The Stokes flow in a rectangular cavity with two opposite fixed and two opposite moving walls and a (rotating) cylinder in the centre is investigated. This flow is used as a prototype flow for studying distributive mixing. A general analytical method of superposition is implemented. The method is illustrated with several examples of steady flow and the topology of the streamlines is discussed. Some typical examples of laminar mixing under periodic wall motion are examined.
%0 Journal Article
%1 citeulike:9973963
%A Galaktionov, O. S.
%A Meleshko, V. V.
%A Peters, G. W. M.
%A Meijer, H. E. H.
%D 1999
%J Fluid Dynamics Research
%K 76d07-stokes-and-related-oseen-etc-flows
%P 81+
%R 10.1016/s0169-5983(98)00013-6
%T Stokes Flow in a Rectangular Cavity with a Cylinder
%U http://dx.doi.org/10.1016/s0169-5983(98)00013-6
%X The Stokes flow in a rectangular cavity with two opposite fixed and two opposite moving walls and a (rotating) cylinder in the centre is investigated. This flow is used as a prototype flow for studying distributive mixing. A general analytical method of superposition is implemented. The method is illustrated with several examples of steady flow and the topology of the streamlines is discussed. Some typical examples of laminar mixing under periodic wall motion are examined.
@article{citeulike:9973963,
abstract = {{The Stokes flow in a rectangular cavity with two opposite fixed and two opposite moving walls and a (rotating) cylinder in the centre is investigated. This flow is used as a prototype flow for studying distributive mixing. A general analytical method of superposition is implemented. The method is illustrated with several examples of steady flow and the topology of the streamlines is discussed. Some typical examples of laminar mixing under periodic wall motion are examined.}},
added-at = {2017-06-29T07:13:07.000+0200},
author = {Galaktionov, O. S. and Meleshko, V. V. and Peters, G. W. M. and Meijer, H. E. H.},
biburl = {https://www.bibsonomy.org/bibtex/292f477e0556746c339a4192d83247067/gdmcbain},
citeulike-article-id = {9973963},
citeulike-attachment-1 = {galaktionov_99_stokes.pdf; /pdf/user/gdmcbain/article/9973963/715408/galaktionov_99_stokes.pdf; b1fb5741421096463d978e06b0f0a81e15e8a14b},
citeulike-linkout-0 = {http://dx.doi.org/10.1016/s0169-5983(98)00013-6},
comment = {(private-note)Circulated by sam 2011-11-01 after St\'{e}phane Popinet requested exact solutions of the Stokes problem.},
day = 31,
doi = {10.1016/s0169-5983(98)00013-6},
file = {galaktionov_99_stokes.pdf},
interhash = {99e8a9de41031bdb49586641b8fd3e6e},
intrahash = {92f477e0556746c339a4192d83247067},
journal = {Fluid Dynamics Research},
keywords = {76d07-stokes-and-related-oseen-etc-flows},
month = jan,
pages = {81+},
posted-at = {2011-11-01 03:22:36},
priority = {2},
timestamp = {2017-06-29T07:13:07.000+0200},
title = {{Stokes Flow in a Rectangular Cavity with a Cylinder}},
url = {http://dx.doi.org/10.1016/s0169-5983(98)00013-6},
year = 1999
}