Two-layer fluid flows on inclined surfaces

Simulating Flows Over Wavy Inclined Surfaces

Comparison of the hyperbolic range of two-fluid models on two-phase gas -liquid flows

In this paper, a numerical study is conducted in order to compare hyperbolic range of equations of isotherm two-fluid model governing on two-phase flow inside of pipe using conservative Shock capturing method. Differential equations of the two-fluid model are presented in two forms (i.e. form I and form II). In forms I and II, pressure correction terms are hydrodynamic and hydrostatic, respecti...

Equilibrium of drops on inclined hydrophilic surfaces.

Why does not gravity make drops slip down the inclined surfaces, e.g., plant leaves? The current explanation is based on the existence of surface inhomogeneities, which cause a sustaining force that pins the contact line. Following this theory, the drop remains in equilibrium until a critical value of the sustaining force is reached. We propose an alternative analysis, from the point of view of...

Averaging of incompressible flows on two-dimensional surfaces

We consider a process on a compact two-dimensional surface which consists of the fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise to a process on the graph naturally associated to the structure of the stream lines of the unperturbed flow. It has been shown by Freidlin and Wentzell that if the unperturbed motion is periodic for...

Nonlinear Stability of Two – Layer Flows ∗

We study the dynamics of two–layer, stratified shallow water flows. This is a model in which two scenarios for eventual mixing of stratified flows (shear-instability and internal breaking waves) are, in principle, possible. We find that unforced flows cannot reach the threshold of shearinstability, at least without breaking first. This is a fully nonlinear stability result for a model of strati...