An alternative model of multicomponent diffusion based on a combination of the Maxwell-Stefan theory and continuum mechanics.

Jiří Mikyška (Faculty of Nuclear Sciences and Physical Engineering, Czech Tech. University)

17-Oct-2022, 13:40-15:10 (17 months ago)

Abstract: I will present a theory of multicomponent mixtures that do not employ any splitting of component fluxes into convective and diffusive parts. Instead, momentum balance is formulated individually for each component in which both 1) viscous friction within a component, and 2) momentum exchange among different components, are taken into account. While viscous friction is described using the Newtonian stress tensor, the Maxwell-Stefan theory is used to describe the momentum exchange among different components. When the viscosity is neglected, the model of an ideal mixture of ideal gases leads to a hyperbolic system of conservation laws. For the non-ideal mixtures, we obtain the first-order system in a non-conservative form. A simplified version of the model is discretized using a combination of the finite volume method and the mixed-hybrid finite element method. Numerical examples are provided to show the typical behavior of the solution of the model equations.

MathematicsPhysics

Audience: researchers in the topic


Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor).

Organizers: Miloslav Feistauer, Petr Knobloch, Martin Kružík*, Šárka Nečasová*
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