Sentence examples for macroscopic equations for from inspiring English sources

The approach is based on circumventing the explicit derivation of macroscopic equations for the system statistics (e.g., average coverage).

The model consists of a closed set of macroscopic equations for mass and momentum transport applicable for the dispersed and continuous phases.

In the second part, we use the first model [20] in order to determine an unknown function in the energy exchange of the macroscopic equations for gas mixtures described by Dellacherie [11].

Two-dimensional finite difference lattice Boltzmann models for single-component fluids are discussed and the corresponding macroscopic equations for mass and momentum conservation are derived by performing a Chapman Enskog expansion.

The key problem here is that it is very difficult to provide a priori known and reliable input kinetic coefficients for macroscopic equations for each carrier group at non-equilibrium conditions.

A homogenization technique is used to obtain a macroscopic equation for the case of plane wave propagation in effectively elastic media weakened by cracks.

On the other hand, we have a classic "macroscopic" equation for the medium-modified energy of interaction of the same two dipoles.

Recently the kinetic theory has proposed an alternative approach for deriving macroscopic equations from the dynamics delivered at the mesoscopic scale: the asymptotic method.

Results for the filter coefficient correction factors entered in the macroscopic equations are presented for the case of horizontal flow and are compared with results from downward filtration.

This paper deals with the Bloch equations which are a set of macroscopic equations that are used for modeling of nuclear magnetization as a function of time.

Furthermore, under the local mechanical equilibrium assumption, only one macroscopic equation arises for momentum transport, which resembles an extension of Darcy׳s law; whereas for mass transport, the equilibrium model reduces to the continuity equation.