A nonlinear scenario for development of vortex layer instability in gravity field

Journal Article · Thu Nov 15 04:00:00 EST 2007 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776107110192· OSTI ID:21075655

A Hamiltonian version of contour dynamics is formulated for models of constant-vorticity plane flows with interfaces. The proposed approach is used as a framework for a nonlinear scenario for instability development. Localized vortex blobs are analyzed as structural elements of a strongly perturbed wall layer of a vorticity-carrying fluid with free boundary in gravity field. Gravity and vorticity effects on the geometry and velocity of vortex structures are examined. It is shown that compactly supported nonlinear solutions (compactons) are candidates for the role of particle-like vortex structures in models of flow breakdown. An analysis of the instability mechanism demonstrates the possibility of a self-similar collapse. It is found that the vortex shape stabilizes at the final stage of the collapse, while the vortex sheet strength on its boundary increases as (t{sub 0} - t){sup -1}, where t{sub 0} is the collapse time.

• OSTI ID: 21075655
• Journal Information: Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 5 Vol. 105; ISSN JTPHES; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BREAKDOWN
FLUIDS
GEOMETRY
GRAVITATION
HAMILTONIANS
INSTABILITY
LAYERS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
VELOCITY