A Chebyshev-Galerkin method for fourth order problems6 years agoAbstractWe study the linear stability of some Marangoni flows (thin films) on an inclined plane. The Orr-Sommerfeld eigenproblem contains two…
Marangoni flow -induced by temperature gradients- against gravity forces6 years agoAbstractIn the present work a comparison in made between the authors’ experimental and numerically calculated data obtained in studying the…
Some remarks concerning the Marangoni flow on an inclined plane6 years agoAbstractWe consider a thin liquid layer of a transverse triangular section, situated on an inclined solid plane. On the liquid-gas…
On the behavior of a thin liquid layer flowing due to gravity and a surface tension gradient6 years agoAbstractA thin liquid layer flowing due to gravity and a surface tension gradient is taken into account. On the liquid/gas…
On the bifurcation of the null solutions of some mildly nonlinear elliptic boundary value problems6 years agoAbstract Existence and aymptotic expansion of some bifurcated solution for the following boundary value problem: \begin{align*} -\Delta u+cu^{2}-B^{2}u & =0,\ \…
On the Marangoni and gravity flow in an inclined channel of an arbitrary section6 years agoAbstractIn this paper we use a lubrication approximation in order to investigate the flow of a thin layer of a…
On the Marangoni flow on an inclined plane6 years agoAbstractWe consider the flow of a uniform thin layer (rivulet, trickle) of viscous fluid down an inclined plane driven simultaneously…
FEM and/or BEM for numerical simulation of Marangoni flow6 years agoAbstractThe aim of this work is the numerical study of Marangoni effect using three different methods. They are a finite…
The numerical approximation to positive solution for some reaction-diffusion problems6 years agoAbstract A one-dimensional reaction-diffusion problem, with the reaction term of the form \(u^{p}\), \(p>1\) is considered. For \(p=3\), we deduce…
Surface mobility of surfactant solutions XVI. Involvement of the fluid viscosities in the Marangoni flow – some aspects6 years agoAbstractThe influence of viscosity upon the Marangoni flow (induced by surface tension differences) in competition with the gravity flow, through…