Marangoni flow -induced by temperature gradients- against gravity forces
AbstractIn the present work a comparison in made between the authors’ experimental and numerically calculated data obtained in studying the…
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On the behavior of a thin liquid layer flowing due to gravity and a surface tension gradient
AbstractA thin liquid layer flowing due to gravity and a surface tension gradient is taken into account. On the liquid/gas…
Surface mobility of surfactant solutions XVII. Determination of Marangoni rate of flow in simulated zero gravity conditions
AbstractValues of the Marangoni rates of flow experimentally determined for a thin liquid pellicle found in inclined canals have been…
On the bifurcation of the null solutions of some mildly nonlinear elliptic boundary value problems
Abstract 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 section
AbstractIn this paper we use a lubrication approximation in order to investigate the flow of a thin layer of a…
Notes on the convex functions of higher order (IX)
Abstract This is the paper where the cardinal splines are conceived for the first time for approximating functions. AuthorsTiberiu Popoviciu…
On the prolongation of convex functions of higher order
Abstract This is the paper where the B-splines on nonuniform grid are introduced and studied for the first time. The…
On the Marangoni flow on an inclined plane
AbstractWe consider the flow of a uniform thin layer (rivulet, trickle) of viscous fluid down an inclined plane driven simultaneously…
On an Aitken-Steffensen-Newton type method
Abstract We consider an Aitken-Steffensen type method in which the nodes are controlled by Newton and two-step Newton iterations. We…
FEM and/or BEM for numerical simulation of Marangoni flow
AbstractThe aim of this work is the numerical study of Marangoni effect using three different methods. They are a finite…