Axisymmetric instability of pressure-driven flow in an annular channel at high Reynolds numbers
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 10, pp. 1739-1745
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For the pressure-driven flow in an annular channel, its linear instability with respect to axisymmetric perturbations at high Reynolds numbers is investigated within the framework of the triple-deck theory. It is shown that the problem is reduced to that of the two-dimensional linear instability of the Poiseuille flow in a plane channel. The ratio of the inner to outer radii of the channel is found at which the instability is minimal.
@article{ZVMMF_2013_53_10_a12,
author = {I. V. Savenkov},
title = {Axisymmetric instability of pressure-driven flow in an annular channel at high {Reynolds} numbers},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1739--1745},
publisher = {mathdoc},
volume = {53},
number = {10},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_10_a12/}
}
TY - JOUR AU - I. V. Savenkov TI - Axisymmetric instability of pressure-driven flow in an annular channel at high Reynolds numbers JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2013 SP - 1739 EP - 1745 VL - 53 IS - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_10_a12/ LA - ru ID - ZVMMF_2013_53_10_a12 ER -
%0 Journal Article %A I. V. Savenkov %T Axisymmetric instability of pressure-driven flow in an annular channel at high Reynolds numbers %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2013 %P 1739-1745 %V 53 %N 10 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_10_a12/ %G ru %F ZVMMF_2013_53_10_a12
I. V. Savenkov. Axisymmetric instability of pressure-driven flow in an annular channel at high Reynolds numbers. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 10, pp. 1739-1745. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_10_a12/