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

0386690 - ÚT 2013 RIV CN eng C - Conference Paper (international conference)
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]
R&D Projects: GA ČR GAP101/10/1428; GA ČR GAP201/10/0357; GA ČR GA106/09/1573
Institutional support: RVO:61388998
Keywords : variational principle * continuum mechanics * flow stability
Subject RIV: BK - Fluid Dynamics

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.
Permanent Link: http://hdl.handle.net/11104/0216459