Asymptotic behavior of flows of a low-viscosity fluid in the presence of tangential stresses on a free boundary
Abstract
For the case of vanishing viscosity, formal asymptotic expansions of a solution to the plane stationary problem with a free boundary are obtained assuming the finite character of the specified tangential surface stresses. It is shown that the tangential stresses give rise to an additional term, equivalent to the surface tension forces, in the dynamic boundary condition for the free boundary of the limiting nonviscous flow.
- Publication:
-
PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
- Pub Date:
- October 1987
- Bibcode:
- 1987PMTF.......101B
- Keywords:
-
- Asymptotic Methods;
- Free Boundaries;
- Interfacial Tension;
- Shear Flow;
- Viscous Fluids;
- Boundary Conditions;
- Boundary Value Problems;
- Computational Fluid Dynamics;
- Inviscid Flow;
- Fluid Mechanics and Heat Transfer