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Generalizing the Multimodal Method for the Levitating Drop Dynamics
Joint Authors
Chernova, M. O.
Timokha, Alexander
Lukovsky, I. A.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-06
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
The present paper extends the multimodal method, which is well known for liquid sloshing problems, to the free-surface problem modeling the levitating drop dynamics.
The generalized Lukovsky-Miles modal equations are derived.
Based on these equations an approximate modal theory is constructed to describe weakly-nonlinear axisymmetric drop motions.
Whereas the drop performs almost-periodic oscillations with the frequency close to the lowest natural frequency, the theory takes a finite-dimensional form.
Periodic solutions of the corresponding finite-dimensional modal system are compared with experimental and numerical results obtained by other authors.
A good agreement is shown.
American Psychological Association (APA)
Chernova, M. O.& Lukovsky, I. A.& Timokha, Alexander. 2012. Generalizing the Multimodal Method for the Levitating Drop Dynamics. ISRN Mathematical Physics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-504798
Modern Language Association (MLA)
Chernova, M. O.…[et al.]. Generalizing the Multimodal Method for the Levitating Drop Dynamics. ISRN Mathematical Physics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-504798
American Medical Association (AMA)
Chernova, M. O.& Lukovsky, I. A.& Timokha, Alexander. Generalizing the Multimodal Method for the Levitating Drop Dynamics. ISRN Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-504798
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504798