Google Scholar

We have 79 guests online
Ulti Clocks content

УДК 629.784: 532.53

Коvalev V., Кrishchook N.

National Technical University of Ukraine «Kyiv Polytechnic Institute», Kyiv, Ukraine ( This e-mail address is being protected from spambots. You need JavaScript enabled to view it )




Abstract.The results of the inertial axisymmetric flows simulation of incompressible viscous fluid in a cylindrical tank after a sudden
stop of its rotation are presented. There are results of numerical calculation of the Navier-Stokes equations with the appropriate
boundary and initial conditions in a wide range of angular velocities, viscosity, and criterion parameters Reynolds, Strouhal, etc.
These streamlines and pressure field can build a picture of the time-dependent circulation in the cylinder’s meridional planes and
establish their influence on the azimuthal velocity field structure. The obtained nume rical results differ from the known data over a
wide range of modeling and taking into account all nonlinear characteristics of the velocity distribution of the fluid particles.
Keywords: numerical modeling, cylindrical tank, equations of fluid motion, similarity number, velocity field and pressure field.


1. Dodge F. The new dynamic behavior of liquids in moving containers. F.T.Dodge. Southwest Res. Institute, Texas, U.S.A. 2000, 202 р.
2. Коvalev V.А. Кriterialnaya otsenka fizicheskoy modeli gidrodinamicheskih processov v toplivnih bakah kosmicheskogo apparata. Vestnik NTUU “KPI”, Мashinоstroyeniye, 2009, No.55, pp.22-28.
3. Коvalev В.А., Nosko S.V. Resheniye uravneniy Navye-Stoksa dlya inertsionnogo techeniya v tsilindre, zapolnennom zhidkostyu. Vestnik NTUU “KPI”, Мashinоstroyeniye, 2002, No.42, Т.1. pp.41-44.
4. Коvalev V., Yakhno О. Оsobennosti tsirkulatsionnih techeniy zhidkogo topliva v bakah kosmicheskogo apparata. Hydraulics & Pneumatics, Wroclaw, Poland, Sb. trudov konferentsiyi. 2009, pp.296-302.
5. Kitchens C. Navier-Stokes solution for spin-up in a filled cylinder. AIAA Journal. 1980, vol.18, No8, pp.929-934.
6. Xinjun C. A. Numerical Study of the Recirculation Zones During Spin-Up and Spin-Down for Confined Rotating Flows. Journal of Theoretical and Computation in Fluid Dynamics. 2003. vol.1, pp.31–49.


pdf button.pdf