Mass diffusion in multicomponent gas mixtures is governed by a coupled system of linear equations for the diffusive mass ̄uxes in terms of thermodynamic driving forces, known as the generalized Stefan±Maxwell equation. In computations of mass diffusion in multicomponent gas mixtures, this coupling between the different components results in considerable computational overhead. Consequently, sim...

2 Macroscopic modeling 5 2.1 Concentration measures, mixture velocity and diffusion fluxes . . . . . . . . 5 2.2 Species transport equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Fick model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Limits of Fick model: osmotic diffusion, reverse diffusion and diffusion barrier 8 2.5 Maxwell-Stefan mo...

Selfand binary Maxwell-Stefan diffusion coefficients were determined by equilibrium molecular dynamics simulations with the Green-Kubo method. This study covers selfdiffusion coefficients at liquid states for eight pure fluids, i.e. F2, N2, CO2, CS2, C2H6, C2H4, C2H2 and SF6 as well as Maxwell-Stefan diffusion coefficients for three binary mixtures N2+CO2, N2+C2H6 and CO2+C2H6. The fluids were ...

A mathematical model considering mass and momentum transfer was developed for simulation of ethanol dewatering via pervaporation process. The process involves removal of water from a water/ethanol liquid mixture using a dense polymeric membrane. The model domain was divided into two compartments including feed and membrane. For a description of water transport in ...

A polymer distribution is usually represented by its moments. Thus, to calculate transport in a system, formulation for the of moments needed. This only possible if close or there suitable closing condition. To archive this, two simplifications Stefan–Maxwell diffusion are derived, which convert equation polymeric species closed set equations The first approach corresponds an infinitely diluted...

We consider the non-reactive elastic Boltzmann equation for multicomponent gaseous mixtures. We deduce, under the standard diffusive scaling, that well prepared initial conditions lead to solutions satisfying the Maxwell-Stefan diffusion equations in the vanishing Mach and Knudsen numbers limit.

This paper presents an extended multicomponent lattice Boltzmann model for the simulation of electrolytes. It is derived by means of a finite discrete velocity model and its discretization. The model recovers momentum and mass transport according to the incompressible Navier-Stokes equation and Maxwell-Stefan formulation, respectively. It includes external driving forces (e.g., electric field) ...

it seems using the maxwell-stefan (m-s) diffusion model in combination with the vacancy solutiontheory (vst) and the single-component adsorption data provides a superior, qualitative, andquantitative prediction of diffusion in zeolites. in the m-s formulation, thermodynamic factor (г) isan essential parameter which must be estimated by an adsorption isotherm. researchers usually utilizethe simp...

Abstract. A mathematical model is proposed where the classical Maxwell-Stefan diffusion model for gas mixtures is coupled to an advection-type equation for the temperature of the physical system. This coupled system is derived from first principles in the sense that the starting point of our analysis is a system of Boltzmann equations for gaseous mixtures. We perform an asymptotic analysis on t...

Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities 40/2012 S. Simonov, H. Woracek Spectral multiplicity of selfadjoint Schrödinger operators on star-graphs with standard interface conditions 39/2012 Combining micromagnetism and magnetostatic Maxwell equations for multiscale magnetic simulations 36/2012 M. Bukal, E. Emmrich, and A. Jüngel Entropy-stable and ...