Momentum jump condition for deformable Newtonian interfaces: Rigorous derivation
| Autor: | Suat Canberk Ozan, Hugo A. Jakobsen |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Surface (mathematics)
Physics Mathematical analysis Coordinate system General Physics and Astronomy Spherical coordinate system 02 engineering and technology Mechanics 01 natural sciences 010305 fluids & plasmas law.invention Physics::Fluid Dynamics Momentum 020303 mechanical engineering & transports 0203 mechanical engineering law 0103 physical sciences Newtonian fluid Jump Cartesian coordinate system Limit (mathematics) Mathematical Physics |
| Zdroj: | European Journal of Mechanics - B/Fluids. 84:367-445 |
| ISSN: | 0997-7546 |
| DOI: | 10.1016/j.euromechflu.2020.05.014 |
| Popis: | This paper discusses the momentum jump condition across a viscous interface, which shows Newtonian behavior, i.e., is a Boussinesq surface fluid, by reviewing and expanding the works of Edwards et al. (1991) and Slattery et al. (2007). The necessary geometrical/mathematical tools for the derivation of the jump condition, and the jump condition itself are systematically derived for different cases defined based on the functional form of the surfaces. The momentum jump condition for interfaces with various degrees of deformability are presented both for arbitrary coordinate systems and explicitly in the Cartesian, the cylindrical and the spherical coordinates. Finally, the jump condition is simplified for thin rectangular and cylindrical films, and the contribution of the surface viscosities in the thin film limit is discussed. |
| Databáze: | OpenAIRE |
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