Highlights • GENERIC description of homogeneous mixtures that flow with multiple independent velocities, several temperatures, and electromagnetic field The is reduced to the case only one momentum (classical irreversible thermodynamics), generalizing Maxwell-Stefan diffusion equations generalised are mechanical equilibrium (no momentum) thus a non-isothermal variant dusty gas model derived tem...

Numerical simulation of gas flow in porous media is becoming increasingly attractive due to its importance shale and natural production carbon dioxide sequestration. In this paper, taking molar densities as the primary unknowns rather than pressure fractions, we propose an alternative formulation multicomponent Maxwell–Stefan (MS) model with rock compressibility. Benefiting from definitions sol...

Josef Stefan was a professor of physics at the University of Vienna between 1863 and 1893. During his time in Vienna he was a fruitful researcher in many scientific fields, but he is best known for his work in heat transfer. He was a gifted experimentalist and theoretician who made contributions to conduction, convection and radiation heat transfer. Stefan was the first to accurately measure th...

We present a method to embed local electroneutrality within Onsager–Stefan–Maxwell electrolytic-transport models, circumventing their formulation as differential systems with an algebraic constraint. Flux-explicit transport laws are developed for general multicomponent electrolytes, in which the ionic conductivity, component diffusivities, and transference numbers relate Stefan–Maxwell coeffici...

In this work, we are interested in two different diffusion models for multicomponent mixtures. We numerically recover experimental results underlining the inadequacy of the usual Fick diffusion model, and the importance of using the Maxwell-Stefan model in various situations. This model nonlinearly couples the mole fractions and the fluxes of each component of the mixture. We then consider a su...

<p style='text-indent:20px;'>Recently, the authors proved [<xref ref-type="bibr" rid="b2">2</xref>] that Maxwell-Stefan system with an incompressibility-like condition on total flux can be rigorously derived from multi-species Boltzmann equation. Similar cross-diffusion models have been widely investigated, but particular case of a perturbative incompressible setting around no...

The global-in-time existence of bounded weak solutions to the Maxwell–Stefan–Fourier equations in Fick–Onsager form is proved. model consists mass balance for partial densities and energy equation total energy. diffusion heat fluxes depend linearly on gradients thermo-chemical potentials gradient temperature include Soret Dufour effects. cross-diffusion system exhibits an entropy structure, whi...