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Nonsmall liquid oscillations in moving vessels

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Abstract

The system of approximate nonlinear equations describing liquid oscillations in axisymmetric vessels is constructed. The equations are obtained for the case in which two coordinates belonging to the family of generalized coordinates characterizing the liquid motion are not small. This family is selected so that from the resulting nonlinear equations we can obtain as a particular case the nonlinear equations of [1–3], which are valid for the class of cylindrical vessels, and the requirements are satisfied that the resulting nonlinear equations correspond to the widely adopted linearized equations of liquid oscillations [4–6], Nonlinear equations are obtained which describe liquid oscillations in arbitrary vessels of rotation with radial baffles.

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References

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  3. V. I. Stolbetsov, “The equations of nonlinear oscillations of a vessel partially filled with a liquid”, Izv. AN SSSR, MZhG [Fluid Dynamics], vol. 3, no. 2, 1969.

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  9. V. I. Stolbetsov and V. M. Fishkis, “A mechanical model of a liquid performing nonsmall oscillations in a spherical vessel”, Izv. AN SSSR, MZhG [Fluid Dynamics], vol. 3, no. 5, 1968.

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Authors and Affiliations

  1. Moscow

    I. G. Gataullin & V. I. Stolbetsov

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  1. I. G. Gataullin
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  2. V. I. Stolbetsov
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Gataullin, I.G., Stolbetsov, V.I. Nonsmall liquid oscillations in moving vessels. Fluid Dyn 4, 74–81 (1969). https://doi.org/10.1007/BF01032479

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  • DOI: https://doi.org/10.1007/BF01032479

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