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Numerical study of the exact solution of the Navier–Stokes equations describing free-boundary fluid flow

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Journal of Applied Mechanics and Technical Physics Aims and scope

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.

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Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    E. N. Zhuravleva

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  1. E. N. Zhuravleva
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Correspondence to E. N. Zhuravleva.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 3, pp. 9–15, May–June, 2016.

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Zhuravleva, E.N. Numerical study of the exact solution of the Navier–Stokes equations describing free-boundary fluid flow. J Appl Mech Tech Phy 57, 396–401 (2016). https://doi.org/10.1134/S0021894416030020

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  • DOI: https://doi.org/10.1134/S0021894416030020

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