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Uppsats

Thermodynamics of electrorheological fluids

Kandidat-uppsats

Jernberg, Erik

Karlstads universitet/Avdelningen för matematik

Publicerad: 2026

Språk: Engelska

Nyckelord

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⌕stress⌕Electrorheological fluids⌕Continuum mechanics⌕Characteristic scales⌕Separation of scales⌕Effective properties⌕Reference volume element⌕Electrostatics⌕Maxwell’s equations⌕Maxwell–Wagner interfacial polarization⌕Linear dielectric⌕Maxwell–Minkowski stress⌕Clausius–Duhem dissipation inequality⌕Free energy⌕Coleman–Noll procedure⌕Constitutive relations⌕Virtual power principle⌕Balance of linear momentum⌕Tensor contraction⌕Tensor projection⌕Symmetric⌕Alternating⌕Levi–Civita tensor⌕Isotropic⌕Deviatoric⌕Velocity gradient⌕Strain rate⌕Vorticity⌕deformation⌕Dilation⌕Hydrostatic pressure⌕Deviatoric stress⌕Bingham plastic model⌕Yield stress

Sammanfattning

The goal of this thesis is to derive equations of motion – a system of PDEs and boundary conditions – for an electrorheological fluid in electrostatics. In addition, we are going to consider thermal effects and the role of virtual power. The modeling approach will follow the classic thermodynamic procedure introduced by Bernard Coleman and Walter Noll.

Information

Författare
Jernberg, Erik
Lärosäte / institution
Karlstads universitet/Avdelningen för matematik
Publiceringsdatum
2026
Uppsatstyp
Kandidat-uppsats
Språk
Engelska
Nyckelord
⌕stress⌕Electrorheological fluids⌕Continuum mechanics⌕Characteristic scales⌕Separation of scales⌕Effective properties⌕Reference volume element⌕Electrostatics⌕Maxwell’s equations⌕Maxwell–Wagner interfacial polarization⌕Linear dielectric⌕Maxwell–Minkowski stress⌕Clausius–Duhem dissipation inequality⌕Free energy⌕Coleman–Noll procedure⌕Constitutive relations⌕Virtual power principle⌕Balance of linear momentum⌕Tensor contraction⌕Tensor projection⌕Symmetric⌕Alternating⌕Levi–Civita tensor⌕Isotropic⌕Deviatoric⌕Velocity gradient⌕Strain rate⌕Vorticity⌕deformation⌕Dilation⌕Hydrostatic pressure⌕Deviatoric stress⌕Bingham plastic model⌕Yield stress

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