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Memorias de investigación
Communications at congresses:
Long wave theory for experimental devices with compressed/expanded surfactant monolayers
Year:2013
Research Areas
  • Physics chemical and mathematical,
  • Mathematics
Information
Abstract
Surfactant monolayers are of interest in a variety of phenomena, in- cluding thin film dynamics and the formation and dynamics of foams. Measurement of surface properties has received a continuous attention and requires good theoretical models to extract the relevant physico- chemical information from experimental data. A common experimental set up consists in a shallow liquid layer whose free surface is slowly com- pressed/expanded in periodic fashion by moving two slightly immersed solid barriers, which varies the free surface area and thus the surfactant concentration. The simplest theory ignores the fluid dynamics in the bulk fluid, assuming spatially uniform surfactant concentration, which requires quite small forcing frequencies and provides reversible dynamics in the compression/expansion cycles. Sometimes, it is not clear whether depar- ture from reversibility is due to non-equilibrium effects or to the ignored fluid dynamics. Here we present a long wave theory that takes the fluid dynamics and the symmetries of the problem into account. In particular, the validity of the spatially-uniform-surfactant-concentration assumption is established and a nonlinear diffusion equation is derived. This allows for calculating spatially nonuniform monolayer dynamics and uncovering the physical mechanisms involved in the surfactant behavior. Also, this analysis can be considered a good means for extracting more relevant information from each experimental run.
International
Si
Congress
The Fifth International Symposium "Instabilities and Bifurcations in Fluid Mechanics" 2013. (BIFD2013)
960
Place
Haifa, Israel.
Reviewers
Si
ISBN/ISSN
CDP08UPM
10.1088/0169-5983/46/4/041404
Start Date
08/07/2013
End Date
11/07/2013
From page
4140401
To page
4140413
Special issue: Bifurcations in fluid dynamics. Selected papers from the BIFD2013 Conference
Participants
  • Autor: Maria Jesus Higuera Torron (UPM)
  • Autor: Jose Manuel Perales Perales (UPM)
  • Autor: Jose Manuel Vega De Prada (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Ciencias y Operaciones Aeroespaciales
  • Grupo de Investigación: Dinámica y estabilidad no lineal en ingeniería aeroespacial
  • Departamento: Vehículos Aeroespaciales
  • Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica
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