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International Journal of Fluid Mechanics Research

年間 6 号発行

ISSN 印刷: 2152-5102

ISSN オンライン: 2152-5110

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 1.1 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.3 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.0002 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.33 SJR: 0.256 SNIP: 0.49 CiteScore™:: 2.4 H-Index: 23

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Modal Modeling of Nonlinear Fluid Sloshing in Tanks with Non-Vertical Walls. Non-Conformal Mapping Technique

巻 29, 発行 2, 2002, 27 pages
DOI: 10.1615/InterJFluidMechRes.v29.i2.70
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要約

Nonlinear sloshing of an incompressible fluid with irrotational flow is analyzed. The fluid partly occupies a smooth tank with walls having lion-cylindrical shape. No overturning, breaking and shallow water; waves are assumed. Non-conformal mapping technique by Lukovsky (1975) is developed further. It assumes that tank's cavity can be transformed into an artificial cylindrical domain, where equation of free surface allows both normal form and modal representation of instantaneous surface shape. Admissible tensor transformations have due singularities in mapping the lower (upper) corners of the tank into artificial bottom (roof). It leads to degenerating spectral boundary problems on natural modes. The paper delivers the mathematical background for these aspectral problems and establishes the spectral and variational theorems. Natural modes in circular conical cavity are calculated by variational algorithm based on these theorems. It is Shown that the algorithm is robust and numerically efficient for calculating both lower and higher natural modes. Finally, the paper shows that the well-known infinite-dimensional modal systems by Lukovsky (derived for sloshing in cylindrical tank) keep invariant structure with respect to admissible tensor transformations (for translatory motions of the vehicle). This makes it possible to offer the simple derivation algorithm of nonlinear modal systems for the studied case. When using anzatz by Lukovsky we derive the five-dimensional modal system for nonlinear sloshing in circular conic tanks.

によって引用された
  1. Solodun A. V., Timokha A. N., The Narimanov–Moiseev Multimodal Analysis of Nonlinear Sloshing in Circular Conical Tanks, in Applied Mathematical Analysis: Theory, Methods, and Applications, 177, 2020. Crossref

  2. Gavrilyuk I., Hermann M., Lukovsky I., Solodun O., Timokha A., Natural sloshing frequencies in rigid truncated conical tanks, Engineering Computations, 25, 6, 2008. Crossref

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