Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

Russian  English English About Journal | Issues | Editorial Board | Contact Us
 


 Web hosting is provided
by the Ishlinsky Institute for
Problems in Mechanics
of the Russian
Academy of Sciences
IssuesArchive of Issues2008-5pp.536-549

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

<< Previous article | Volume 72, Issue 5 / 2008 | Next article >>
A.G. Petrov, "The mixing of a viscous fluid in a layer between rotating eccentric cylinders," J. Appl. Math. Mech. 72 (5), 536-549 (2008)
Year 2008 Volume 72 Issue 5 Pages 536-549
Title The mixing of a viscous fluid in a layer between rotating eccentric cylinders
Author(s) A.G. Petrov (Moscow, Russia, petrov@ipmnet.ru)
Abstract The motion of an incompressible viscous fluid in a thin layer between two circular cylinders, inserted into one another, with parallel axes is investigated. The cylinders rotate relative to one another about an axis parallel to the axes of the cylinders. The stream function of the unsteady plane-parallel flow that occurs is found by solving the boundary-value problem for the equations of hydrodynamic lubrication theory. The motion of the fluid particles is found from the solution of a non-autonomous time-periodic Hamiltonian system with a Hamiltonian equal to the stream function. The positions of fluid particles over time intervals that are a multiple of the period of rotation (Poincaré points) are calculated. The set of points is investigated using a Poincaré mapping on the phase flow. The observed transition to chaotic motion is related to the mixing of the fluid particles and is investigated both numerically and using a mapping, calculated with an accuracy up to the third power of the small eccentricity. The optimum mode of motion is observed when the area of the mixing (chaos) region reaches its highest value.
Received 23 March 2006
Link to Fulltext http://www.sciencedirect.com/science/journal/00218928
<< Previous article | Volume 72, Issue 5 / 2008 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 245, 119526 Moscow, Russia (+7 495) 434-2149 pmm@ipmnet.ru pmmedit@ipmnet.ru http://pmm.ipmnet.ru
Founders: Russian Academy of Sciences, Branch of Power Industry, Machine Building, Mechanics and Control Processes of RAS, Journals on Mechanics Ltd.
© Journals on Mechanics Ltd.
Webmaster: Alexander Levitin
Rambler's Top100