Variational formulation of continuum mechanics based on the lagrangian with the friction force

0386690 - ÚT 2013 RIV CN eng C - Konferenční příspěvek (zahraniční konf.)
Maršík, František - Novotný, P.
Variational formulation of continuum mechanics based on the lagrangian with the friction force.
23rd International Congress of Theoretical and Applied Mechanics. Beijing: China Science Literature Publishing House, 2012 - (Bai, Y.; Wang, J.; Fang, D.), s. 69-70. ISBN 978-988-16022-3-7.
[International Congress of Theoretical and Applied Mechanics /23./. Beijing (CN), 19.08.2012-24.08.2012]
Grant CEP: GA ČR GAP101/10/1428; GA ČR GAP201/10/0357; GA ČR GA106/09/1573
Institucionální podpora: RVO:61388998
Klíčová slova: variational principle * continuum mechanics * flow stability
Kód oboru RIV: BK - Mechanika tekutin

The direct correlation between classical mechanics of material points (Lagrange principle of classical mechanics) and classical continuum mechanics can be established when the existence of a trajectory and a friction force are added. This new approach to the fluid flow stability leads to the revision of the Rayleigh’s or Fjörtoft’s criteria and allows us to explain the discrepancy between the theory and experiments. As the example the Couette and Poisseuille flows are investigated and the discrepancies are explained.
Trvalý link: http://hdl.handle.net/11104/0216459