Knudsen flow

Input(s)

m: Molecular Mass (g)

\(\mathrm{K}\): Boltzmann Constant \(\left(\mathrm{m}^{2} \mathrm{~kg} \mathrm{~s}^{-2} \mathrm{~K}^{-1}\right)\)

\(\mathrm{T}\): Temperature (Kelvin)

R: Radius (m)

po: Pressure at Initial point \((\mathrm{Pa})\)

pL: Pressure at point \(\mathrm{L}(\mathrm{Pa})\)

L: Length (m)

Output(s)

w: Mass Rate Flow \((\mathrm{kg} / \mathrm{s})\)

Formula(s)

\[ w=\operatorname{sqrt}\left(2 * \frac{m}{K * T}\right) *\left(\frac{4}{3} * R^{3}\right) * \frac{p o-p L}{L} \]

Reference(s)

Wikipedia.org.

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