Collapse of cylindrical region and conditions for existence of elliptical vortex form of cavitating vortex rope

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F07%3APU71167" target="_blank" >RIV/00216305:26210/07:PU71167 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Collapse of cylindrical region and conditions for existence of elliptical vortex form of cavitating vortex rope

Original language description

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.

Czech name

Kolaps válcové kavitujíc oblasti a podmínky pro existenci eliptického tvaru kavitujícího vírového copu

Czech description

Jsou odvozeny podmínky pro existenci eliptického tvaru kavitujícícho vírového copu s využitím Lagrangeových souřadnic. Řešení , platné pro nestlačitelnou neviskózní kapalinu, je založeno na rovnici kontinuity, Eulerově rovnici a Laplaceově rovnici pro napětí ve válcové skořepině. Dále byl vyšetřován kolaps válcové oblasti vystavené nestacionárnímu tlakovému poli. Řešení je opět provedeno Lagrangeovými souřadnicemi. Výsledek je formulován obecně pro libovolný předpis rychlostního 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

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

JE - Non-nuclear power engineering, energy consumption and utilization

OECD FORD branch

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Project

<a href="/en/project/GP101%2F06%2FP190" target="_blank" >GP101/06/P190: Shape Optimization of the Diffuser with Inlet Circumferential Velocity Component</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2007

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Scientific Bulletin of the "Politehnica" University of Timisoara

ISSN

1224-6077

e-ISSN

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Volume of the periodical

52

Issue of the periodical within the volume

6

Country of publishing house

RO - ROMANIA

Number of pages

9

Pages from-to

109-117

UT code for WoS article

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EID of the result in the Scopus database

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