14 citations · 19 across the 8 of their papers we have counts for
5 papers · 1 filter
On the structure of continuum thermodynamical diffusion fluxes -- A novel closure scheme and its relation to the Maxwell-Stefan and the Fick-Onsager approach
Dieter Bothe, Pierre-Etienne Druet
This paper revisits the modeling of multicomponent diffusion within the framework of thermodynamics of irreversible processes. We briefly review the two well-known main approaches,…
Numerical simulation of non-isothermal viscoelastic flows at high Weissenberg numbers using a finite volume method on general unstructured meshes
Stefanie Meburger, Matthias Niethammer, Dieter Bothe +1
In this numerical study, an original approach to simulate non-isothermal viscoelastic fluid flows at high Weissenberg numbers is presented. Stable computations over a wide range of…
Well-posedness analysis of multicomponent incompressible flow models
Dieter Bothe, Pierre-Etienne Druet
In this paper, we extend our study of mass transport in multicomponent isothermal fluids to the incompressible case. For a mixture, incompressibility is defined as the independence…
A geometry-based model for spreading drops applied to drops on a silicon wafer and a swellable polymer brush film
Mathis Fricke, Beatrice Fickel, Maximilian Hartmann +3
We investigate the dynamics of spreading in a regime where the shape of the drop is close to a spherical cap. The latter simplification is applicable in the late (viscous) stage of…
Mass transport in multicomponent compressible fluids: Local and global well-posedness in classes of strong solutions for general class-one models
Dieter Bothe, Pierre-Etienne Druet
We consider a system of partial differential equations describing mass transport in a multicomponent isothermal compressible fluid. The diffusion fluxes obey the Fick-Onsager or Ma…