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…
Numerical Analysis
Effects of surfactants on an undeformable drop initially at rest
AbstractWe study the effect of some gradients of surface tension acting on the surface of a liquid drop supposed undeformable…
A modified Chebyshev-tau method for a hydrodynamic stability problem
AbstractWe study the linear stability of some Marangoni flows (thin films) on an inclined plane. The Orr-Sommerfeld eigenproblem contains two…
The numerical approximation to positive solution for some reaction-diffusion problems
Abstract A one-dimensional reaction-diffusion problem, with the reaction term of the form \(u^{p}\), \(p>1\) is considered. For \(p=3\), we deduce…
Electrical Conductivity of Vitreous 75%V2O5−25%(As2O3·B2O3)
AbstractIn this note we present a study of semiconducting properties of vitreous 75%V2O5-25% which contains two glass former oxides namely…
An integral formulation for some slow viscous flows with free surfaces
AbstractFor some viscous incompressible flows at low Reynolds numbers we deduce a system of nonlinear integral equations for stream function…
Surface mobility of surfactant solutions XVI. Involvement of the fluid viscosities in the Marangoni flow – some aspects
AbstractThe influence of viscosity upon the Marangoni flow (induced by surface tension differences) in competition with the gravity flow, through…
Numerical methods in establishment of concentration profile for the flows with chemical reactions over rotating disk
AbstractA viscous flow due to a rotating disk involving homogeneous as well as heterogeneous chemical reactions is considered. We simplify…
Numerical methods for the flows with chemical reactions over a rotating disk
AbstractA shooting method with variable step size is used in order to determine the concentration profile in a boundary layer…
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 are taken into account. On the liquid/gas…