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Motivated by recent experiments on the electro-hydrodynamic instability of spin-cast
polymer films, we study the undulation instability of a thin viscoelastic polymer film
under in-plane stress and in the presence of either a close by contactor or an electric
field, both inducing a normal stress on the film surface. We find that the in-plane stress
affects both the typical timescale of the instability and the unstable wavelengths. The
film stability...
We present formulas for the growth rate of surface displacements in phase change
problems and flow problems in cylindrical geometries under equilibrium conditions. Our goal
is to learn when domain dynamics is important vis-a-vis surface dynamics.
The hydromagnetic stability of stratified shear flows in the presence of cross flows is discussed. The magnetic field is applied in the direction of the main flow. Some necessary conditions of instability, the growth rate of unstable modes and reduction of the unstable region are discussed.
In an earlier paper [5] a method for eigenvalue inclussion using a Gerschgorin type theory originating from Donnelly [2] was applied to the plane Orr-Sommerfeld problem in the case of a pure Poiseuile flow. In this paper the same method will be used to deal Poiseuile and Couette flow. Potter [6] has treated this case before with an approximative method.
Propagation of polymerization fronts with liquid monomer and liquid polymer is considered
and the influence of vibrations on critical conditions of convective instability is
studied. The model includes the heat equation, the equation for the concentration and the
Navier-Stokes equations considered under the Boussinesq approximation. Linear stability
analysis of the problem is fulfilled, and the convective instability boundary is found
depending on...
The aim of this paper is to study the effect of vibrations on convective instability of
reaction fronts in porous media. The model contains reaction-diffusion equations coupled
with the Darcy equation. Linear stability analysis is carried out and the convective
instability boundary is found. The results are compared with direct numerical
simulations.
Composition gradients in miscible liquids can create volume forces resulting in various
interfacial phenomena. Experimental observations of these phenomena are related to some difficulties
because they are transient, sufficiently weak and can be hidden by gravity driven flows.
As a consequence, the question about their existence and about adequate mathematical models is
not yet completely elucidated. In this work we present some experimental evidences of interfacial
phenomena in miscible liquids...
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