Semi-Analytical Methods in the Problem of Deformation of a Fluid Strip Full article
| Journal |
Mathematics
ISSN: 2227-7390 |
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| Output data | Year: 2023, Number: 11, Article number : 3422, Pages count : 17 DOI: 10.3390/ math11153422 | ||
| Tags | unsteady flows with a free boundary; power series; Pade approximations | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0001 |
Abstract:
A problem from a class of unsteady plane potential flows with a free boundary is considered. The entire boundary occupied by the liquid is free, and a zero pressure is maintained. There are neither external nor capillary forces. The motion is driven by inertia. The parameters prescribed at the initial time are the velocity field and the domain occupied by the fluid. The task is to determine these parameters at subsequent time instants. The solution is sought in the form of power series, which are then summed up with the use of the Pade approximation.
Cite:
Karabut E.A.
, Zhuravleva E.N.
Semi-Analytical Methods in the Problem of Deformation of a Fluid Strip
Mathematics. 2023. N11. 3422 :1-17. DOI: 10.3390/ math11153422 РИНЦ
Semi-Analytical Methods in the Problem of Deformation of a Fluid Strip
Mathematics. 2023. N11. 3422 :1-17. DOI: 10.3390/ math11153422 РИНЦ
Dates:
| Published print: | Aug 6, 2023 |
Identifiers:
| Elibrary: | 62368024 |
Citing:
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