Year: 2021
Type: preprint
Abstract: In recent literature several derivations of incompressible Navier-Stokes type equations that model the dynamics of an evolving fluidic surface have been presented. These derivations differ in the physical principles used in the modeling approach and in the coordinate systems in which the resulting equations are represented. This paper has overview character in the sense that we put five different derivations of surface Navier-Stokes equations into one framework. This then allows a systematic comparison of the resulting surface Navier-Stokes equations and shows that some, but not all, of the resulting models are the same. Furthermore, based on a natural splitting approach in tangential and normal components of the velocity we show that all five derivations that we consider yield the same tangential surface Navier-Stokes equations.
Source: arXiv (Cornell University)
Authors: Brandner, Philip, Reusken, Arnold, Schwering, Paul
Institution: RWTH Aachen University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1575401848, G97763651
OpenAlex ID: W4286892168