On the consistency of dynamic wetting boundary conditions for the Navier–Stokes–Cahn–Hilliard equations
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2026
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| _version_ | 1866901158967115776 |
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| author | Demont, Tristan Stoter, Stein Diddens, Christian van Brummelen, Harald |
| author_facet | Demont, Tristan Stoter, Stein Diddens, Christian van Brummelen, Harald |
| contents | <p>We investigate the limiting behavior of the Navier–Stokes–Cahn–Hilliard model for binary-fluid flows as the diffuse-interface thickness passes to zero, in the presence of fluid–fluid–solid contact lines. Allowing for motion of such contact lines relative to the solid substrate is required to adequately model multi-phase and multi-species fluid transport past and through solid media. Even though diffuse-interface models provide an inherent slip mechanism through the mobility-induced diffusion, this slip vanishes as the interface thickness and mobility parameter tend to zero in the so-called sharp-interface limit. The objective of this work is to present and analyze dynamic wetting and generalized Navier boundary conditions for diffuse-interface models that are consistent in the sharp-interface limit. We concentrate our analysis on the prototypical binary-fluid Couette-flow problems. To verify the consistency of the diffuse-interface model in the limit of vanishing interface thickness, we provide reference limit solutions of a corresponding sharp-interface model. For parameter values both at and away from the critical viscosity ratio, we present and compare the results of both the diffuse- and sharp-interface models. As a corollary of the close agreement between the diffuse-interface and sharp-interface results, the presented results can serve as a benchmark for future investigations.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17215523 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | On the consistency of dynamic wetting boundary conditions for the Navier–Stokes–Cahn–Hilliard equations Demont, Tristan Stoter, Stein Diddens, Christian van Brummelen, Harald diffuse-interface models Navier--Stokes--Cahn--Hilliard equations dynamic wetting Generalized Navier boundary conditions <p>We investigate the limiting behavior of the Navier–Stokes–Cahn–Hilliard model for binary-fluid flows as the diffuse-interface thickness passes to zero, in the presence of fluid–fluid–solid contact lines. Allowing for motion of such contact lines relative to the solid substrate is required to adequately model multi-phase and multi-species fluid transport past and through solid media. Even though diffuse-interface models provide an inherent slip mechanism through the mobility-induced diffusion, this slip vanishes as the interface thickness and mobility parameter tend to zero in the so-called sharp-interface limit. The objective of this work is to present and analyze dynamic wetting and generalized Navier boundary conditions for diffuse-interface models that are consistent in the sharp-interface limit. We concentrate our analysis on the prototypical binary-fluid Couette-flow problems. To verify the consistency of the diffuse-interface model in the limit of vanishing interface thickness, we provide reference limit solutions of a corresponding sharp-interface model. For parameter values both at and away from the critical viscosity ratio, we present and compare the results of both the diffuse- and sharp-interface models. As a corollary of the close agreement between the diffuse-interface and sharp-interface results, the presented results can serve as a benchmark for future investigations.</p> |
| title | On the consistency of dynamic wetting boundary conditions for the Navier–Stokes–Cahn–Hilliard equations |
| topic | diffuse-interface models Navier--Stokes--Cahn--Hilliard equations dynamic wetting Generalized Navier boundary conditions |
| url | https://doi.org/10.5281/zenodo.17215523 |