Diffusion in random networks

Zhang, Duan Z.; Padrino, Juan C.

doi:10.1016/j.ijmultiphaseflow.2017.01.019

Title: Diffusion in random networks

Journal Article · Thu Jun 01 00:00:00 EDT 2017 · International Journal of Multiphase Flow

DOI:https://doi.org/10.1016/j.ijmultiphaseflow.2017.01.019· OSTI ID:1345146

Zhang, Duan Z.; Padrino, Juan C.

The ensemble averaging technique is applied to model mass transport by diffusion in random networks. The system consists of an ensemble of random networks, where each network is made of pockets connected by tortuous channels. Inside a channel, fluid transport is assumed to be governed by the one-dimensional diffusion equation. Mass balance leads to an integro-differential equation for the pocket mass density. The so-called dual-porosity model is found to be equivalent to the leading order approximation of the integration kernel when the diffusion time scale inside the channels is small compared to the macroscopic time scale. As a test problem, we consider the one-dimensional mass diffusion in a semi-infinite domain. Because of the required time to establish the linear concentration profile inside a channel, for early times the similarity variable is xt^$$-$$1/4 rather than xt^$$-$$1/2 as in the traditional theory. We found this early time similarity can be explained by random walk theory through the network.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1345146

Report Number(s):: LA-UR-16-22197

Journal Information:: International Journal of Multiphase Flow, Vol. 92, Issue C; ISSN 0301-9322

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 1 work

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