engleski

A note on permeability for a network of thin channels

We study a viscous flow through a periodic network of thin channels with small period $\varepsilon$ and small thickness $\varepsilon\ ; \delta$. We consider two cases $\limit_{; ; \varepsilon\to 0}; ; (\limit_{; ; \delta\to 0}; ; $ and $\limit_{; ; \delta\to 0}; ; (\limit_{; ; \varepsilon\to 0}; ; $. In both cases the limit (homogenized) problem is the Darcy law with the same permeability tensor.

periodic porous media; network of thin channels; commuting limits

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