Bodenstein number

The Bodenstein number is calculated according to :\mathit{Bo}=\frac{u \cdot L}{D_\mathrm{ax}} where • u: flow velocity • L: length of the reactor • D_\mathrm{ax}: axial dispersion coefficient It can also be determined experimentally from the distribution of the residence times. Assuming an open system: :\sigma_\theta^2=\frac{\sigma^2}{\tau^2}=\frac{2}{\mathit{Bo}}+\frac{8}{\mathit{Bo}^2} holds, where • \sigma^{2}_{\theta}: dimensionless variance • \sigma^2: variance of the mean residence time • \tau: hydrodynamic residence time The Bodenstein number is similar to the Péclet number, which is applied in thermodynamics and in fluid mechanics. The axial dispersion coefficient correlates with the axial Péclet number. \mathit{Pe_{ax}}=\frac{u \cdot \widetilde{L}}{D_{ax}} where • \widetilde{L}: – characteristic length \mathit{Bo}=\mathit{Pe_{ax}}\cdot\frac{\widetilde{L}}{L} == References ==