Motion of inviscid fluid tongues and bubbles in a Hele-Shaw cell occupied by a viscoelastic fluid |
| |
Authors: | V M Entov S S Kolganov N V Kolganova |
| |
Institution: | (1) Department of Mathematics, Texas A&;M University, College Station, TX 77843, USA;(2) Institute of Mathematics “Simion Stoillow” of Romanian Academy, Bucharest, 70700, Romania |
| |
Abstract: | Problems of steady-state motion of an inviscid fluid tongue or bubble in a Hele-Shaw cell occupied by a viscoelastic fluid are considered. The problems generalize the well-known Saffman-Taylor problems 1, 2] in the approximation in which the pressure jump on the interface between the two fluids depends on the normal velocity of the interface 4]. In the zero approximation the results obtained by means of an iteration technique are in good agreement with the analytic solutions obtained by Saffman and Taylor 1, 2].__________Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, 2005, pp. 117–123. Original Russian Text Copyright © 2005 by Entov, Kolganov, and Kolganova. |
| |
Keywords: | unstable displacement Saffman-Taylor bubble Hele-Shaw cell Saffman-Taylor tongue |
本文献已被 SpringerLink 等数据库收录! |
|