Solitary waves on a free surface of a heated Maxwell fluid
Nenhuma Miniatura disponível
Data
2009-01-08
Autores
Comissiong, D.
Kraenkel, Roberto André [UNESP]
Manna, M. A.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Royal Soc
Resumo
The existence of an oscillatory instability in the Benard Marangoni phenomenon for a viscoelastic Maxwell's fluid is explored. We consider a fluid that is bounded above by a free deformable surface and below by an impermeable bottom. The fluid is subject to a temperature gradient, inducing instabilities. We show that due to balance between viscous dissipation and energy injection from thermal gradients, a long-wave oscillatory instability develops. In the weak nonlinear regime, it is governed by the Korteweg-de Vries equation. Stable nonlinear structures such as solitons are thus predicted. The specific influence of viscoelasticity on the dynamics is discussed and shown to affect the amplitude of the soliton, pointing out the possible existence of depression waves in this case. Experimental feasibility is examined leading to the conclusion that for realistic fluids, depression waves should be more easily seen in the Benard Marangoni system.
Descrição
Palavras-chave
nonlinear waves, viscoelastic fluids, free surface
Como citar
Proceedings of The Royal Society A-mathematical Physical and Engineering Sciences. London: Royal Soc, v. 465, n. 2101, p. 109-121, 2009.