We consider the problem and normal oscillations (eigenoscillations) of system three connected (coupled to each other) pendulums with cavities filled one or several immiscible homogeneous fluids. study case partially dissipative where cavity first pendulum is completely two ideal fluids, second viscous third fluid. use methods functional analysis. prove theorem on correct solvability initial-bou...

Immiscible flows arise in many diverse applications mechanical, chemical, and environmental engineering. Such involve interfacial conditions often feature mass (species) diffusion. Motivated by non-Newtonian duct processing, the present article a comprehensive mathematical model computational simulation with modified cubic B-spline-Differential Quadrature method (MCB-DQM) is described for unste...

We analyse the stability of interface between two immiscible fluids both flowing in horizontal direction a thin cell with vertically varying gap width. The dispersion relation for growth rate each mode is derived. approximately determined by sign simple expression, which incorporates density difference and effect surface tension along- cross-cell directions. latter arises from channel width: if...

The wetting effect has attracted great scientific interest because of its natural significance as well technical applications. Previous models mostly focus on one-component fluids or binary immiscible liquid mixtures. Modelling the phenomenon for multicomponent and multiphase is a knotty issue. In this work, we present thermodynamically consistent diffuse interface model to describe ternary flu...

We discretize in space the equations obtained at each time step when discretizing in time a Navier-Stokes system modelling the two-dimensional flow in a horizontal pipe of two immiscible fluids with comparable densities, but very different viscosities. At each time step the system reduces to a generalized Stokes problem with nonstandard conditions at the boundary and at the interface between th...

With the Lattice Boltzmann method (using the BGK approximation) we investigate the dynamics of Hele-Shaw flow under conditions corresponding to various experimental systems. We discuss the onset of the instability (dispersion relation), the static properties (characterization of the interface) and the dynamic properties (growth of the mixing zone) of simulated Hele-Shaw systems. We examine the ...

We investigate a two-dimensional network simulator that model the dynamics of two-phase immiscible bulk flow where film flow can be neglected. We present a method for simulating the detailed dynamical process where the two phases are allowed to break up into bubbles and bubbles are allowed to merge together. The notions of drainage and imbibition are not adequate to describe this process since ...