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Semi-Analytical Methods in the Problem of Deformation of a Fluid Strip

Author

Listed:
  • Evgenii Karabut

    (Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, 630090 Novosibirsk, Russia
    These authors contributed equally to this work.)

  • Elena Zhuravleva

    (Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, 630090 Novosibirsk, Russia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Evgenii Karabut & Elena Zhuravleva, 2023. "Semi-Analytical Methods in the Problem of Deformation of a Fluid Strip," Mathematics, MDPI, vol. 11(15), pages 1-17, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3422-:d:1211584
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