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

Authors

  • Denis Tikhomirov Pskov State University (RU)
  • Ilya Strochkov Pskov State University (RU)

DOI:

https://doi.org/10.17770/het2017.21.3563

Keywords:

Navier-Stokes equations, incompressible viscous fluid

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.

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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.

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Published

2017-04-19

Issue

No. 21 (2017): Human. Environment. Technology

Section

Information technology, mechatronics, electronics

How to Cite

[1]
D. Tikhomirov and I. Strochkov, “FLOW OF INCOMPRESSIBLE VISCOUS FLUID CAUSED BY THE MOTION OF INFINITE CONE OF ROTATION ALONG THE AXIS OF SYMMETRY”, HET, no. 21, pp. 210–213, Apr. 2017, doi: 10.17770/het2017.21.3563.