Jul 25, 2006 · The above equations model a Marangoni driven thin film laden with a soluble surfactant, in which the bulk surfactant concentration has been ...
The above equations model a Marangoni driven thin film laden with a soluble surfactant, in which the bulk surfactant concentration has been vertically averaged.
The above equations model a Marangoni driven thin film laden with a soluble surfactant, in which the bulk surfactant concentration has been vertically ...
We consider a fully practical finite element approximation of the following system of nonlinear degenerate parabolic equations: Missing \end{alignat} ...
GROTBERG, Insoluble surfactant spreading on a thin viscous film: Shock evolution and film rupture, J. Fluid Mech., 240 (1992), pp. 259-288. [25] P. L. LIONS ...
Missing: Soluble | Show results with:Soluble
The above equations model a Marangoni driven thin film laden with a soluble surfactant, in which the bulk surfactant concentration has been vertically averaged.
We consider a fully practical finite element approximation of the following system of nonlinear degenerate parabolic equations: ∂u. ∂t + 1. 2 ∇.(u2 ∇[σ(v)]) ...
Missing: Soluble | Show results with:Soluble
This work considers a fully practical finite element approximation of the following system of nonlinear degenerate parabolic equations, which models a ...
The above models a surfactant-driven thin film flow in the presence of both attractive, a > 0, and repulsive, δ > 0 with ν > 3, van der Waals forces, ...
Missing: Soluble | Show results with:Soluble
Finite Element Approximation of Soluble Surfactant Spreading on a Thin Film. Authors: John W. Barrett. John W. Barrett. View Profile. , Robert Nürnberg. Robert ...