INFLUENCE OF THE VISCOUS FILLING ON A MOTION OF THE PRECESSING VESSEL

Authors

  • Ivano-Frankivsk National Technical University of Oil and Gas
  • Taras Shevchenko National University of Kyiv

Keywords:

viscous incompressible fluid, regular precession

Abstract

The problem for determining the steady relative motion of a viscous incompressible fluid entirely filling a long cylindrical vessel executing regular precession with a small angle of nutation and / or with a small ratio of the angular precession velocity to the angular velocity of spin about the cavity axis is considered. Higher approximations of the expansion in a small parameter of the solution of the nonlinear Navier-Stokes equations and of the projection on the axis of the cylinder of the moment of the forces exerted by fluid on the lateral surface of the vessel are obtained.

References

Miller M.C. Flight instabilities of spinning projectile having nonrigid payloads / M.C. Miller // Journal of Guidance Control and Dynamics. – 1982. – V.5, No 2. – P. 151-157.

Herbert T. Viscous fluid motion in a spinning and nutating cylinder / T. Herbert // Journal of Fluid Mechanics. – 1986. – V. 167. – P. 181-198.

A rotating fluid cylinder subject to weak precession / P. Meunier, C. Eloy, R. Lagrange, F. Nadal // Journal of Fluid Mechanics. – 2008. – V. 599. – P. 405-440.

Казмерчук И.M. Движение вязкой несжимаемой жидкости в прецессирующем цилиндре / И.М. Казмерчук // Вестник МГУ. Математика. Механика, 1992. – No2. – С. 93-96.

Янке Е.Специальные функции. Формулы, графики, таблицы / Е. Янке, Ф. Эмде, Ф. Леш. – М.:Наука, 1977. – 342 с.

Published

2019-02-10

How to Cite

Інеса Михайлівна, & Юлія Анатоліївна. (2019). INFLUENCE OF THE VISCOUS FILLING ON A MOTION OF THE PRECESSING VESSEL: Array. PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY Number, (1(45), 90–99. Retrieved from https://pvntsh.nung.edu.ua/index.php/number/article/view/16

Issue

Section

Mathematics and Mechanics