On Perturbations of a Tangential Discontinuity Surface between Two Non-Uniform Flows of an Ideal Incompressible Fluid

The development of perturbations of a tangential discontinuity surface separating two stationary flows of an ideal incompressible fluid slowly varying in space is studied taking into account surface tension. Perturbations are described using complex Hamiltonian equations. The dependences of the ampl...

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Bibliographic Details
Published inJournal of applied mechanics and technical physics Vol. 60; no. 2; pp. 211 - 223
Main Authors Kulikovskii, A. G., Kulikovsky, N. A., Pashchenko, N. T.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.03.2019
Springer Nature B.V
Subjects
Applications of Mathematics
Classical and Continuum Physics
Classical Mechanics
Discontinuity
Fluid dynamics
Fluid flow
Fluid- and Aerodynamics
Incompressible flow
Incompressible fluids
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Physics
Physics and Astronomy
Surface tension
saddle-point method
dispersion equation
tangential discontinuity
Fourier integral transform
complex Hamiltonian equations
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Summary:The development of perturbations of a tangential discontinuity surface separating two stationary flows of an ideal incompressible fluid slowly varying in space is studied taking into account surface tension. Perturbations are described using complex Hamiltonian equations. The dependences of the amplitude of perturbations on the coordinate and time are obtained.
ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894419020032