"Kr\u00FCger, Klaus" . "RIV/00216305:26210/07:PU71167!RIV08-GA0-26210___" . "Collapse of cylindrical region and conditions for existence of elliptical vortex form of cavitating vortex rope" . . "6" . . . "Collapse of cylindrical region and conditions for existence of elliptical vortex form of cavitating vortex rope"@en . . "109-117" . "Collapse of cylindrical region and conditions for existence of elliptical vortex form of cavitating vortex rope" . "Pochyl\u00FD, Franti\u0161ek" . . "Scientific Bulletin of the %22Politehnica%22 University of Timisoara" . "Rudolf, Pavel" . "5"^^ . . . . "414094" . "[A6E5D49ECCBC]" . "Conditions for existence of cavitating vortex rope with elliptical cross-section are derived using Lagrangian coordinates. Solution is valid for incompressible inviscid fluid and is based on continuity equation, Euler equation, Laplace equation for stress in shell and polytropic law of ideal gas. Further, collapse of cavitating cylindrical vortex rope under the impact of unsteady outside pressure field has been theoretically investigated. The solution is carried out in Lagrangian coordinates. It is assumed that the particle path is coincident with helix lying on cylindrical surface, which changes its radius according to the volumetric change. Mathematical model is formulated very generally, which enables to input different circumferential velocity profiles." . "P(GP101/06/P190)" . "1224-6077" . . "26210" . . "RO - Rumunsko" . "9"^^ . . "Collapse of cylindrical region and conditions for existence of elliptical vortex form of cavitating vortex rope"@en . . "4"^^ . "Koutn\u00EDk, Ji\u0159\u00ED" . . . "Kolaps v\u00E1lcov\u00E9 kavituj\u00EDc oblasti a podm\u00EDnky pro existenci eliptick\u00E9ho tvaru kavituj\u00EDc\u00EDho v\u00EDrov\u00E9ho copu"@cs . "52" . "Hab\u00E1n, Vladim\u00EDr" . . . . "cavitating, Rayleigh-Plesset, elliptical, vortex rope, collapse"@en . "Conditions for existence of cavitating vortex rope with elliptical cross-section are derived using Lagrangian coordinates. Solution is valid for incompressible inviscid fluid and is based on continuity equation, Euler equation, Laplace equation for stress in shell and polytropic law of ideal gas. Further, collapse of cavitating cylindrical vortex rope under the impact of unsteady outside pressure field has been theoretically investigated. The solution is carried out in Lagrangian coordinates. It is assumed that the particle path is coincident with helix lying on cylindrical surface, which changes its radius according to the volumetric change. Mathematical model is formulated very generally, which enables to input different circumferential velocity profiles."@en . "Kolaps v\u00E1lcov\u00E9 kavituj\u00EDc oblasti a podm\u00EDnky pro existenci eliptick\u00E9ho tvaru kavituj\u00EDc\u00EDho v\u00EDrov\u00E9ho copu"@cs . . "Jsou odvozeny podm\u00EDnky pro existenci eliptick\u00E9ho tvaru kavituj\u00EDc\u00EDcho v\u00EDrov\u00E9ho copu s vyu\u017Eit\u00EDm Lagrangeov\u00FDch sou\u0159adnic. \u0158e\u0161en\u00ED , platn\u00E9 pro nestla\u010Ditelnou nevisk\u00F3zn\u00ED kapalinu, je zalo\u017Eeno na rovnici kontinuity, Eulerov\u011B rovnici a Laplaceov\u011B rovnici pro nap\u011Bt\u00ED ve v\u00E1lcov\u00E9 sko\u0159epin\u011B. D\u00E1le byl vy\u0161et\u0159ov\u00E1n kolaps v\u00E1lcov\u00E9 oblasti vystaven\u00E9 nestacion\u00E1rn\u00EDmu tlakov\u00E9mu poli. \u0158e\u0161en\u00ED je op\u011Bt provedeno Lagrangeov\u00FDmi sou\u0159adnicemi. V\u00FDsledek je formulov\u00E1n obecn\u011B pro libovoln\u00FD p\u0159edpis rychlostn\u00EDho pole. Conditions for existence of cavitating vortex rope with elliptical cross-section are derived using Lagrangian coordinates. Solution is valid for incompressible inviscid fluid and is based on continuity equation, Euler equation, Laplace equation for stress in shell and polytropic law of ideal gas. Further, collapse of cavitating cylindrical vortex rope under the impact of unsteady outside pressure field has been theoretically investigated. The solution is carried out in Lag"@cs . "RIV/00216305:26210/07:PU71167" . . .