Constitutive Modelling of Korteweg Fluids Using Liu's Method
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911633263034368 |
|---|---|
| author | Matić, Zagorka Simić, Srboljub Ván, Peter |
| author_facet | Matić, Zagorka Simić, Srboljub Ván, Peter |
| contents | The paper studies constitutive modelling of Korteweg fluids. Thermodynamic consistency, i.e. compatibility with entropy balance law, is achieved using Liu's method of multipliers. Appropriate constitutive assumptions facilitated inclusion of the capillary effects in the specific entropy. Korteweg stresses are derived from the equilibrium conditions -- vanishing of the entropy production and its minimization in equilibrium. Material parameter in Korteweg stresses is allowed to depend on temperature, which turns out to be consistent with kinetic-theory results and leads to cross-coupling of mechanical and thermal effects. The generalized Gibbs' relation, which inherits the capillary effects, is derived as consequence, which is a peculiar feature of the Liu's method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26846 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Constitutive Modelling of Korteweg Fluids Using Liu's Method Matić, Zagorka Simić, Srboljub Ván, Peter Fluid Dynamics Statistical Mechanics Mathematical Physics The paper studies constitutive modelling of Korteweg fluids. Thermodynamic consistency, i.e. compatibility with entropy balance law, is achieved using Liu's method of multipliers. Appropriate constitutive assumptions facilitated inclusion of the capillary effects in the specific entropy. Korteweg stresses are derived from the equilibrium conditions -- vanishing of the entropy production and its minimization in equilibrium. Material parameter in Korteweg stresses is allowed to depend on temperature, which turns out to be consistent with kinetic-theory results and leads to cross-coupling of mechanical and thermal effects. The generalized Gibbs' relation, which inherits the capillary effects, is derived as consequence, which is a peculiar feature of the Liu's method. |
| title | Constitutive Modelling of Korteweg Fluids Using Liu's Method |
| topic | Fluid Dynamics Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2604.26846 |