The cellular automata lattice gas approach for fluid flows in porous media

2006 ◽  
Author(s):  
L Ocheretna ◽  
D Lukas
Keyword(s):  
Porous Media ◽  
Cellular Automata ◽  
Lattice Gas ◽  
Fluid Flows ◽  
Flows In Porous Media

scholarly journals A Unified Extended Thermodynamic Description of Diffusion, Thermo-Diffusion, Suspensions, and Porous Media

2005 ◽  
Vol 73 (1) ◽  
pp. 16-20 ◽  
Author(s):  
Georgy Lebon ◽  
Thomas Desaive ◽  
Pierre Dauby
Keyword(s):  
Porous Media ◽  
Evolution Equations ◽  
Diffusion Flux ◽  
Thermodynamic Description ◽  
Fluid Flows ◽  
Irreversible Thermodynamics ◽  
Heat Fluxes ◽  
Flows In Porous Media ◽  
Extended Thermodynamic ◽  
Higher Order Terms

It is shown that extended irreversible thermodynamics (EIT) provides a unified description of a great variety of processes, including matter diffusion, thermo-diffusion, suspensions, and fluid flows in porous media. This is achieved by enlarging the set of classical variables, as mass, momentum and temperature by the corresponding fluxes of mass, momentum and heat. For simplicity, we consider only Newtonian fluids and restrict ourselves to a linear analysis: quadratic and higher order terms in the fluxes are neglected. In the case of diffusion in a binary mixture, the extra flux variable is the diffusion flux of one the constituents, say the solute. In thermo-diffusion, one adds the heat flux to the set of variables. The main result of the present approach is that the traditional equations of Fick, Fourier, Soret, and Dufour are replaced by time-evolution equations for the matter and heat fluxes, such generalizations are useful in high-frequency processes. It is also shown that the analysis can be easily extended to the study of particle suspensions in fluids and to flows in porous media, when such systems can be viewed as binary mixtures with a solid and a fluid component.

From elastic homogenization to upscaling of non-Newtonian fluid flows in porous media

2017 ◽  
Vol 11 (5) ◽  
pp. 607-617
Author(s):  
Ruben Ibañez ◽  
Adrien Scheuer ◽  
Elena Lopez ◽  
Emmanuelle Abisset-Chavanne ◽  
Francisco Chinesta ◽  
...  
Keyword(s):  
Porous Media ◽  
Newtonian Fluid ◽  
Fluid Flows ◽  
Flows In Porous Media
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