Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Journal of Porous Media
Импакт фактор: 1.49 5-летний Импакт фактор: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Печать: 1091-028X
ISSN Онлайн: 1934-0508

Выпуски:
Том 22, 2019 Том 21, 2018 Том 20, 2017 Том 19, 2016 Том 18, 2015 Том 17, 2014 Том 16, 2013 Том 15, 2012 Том 14, 2011 Том 13, 2010 Том 12, 2009 Том 11, 2008 Том 10, 2007 Том 9, 2006 Том 8, 2005 Том 7, 2004 Том 6, 2003 Том 5, 2002 Том 4, 2001 Том 3, 2000 Том 2, 1999 Том 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.2018028822
pages 119-130

IMMISCIBLE VISCOUS FINGERING IN AN ANNULAR HELE-SHAW CELL WITH A SOURCE

Oleg A. Logvinov
Faculty of Mechanics and Mathematics, Moscow MV Lomonosov State University, Moscow 119992, Russia

Краткое описание

The displacement of a viscous fluid from an annular Hele-Shaw cell with a source of finite radius by a less viscous one is studied. The fluids are considered immiscible, so that surface tension forces are acting on the interface. Linear analysis shows a stabilizing effect of surface tension and the presence of a critical interfacial mode with the highest rate of growth. The number of the critical mode is strongly dependent on the capillary number and is virtually independent of the viscosity ratio. The consistency with experimental data is acceptable for small capillary numbers. Numerical simulation of the displacement process is conducted using the continuum surface force (CSF) model. A stabilizing effect of surface tension clearly appears at the initial stage of displacement. The number of generated viscous fingers turns out to be in satisfactory agreement with linear theory and experimental data. However, the lateral surface of viscous fingers can lose stability at the subsequent (nonlinear) stage of displacement.


Articles with similar content:

EFFECTS OF POLYMER DISPERSION AND ADSORPTION ON IMMISCIBLE AND MISCIBLE VISCOUS INSTABILITIES DURING CHEMICAL ENHANCED OIL RECOVERY
Journal of Porous Media, Vol.22, 2019, issue 6
Abhijit Chaudhuri, R. Vishnudas
THERMOHALINE CONVECTION IN A FLUID SATURATED POROUS LAYER WITH LINEAR GRADIENTS
International Heat Transfer Conference 7, Vol.4, 1982, issue
N. Rudraiah, R. Friedrich, P.K. Srimani
MELT CAST EXPLOSIVE FRIABILITY STUDIES
International Journal of Energetic Materials and Chemical Propulsion, Vol.11, 2012, issue 6
Alice I. Atwood, Kevin P. Ford, C. J. Wheeler, Q. T. BuiDang, M. T. Gennrich, A. L. Daniels, E. Woods
On Stationary and Oscillatory Modes of Flow Instability in a Rotating Porous Layer during Alloy Solidification
Journal of Porous Media, Vol.6, 2003, issue 3
Daniel N. Riahi
Effect of Darcy-Prandtl Number on the Stability of Solutal Convection in Solidifying Binary Alloy Systems
Journal of Porous Media, Vol.9, 2006, issue 6
Saneshan Govender