The Cahn-Hilliard-Navier-Stokes Framework for Multiphase Fluid Flows: Laminar, Turbulent, and Active
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917955816652800 |
|---|---|
| author | Padhan, Nadia Bihari Pandit, Rahul |
| author_facet | Padhan, Nadia Bihari Pandit, Rahul |
| contents | The Cahn-Hilliard-Navier-Stokes (CHNS) partial differential equations (PDEs) provide a powerful framework for the study of the statistical mechanics and fluid dynamics of multiphase fluids. We provide an introduction to the equilibrium and nonequilibrium statistical mechanics of systems in which coexisting phases, distinguished from each other by scalar order parameters, are separated by an interface. We then introduce the coupled Cahn-Hilliard-Navier-Stokes (CHNS) PDEs for two immiscible fluids and generalisations for (a) coexisting phases with different viscosities, (b) CHNS with gravity, (c) the three-component fluids (CHNS3), and (d) the CHNS for active fluids. We discuss mathematical issues of the regularity of solutions of the CHNS PDEs. Finally we provide a survey of the rich variety of results that have been obtained by numerical studies of CHNS-type PDEs for diverse systems, including bubbles in turbulent flows, antibubbles, droplet and liquid-lens mergers, turbulence in the active-CHNS model, and its generalisation that can lead to a self-propelled droplet. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10293 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Cahn-Hilliard-Navier-Stokes Framework for Multiphase Fluid Flows: Laminar, Turbulent, and Active Padhan, Nadia Bihari Pandit, Rahul Fluid Dynamics Soft Condensed Matter Chaotic Dynamics Computational Physics The Cahn-Hilliard-Navier-Stokes (CHNS) partial differential equations (PDEs) provide a powerful framework for the study of the statistical mechanics and fluid dynamics of multiphase fluids. We provide an introduction to the equilibrium and nonequilibrium statistical mechanics of systems in which coexisting phases, distinguished from each other by scalar order parameters, are separated by an interface. We then introduce the coupled Cahn-Hilliard-Navier-Stokes (CHNS) PDEs for two immiscible fluids and generalisations for (a) coexisting phases with different viscosities, (b) CHNS with gravity, (c) the three-component fluids (CHNS3), and (d) the CHNS for active fluids. We discuss mathematical issues of the regularity of solutions of the CHNS PDEs. Finally we provide a survey of the rich variety of results that have been obtained by numerical studies of CHNS-type PDEs for diverse systems, including bubbles in turbulent flows, antibubbles, droplet and liquid-lens mergers, turbulence in the active-CHNS model, and its generalisation that can lead to a self-propelled droplet. |
| title | The Cahn-Hilliard-Navier-Stokes Framework for Multiphase Fluid Flows: Laminar, Turbulent, and Active |
| topic | Fluid Dynamics Soft Condensed Matter Chaotic Dynamics Computational Physics |
| url | https://arxiv.org/abs/2503.10293 |