We consider a layer of viscous incompressible fluid on a plate which can be vibrated vertically and we derive an equation which is non local in time for the linear evolution of the deformation of the surface in contact with the atmosphere. The equation is used to study the decay of a deformation of the surface. We characterize an interesting regime of high viscosity where the equation becomes local and we use it to study Faraday's instability. A new scenario is found for low frequency of the forcing. Key words : viscous fluid, Faraday's instability, lubrication regime.Cerda Enrique, Tirapegui Enrique. On the linear evolution of the surface of a viscous incompressible fluid. In: Bulletin de la Classe des sciences, tome 7, n°7-12, 1996. pp. ...
We investigate the effect of surface waves generated by the Faraday instability on a shear-thickenin...
Many powerful techniques from Hamiltonian mechanics are available for the study of ideal hydrodynami...
We perform linear stability analysis of an interface separating two immiscible, inviscid, quiescent ...
We derive an exact equation which is nonlocal in time for the linear evolution of the surface of a ...
Linear stability of the free surface of a thin sheet of a viscous fluid on a vertically vibrated rig...
Il est connu depuis 1831 que les fluides vibrés verticalement sont sujets à l'instabilité de Faraday...
The onset of surface waves in a vibrated layer of a viscoelastic fluid is investigated theoreticall...
We present an experimental study of the Faraday instability in which we compare the behavior of a Ne...
We study the linear stability of a laterally extended flat two-layer liquid film under the influence...
We investigate the effect of surface waves generated by the Faraday instability on a shear-thickenin...
We prove that the exact non local equation derived by the present authors for the temporal linear e...
Artículo de publicación ISIWe study the patterns observed in the vicinity of a Faraday instability, ...
The onset for the formation of two-dimensional Faraday waves in a liquid with a viscous surface is n...
We investigate the onset of the Faraday instability in a vertically vibrated wormlike micelle soluti...
Parametrically excited surface waves, well known as Faraday waves, are studied when finger structure...
We investigate the effect of surface waves generated by the Faraday instability on a shear-thickenin...
Many powerful techniques from Hamiltonian mechanics are available for the study of ideal hydrodynami...
We perform linear stability analysis of an interface separating two immiscible, inviscid, quiescent ...
We derive an exact equation which is nonlocal in time for the linear evolution of the surface of a ...
Linear stability of the free surface of a thin sheet of a viscous fluid on a vertically vibrated rig...
Il est connu depuis 1831 que les fluides vibrés verticalement sont sujets à l'instabilité de Faraday...
The onset of surface waves in a vibrated layer of a viscoelastic fluid is investigated theoreticall...
We present an experimental study of the Faraday instability in which we compare the behavior of a Ne...
We study the linear stability of a laterally extended flat two-layer liquid film under the influence...
We investigate the effect of surface waves generated by the Faraday instability on a shear-thickenin...
We prove that the exact non local equation derived by the present authors for the temporal linear e...
Artículo de publicación ISIWe study the patterns observed in the vicinity of a Faraday instability, ...
The onset for the formation of two-dimensional Faraday waves in a liquid with a viscous surface is n...
We investigate the onset of the Faraday instability in a vertically vibrated wormlike micelle soluti...
Parametrically excited surface waves, well known as Faraday waves, are studied when finger structure...
We investigate the effect of surface waves generated by the Faraday instability on a shear-thickenin...
Many powerful techniques from Hamiltonian mechanics are available for the study of ideal hydrodynami...
We perform linear stability analysis of an interface separating two immiscible, inviscid, quiescent ...