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An approximation diffusion equation for a long narrow channel with varying cross-sectional area

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Abstract

The diffusion equation for long narrow channels which lie parallel to a rectangular coordinate and have varying cross-sectional areas may be approximated by an equation which involves only one space variable and the average concentration at each value of this space variable. This equation is derived and is discussed along with its assumptions.

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  1. Theoretical Statistics & Mathematics Section, National Institute of Mental Health, 20014, Bethesda, Maryland

    Clifford S. Patlak

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  1. Clifford S. Patlak
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Patlak, C.S. An approximation diffusion equation for a long narrow channel with varying cross-sectional area. Bltn Mathcal Biology 35, 81–86 (1973). https://doi.org/10.1007/BF02558796

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  • DOI: https://doi.org/10.1007/BF02558796

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