Knudsen flow

Input(s)

m: Molecular Mass (g)

K\mathrm{K}: Boltzmann Constant (m2 kg s2 K1)\left(\mathrm{m}^{2} \mathrm{~kg} \mathrm{~s}^{-2} \mathrm{~K}^{-1}\right)

T\mathrm{T}: Temperature (Kelvin)

R: Radius (m)

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

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

L: Length (m)

Output(s)

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

Formula(s)

w=sqrt(2mKT)(43R3)popLLw=\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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