Stability of the lateral surface of viscous fingers formed when a fluid is displaced from a Hele-Shaw cell
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2011), pp. 40-46
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It is shown that instability develops on the lateral surface of the viscous fingers formed when a fluid is displaced from a Hele–Shaw cell. This instability is caused by the inertia forces. On the contrary, the viscous forces acting in the plane of the cell stabilize the surface.
@article{VMUMM_2011_2_a6,
author = {O. A. Logvinov},
title = {Stability of the lateral surface of viscous fingers formed when a fluid is displaced from a {Hele-Shaw} cell},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {40--46},
publisher = {mathdoc},
number = {2},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_2_a6/}
}
TY - JOUR AU - O. A. Logvinov TI - Stability of the lateral surface of viscous fingers formed when a fluid is displaced from a Hele-Shaw cell JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2011 SP - 40 EP - 46 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2011_2_a6/ LA - ru ID - VMUMM_2011_2_a6 ER -
%0 Journal Article %A O. A. Logvinov %T Stability of the lateral surface of viscous fingers formed when a fluid is displaced from a Hele-Shaw cell %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2011 %P 40-46 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2011_2_a6/ %G ru %F VMUMM_2011_2_a6
O. A. Logvinov. Stability of the lateral surface of viscous fingers formed when a fluid is displaced from a Hele-Shaw cell. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2011), pp. 40-46. http://geodesic.mathdoc.fr/item/VMUMM_2011_2_a6/