Projecting diffusion along the normal bundle of a plane curve
Carlos Valero Valdes, Rafael Herrera Guzman
TL;DR
This paper derives new formulas to estimate the effective diffusion coefficient for a Fick-Jacob type equation by projecting 2D diffusion along the normal of any plane curve, aiding in modeling diffusion in complex geometries.
Contribution
It introduces novel formulas for estimating effective diffusion coefficients through projection along the normal of arbitrary plane curves.
Findings
New formulas for diffusion coefficient estimation.
Applicable to arbitrary plane curves.
Enhances modeling of diffusion in complex geometries.
Abstract
The purpose of this paper is to provide new formulas for the estimation of the effective diffusion coefficient of an equation of Fick-Jacob's type obtained by projecting the two-dimensional diffusion equation along the normal direction of an arbitrary plane curve.
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