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Труды Института механики им. Р.Р. Мавлютова
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Proceedings of the Mavlyutov Institute of Mechanics


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Nasibullayev I.Sh., Nasibullaeva E.Sh. Axisymmetric flow near the critical point on the moving boundary Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 7 (2010). 182–190.
2010. Vol. 7. Issue 1, Pp. 182–190
URL: http://proc.uimech.org/uim2010.1.016,en
DOI: 10.21662/uim2010.1.016
Axisymmetric flow near the critical point on the moving boundary
Nasibullayev I.Sh., Nasibullaeva E.Sh.∗∗
Ufa State Aviation Technical University, Ufa
∗∗Institute of Mechanics, Ufa

Abstract

In this paper the investigation of the axisymmetric flow of a liquid with a boundary perpendicular to the flow is considered. Analytical equations are derived for the radial and axial velocity and pressure components of fluid flow in a pipe of finite length with a movable right boundary, and boundary conditions on the moving boundary are also defined. A numerical solution of the problem on a finite-difference grid by the iterative Newton-Raphson method for various velocities of the boundary motion is obtained.