The evaluation of the void bounds on the trapping constant γ and fluid permeability k for the coated-sphere and coated-cylinder models of porous media was presented. It was shown that the void bounds were optimal in some cases as they coincide with the corresponding exact solutions of γ and k. The exact expressions for the relevant length scale that arises in the void bounds which depends on S2(r) was obtained. It was suggested that the model microstructures have been found that exactly realize bounds on either the trapping constant or fluid permeability.
|Original language||English (US)|
|Journal||Physical review letters|
|Issue number||25 I|
|State||Published - Jun 25 2004|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)