Abstract
For a dissolved compound, a stationary transport equation containing a barodiffusion term is obtained. The compound distribution is approximated for the case of a network of thin pipes, and is given by the first non-harmonic pressure approximation term. Numerical simulations of the compound distribution and its approximation are considered for the case of two simple two-dimensional domains. The proposed equation is able to describe inhomogeneities in the stationary compound distribution between the branching vessels. Further, the approximation sufficiently describes the inhomogeneities.
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Communicated by A. Quarteroni.
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Chavarría-Krauser, A., Jäger, W. Barodiffusion effects in bifurcating capillaries. Comput. Visual Sci. 13, 121–128 (2010). https://doi.org/10.1007/s00791-009-0131-7
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DOI: https://doi.org/10.1007/s00791-009-0131-7