FLOW OF INCOMPRESSIBLE VISCOUS FLUID CAUSED BY THE MOTION OF INFINITE CONE OF ROTATION ALONG THE AXIS OF SYMMETRY

Denis Tikhomirov, Ilya Strochkov

Abstract


In this paper, we solve the problem of perturbation of an incompressible viscous fluid caused by the motion of an infinite cone in the direction of the axis of symmetry. The method involves the introduction of a harmonic current function. The Navier-Stokes equations with the incompressibility equation reduces to a system of ordinary differential equations.

Keywords


Navier-Stokes equations; incompressible viscous fluid

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References


Кочин Н.Е., Кибель И.А., Розе Н.В. Теоретическая гидродинамика. Часть 2. 1963.

Тихонов А.Н., Самарский А.А. Уравнения математической физики. 1964.

E.Г. Якубовский. Исследование решения уравнения Навье – Стокса.

Solomon I. Khmelnik Navier-Stokes equations on the existence and the search method for global solutions. (in Russian) 2010.




DOI: http://dx.doi.org/10.17770/het2017.21.3563

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