Art

J-GLOBAL ID：201802289656018378   Reference number：18A0315181

Instability of a free boundary in a Hele-Shaw cell with sink/source and its parameter dependence

シンク/ソースを持つHele-Shawセルにおける自由境界の不安定性とそのパラメータ依存性

Author (3)： Tani Hisasi (Meiji University) ,  Tani Hisasi (Keio University) ,  Yazaki Shigetoshi (Meiji University)
Material： JSIAM Letters (Web)  (JSIAM Lett (Web))
Volume： 9  Page： 37-40(J-STAGE)  Publication year： 2015 
JST Material Number： U0115A  ISSN： 1883-0617  Document type： Article
Article type： 短報  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *viscous flow ,  boundary ,  instability ,  *parameterization ,  *stability analysis ,  *numerical analysis ,  condition ,  improvement of efficiency ,  fluid ,  interface (surface) ,  stability ,  coefficient of viscosity ,  ratio ,  evaluation test ,  *Hele-Shaw cell ,  *fluid flow ,  modification ,  coefficient ,  transport coefficient ,  degree
Semi thesaurus term： *Saffman-Taylor不安定性条件 ,  自由境界 ,  注入率 ,  viscosity

Author keywords (5)： Hele-Shaw cell with sink/source ,  Saffman--Taylor instability ,  linear stability analysis ,  two phase Hele-Shaw problem ,  free boundary

JST classification (3)： Transport phenomena in liquids in general  (BL06011A) ,  System and control theory in general  (IA02010H) ,  Numerical computation  (JE02000J)

Reference (10)：

• 1) P. G. Saffman and G. I. Taylor, The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid, in: Proc. R. Soc. A, 245 (1958), 312-329.
• 2) J. W. McLean and P. G. Saffman, The effect of surface tension on the shape of fingers in a a Hele-Shaw cell, J. Fluid Mech., 102 (1981), 455-469.
• 3) R. L. Chuoke, P. van Meurs and C. van der Poel, The instability of slow, immiscible, viscous liquid-liquid displacements in permeable media, Trans. AIME, 216 (1959), 188-194.
• 4) P. Tabeling, G. Zocchi and A. Libchaber, An experimental study of the Saffman--Taylor instability, J. Fluid Mech., 177 (1987), 67-82.
• 5) J. Bataille, Stabilité d ́un écoulement radial non miscible, Revue Inst. Pétrole, 23 (1968), 1349-1364.

Terms in the title (5)： シンク ,  ソース ,  Hele-Shawセル ,  不安定性 ,  パラメータ依存性