scholarly journals Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization

2015 ◽  
Vol 292 ◽  
pp. 195-220 ◽  
Author(s):  
Thomas Carraro ◽  
Christian Goll ◽  
Anna Marciniak-Czochra ◽  
Andro Mikelić
Keyword(s):  
Porous Medium ◽  
Viscous Fluid ◽  
Interface Conditions

SPATIAL DECAY IN THE PIPE FLOW OF A VISCOUS FLUID INTERFACING A POROUS MEDIUM

2001 ◽  
Vol 11 (09) ◽  
pp. 1547-1562 ◽  
Author(s):  
K. A. AMES ◽  
L. E. PAYNE ◽  
J. C. SONG
Keyword(s):  
Porous Medium ◽  
Viscous Fluid ◽  
Boundary Conditions ◽  
Pipe Flow ◽  
Lateral Surface ◽  
Surface Boundary ◽  
Interface Conditions ◽  
Spatial Decay ◽  
Weighted Energy ◽  
Surface Boundary Conditions

This paper establishes exponential decay of weighted energy in the pipe flow of a slowly moving viscous fluid interfacing with a porous medium when homogeneous initial and lateral surface boundary conditions and appropriate interface conditions are applied. This decay requires that the net flow across the intake section of the semi-infinite pipe be zero.

Stability of Hydromagnetic Thermoconvective Flow Through Porous Medium

1973 ◽  
Vol 40 (4) ◽  
pp. 879-884 ◽  
Author(s):  
Prabhamani R. Patil ◽  
N. Rudraiah
Keyword(s):  
Porous Medium ◽  
Viscous Fluid ◽  
Normal Mode ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Thermal Convection ◽  
Stability Region ◽  
Flow Through ◽  
The Stability ◽  
Mode Technique

The stability of the onset of thermal convection of a conducting viscous fluid in a porous medium has been investigated using the linear (normal mode technique) and the non-linear (energy) stability theories. Both the theories show that the stability region is increased to the maximum extent when the usual viscous dissipation is also present in addition to the dissipation due to Darcy’s resistance and Joule heating.

DYNAMIC SIMILARITY OF INSTABILITIES OF DISPLACEMENT FRONTS IN POROUS MEDIA

1961 ◽  
Vol 39 (9) ◽  
pp. 1253-1263
Author(s):  
A. E. Scheidegger
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Viscous Fluid ◽  
Model Experiments ◽  
Scaling Relationships ◽  
Dynamic Similarity

It has been observed that instabilities may occur when a fluid penetrates into a porous medium which contains another, more viscous fluid. The problem of describing these instabilities analytically is very difficult so that recourse has been taken to model experiments. In the present paper, the scaling relationships (dynamic similarity conditions) for the interpretation of such model experiments are derived, based upon a variety of theories of the instability phenomena.

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