Diffusion of low-density gases with equal mass
Input(s)
\(\mathrm{T}\): Temperature \((\mathrm{K})\)
\(\boldsymbol{M}_{\boldsymbol{A}}\): Mass of Component A \((\mathrm{g})\)
\(\boldsymbol{M}_{\boldsymbol{B}}\): Mass of Component B \((\mathrm{g})\)
\(\boldsymbol{\sigma}_{\boldsymbol{A} \boldsymbol{B}}:\) Collision Diameter \((\mathrm{cm})\)
P: Pressure (atm)
\(\Omega\): Collision integral (dimensionless)
Output(s)
\(\mathbf{D}_{\boldsymbol{A} \boldsymbol{B}}\): Diffusivity \(\left(\mathrm{cm}^{2} / \mathrm{s}\right)\)
Formula(s)
\[
\mathrm{D}_{\mathrm{AB}}=0.0018583 *\left(\left(\left(\mathrm{~T}^{3}\right) *\left(\left(\frac{1}{\mathrm{M}_{\mathrm{A}}}\right)+\left(\frac{1}{\mathrm{M}_{\mathrm{B}}}\right)\right)\right)^{0.5}\right) *\left(\frac{1}{\mathrm{P} *\left(\sigma_{\mathrm{AB}}^{2}\right) * \Omega}\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 17, Page: 526.