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TsAGI Science Journal

ISSN Imprimer: 1948-2590
ISSN En ligne: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.v40.i5.30
pages 553-560

ON THE UNSTEADY FLUID FLOWS IN DOMAINS WITH CLOSED STREAMLINES

Aleksandr Marksovich Gaifullin
Central Aerohydrodynamic Institute (TsAGI), Zhukovsky, Moscow region, Russia
Anatoliy Vasil'evich Zubtsov
Central Aerohydrodynamic Institute (TsAGI) 1, Zhukovskystr., Zhukovsky, 140180, Moscow region, Russia

RÉSUMÉ

A non-steady-state flow in an area with a closed streamline has been considered for the case when vorticity w in the main approximation depends only on the stream function ψ and time t. From the Navier-Stokes equations an integral-differential equation was obtained for the function w(ψ, t). It is shown that this equation allows solutions which are self-similar by t. Specific examples of non-steady tasks are listed. The solution of these tasks are in line with the self-similar mode if t → ∞.


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