Capillarity-induced resonance of blobs in porous media: Analytical solutions, Lattice–Boltzmann modeling, and blob mobilization

2007 ◽  
Vol 309 (2) ◽  
pp. 493-504 ◽  
Author(s):  
Markus Hilpert
1997 ◽  
Vol 08 (04) ◽  
pp. 879-888 ◽  
Author(s):  
R. G. M. Van Der Sman

A lattice-Boltzmann scheme for natural convection in porous media is developed and applied to the heat transfer problem of a 1000 kg potato packaging. The scheme has features new to the field of LB schemes. It is mapped on a orthorhombic lattice instead of the traditional cubic lattice. Furthermore the boundary conditions are formulated with a single paradigm based upon the particle fluxes. Our scheme is well able to reproduce (1) the analytical solutions of simple model problems and (2) the results from cooling down experiments with potato packagings.


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