Diffusion of low-density gases with equal mass

Input(s)

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

MA\boldsymbol{M}_{\boldsymbol{A}}: Mass of Component A (g)(\mathrm{g})

MB\boldsymbol{M}_{\boldsymbol{B}}: Mass of Component B (g)(\mathrm{g})

σAB:\boldsymbol{\sigma}_{\boldsymbol{A} \boldsymbol{B}}: Collision Diameter (cm)(\mathrm{cm})

P: Pressure (atm)

Ω\Omega: Collision integral (dimensionless)

Output(s)

DAB\mathbf{D}_{\boldsymbol{A} \boldsymbol{B}}: Diffusivity (cm2/s)\left(\mathrm{cm}^{2} / \mathrm{s}\right)

Formula(s)

DAB=0.0018583((( T3)((1MA)+(1MB)))0.5)(1P(σAB2)Ω)\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.

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