Basic Equations of Vortex Fluid Motion. Vortex-Wave Resonance
The paper addresses general problems of the theory treating vortex motion of fluid. Integral transformations are suggested reducing the set of differential equations of viscous incompressible fluid motion to the equivalent set of integral boundary equations.
Four series of integral invariants of vortex fluid motion are derived.
A classification for vortex and wave fluid motion is suggested.
The paper also describes the vortex-wave resonance arising when lifting bodies move in nonhomogeneous fluid, which has been observed and investigated under the guidance of the author.
Examples of new vortex-wave structures are given resulting from the resonance interaction of the lifting body and dispersive waves induced by the body motion.
KeywordsFroude Number Fluid Motion Integral Boundary Equation Dispersive Wave Integral Transformation
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