Numerical study of the exact solution of the Navier–Stokes equations describing free-boundary fluid flow
- Authors: Zhuravleva E.N.1
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Affiliations:
- Lavrentyev Institute of Hydrodynamics, Siberian Branch
- Issue: Vol 57, No 3 (2016)
- Pages: 396-401
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/159303
- DOI: https://doi.org/10.1134/S0021894416030020
- ID: 159303
Cite item
Abstract
This paper presents a numerical study of the partially invariant solution of the Navier–Stokes equations for the plane case which describes unsteady flow in a layer bounded by a straight solid wall and a free boundary parallel to it. It is found that for different initial flow velocities, a steady state can be established with a decrease or an increase in the initial layer thickness or the layer thickness can be increased infinitely due to fluid inflow from infinity.
About the authors
E. N. Zhuravleva
Lavrentyev Institute of Hydrodynamics, Siberian Branch
Author for correspondence.
Email: zhuravleva_e@mail.ru
Russian Federation, Novosibirsk, 630090