Three-dimensional site percolation problem and effective-medium theory: A computer study

1977 ◽  
Vol 16 (4) ◽  
pp. 339-348 ◽  
Author(s):  
Yoshio Yuge
Keyword(s):  
Effective Medium Theory ◽  
Three Dimensional ◽  
Effective Medium ◽  
Computer Study ◽  
Site Percolation ◽  
Medium Theory ◽  
Percolation Problem

Creeping flow in two-dimensional networks

1982 ◽  
Vol 119 ◽  
pp. 219-247 ◽  
Author(s):  
Joel Koplik
Keyword(s):  
Effective Medium Theory ◽  
Three Dimensional ◽  
Effective Medium ◽  
Creeping Flow ◽  
Absolute Permeability ◽  
Two Dimensional ◽  
Linear Network ◽  
Medium Theory ◽  
Reynolds Number Flow ◽  
Number Flow

We discuss creeping incompressible fluid flow in two-dimensional networks consisting of regular lattice arrays of variable-sized channels and junctions. The intended application is to low-Reynolds-number flow in models of porous media. The flow problem is reduced to an analogue linear-network problem and is solved by numerical matrix inversion. It is found that ‘effective-medium theory’ provides an excellent approximation to flow in such networks. Various qualitative features of such flows are discussed, and an elegant general form for the absolute permeability is derived. The latter, and the effective-medium approximation, are equally applicable to three-dimensional networks.

New assembly route for three-dimensional metamaterials obtained through effective medium theory

2012 ◽  
Vol 21 (11) ◽  
pp. 117802 ◽  
Author(s):  
Yuan-Zhang Zang ◽  
Ming-Xia He ◽  
Jian-Qiang Gu ◽  
Zhen Tian ◽  
Jia-Guang Han
Keyword(s):  
Effective Medium Theory ◽  
Three Dimensional ◽  
Effective Medium ◽  
Medium Theory
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