Flow of viscous incompressible liquid in a plane channel with abrupt one-sided broadening

1978 ◽  
Vol 35 (6) ◽  
pp. 1470-1474
Author(s):  
V. I. Korobko ◽  
�. M. Malaya ◽  
V. K. Shashmin
Keyword(s):  
Incompressible Liquid ◽  
Plane Channel ◽  
Viscous Incompressible Liquid

scholarly journals Wetting front dynamics in an isotropic porous medium

2012 ◽  
Vol 694 ◽  
pp. 399-407 ◽  
Author(s):  
Yulii D. Shikhmurzaev ◽  
James E. Sprittles
Keyword(s):  
Porous Medium ◽  
Incompressible Liquid ◽  
Porous Matrix ◽  
Viscous Incompressible Liquid ◽  
Pore Scale ◽  
Wetting Front ◽  
Model Case ◽  
New Approach ◽  
Threshold Phenomena ◽  
Front Dynamics

AbstractA new approach to the modelling of wetting fronts in porous media on the Darcy scale is developed, based on considering the types (modes) of motion the menisci go through on the pore scale. This approach is illustrated using a simple model case of imbibition of a viscous incompressible liquid into an isotropic porous matrix with two modes of motion for the menisci, the wetting mode and the threshold mode. The latter makes it necessary to introduce an essentially new technique of conjugate problems that allows one to link threshold phenomena on the pore scale with the motion on the Darcy scale. The developed approach (a) makes room for incorporating the actual physics of wetting on the pore scale, (b) brings in the physics associated with pore-scale thresholds, which determine when sections of the wetting front will be brought to a halt (pinned), and, importantly, (c) provides a regular framework for constructing models of increasing complexity.

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