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Fick's Second Equation

Fick's Second Equation

Diffusion Equation

Jan 27, 20241 min read

Physics

Analogous to Ohm’s Law in electrostatic

$\frac{\partial C}{\partial t} = \frac{\partial ^{2} C}{\partial x ^{2}}$

$C$ is concentration of substance in fluid

$\frac{\partial C}{\partial t} = D \nabla^{2} C$

3D version

$\frac{d c _{n}}{d t} = k_{-} \nabla^{2} c_{n}$

For nucleation

Graph View

$\displaystyle \frac{\partial C }{\partial t}=\frac{\partial^2 C}{\partial x^{2}}$
$\displaystyle \frac{\partial C }{\partial t}=D\nabla ^{2}C$
$\displaystyle \frac{\mathrm{d}c_{n} }{ \mathrm{d}t}=k_{-}\nabla ^{2}c_{n}$

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Fick's Equations

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