu.; Timokha, A.
Sloshing in a vertical circular cylindrical tank with an annular baffle. II: Nonlinear resonant waves. (English)
[J] J. Eng. Math. 57, No. 1, 57-78 (2007). ISSN 0022-0833; ISSN 1573-2703/e

Summary: Weakly nonlinear resonant sloshing in a circular cylindrical baffled tank with a fairly deep fluid depth (depth/radius ratio $\geq 1$) is examined by using an asymptotic modal method, which is based on Moiseev asymptotic ordering. The method generates a nonlinear asymptotic modal system coupling the time-dependent displacements of linear natural modes. Emphasis is placed on quantifying the effective frequency domains of steady-state resonant waves occurring due to lateral harmonic excitations, versus the size and the location of the baffle. The forthcoming Part 3 will focus on the vorticity stress at the sharp baffle edge and on the related generalisations of the present nonlinear modal system. [For Part I, see the authors, ibid. 54, 71--88 (2006).]

MSC 2000:: *76B10 Free-streamline theory and appl.
76B15 Wave motions (fluid mechanics)
76M45 Asymptotic methods, singular perturbations

Keywords: Moiseev asymptotic ordering; asymptotic modal method; effective frequency domains

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Zentralblatt MATH Berlin [Germany]