Gas absorption with chemical reaction in an agitated tank

Input(s)

k1\boldsymbol{k}_{\mathbf{1}}: Diffusion Rate (gmol/s)(\mathrm{g} \mathrm{mol} / \mathrm{s})

L: Length (cm)(\mathrm{cm})

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

V: Volume (cc)

S: Surface Area (cm2)\left(\mathrm{cm}^{2}\right)

δ\delta: Location of Catalytic Bed (fraction)

Output(s)

\emptyset: Thiele Modulus (dimensionless)

N\mathrm{N}: Flux (gmol/s)(\mathrm{g} \mathrm{mol} / \mathrm{s})

Formula(s)

=(k1( L2)DAB)0.5 N=(sinh())(cosh()(1cosh()+(Vδ S)sinh()))\begin{gathered} \varnothing=\left(\frac{\mathrm{k}_{1} *\left(\mathrm{~L}^{2}\right)}{\mathrm{D}_{\mathrm{AB}}}\right)^{0.5} \\ \mathrm{~N}=\left(\frac{\varnothing}{\sinh (\varnothing)}\right) *\left(\cosh (\varnothing)-\left(\frac{1}{\cosh (\varnothing)+\left(\frac{\mathrm{V}}{\delta * \mathrm{~S}}\right) * \emptyset * \sinh (\varnothing)}\right)\right) \end{gathered}

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 18, Page: 557.


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