Correction: Ränger, L.-M., et al. Robust Initialization of Rigorous Process Simulations of Multiple Dividing Wall Columns via Vmin Diagrams. ChemEngineering 2018, 2, 25

Equation Correction

There was an error in the original article [1]. The expression (1-q)∙F was positioned at a wrong location in Sections 4.2 and 4.3. Note that this expression usually cancels out for a liquid boiling feed stream. It is only important in the case of a different feed state. A correction was made to Equations (19), (21), (22) and (23) and to Figure 8.

$$V_{min,BC}=V^{T,C_{21}}-V^{B,C_{21}}={\displaystyle \sum }_{i=1}^n\frac{{\alpha }_i·z_i·F}{{\alpha }_i-{\theta }_A^{’}}·r_i^{T,C_1}=\frac{{\alpha }_A·F·z_A·r_A^{T,C_1}}{{\alpha }_A-{\theta }_A^{’}}+\frac{{\alpha }_B·F·z_B·r_B^{T,C_1}}{{\alpha }_B-{\theta }_A^{’}}$$

(19)

$$-V_{min,BC}+\left(1-q\right)·F=V^{T,C_{22}}-V^{B,C_{22}}={\displaystyle \sum }_{i=1}^n\frac{{\alpha }_i·z_i·F}{{\alpha }_i-{\theta }_C^{’}}·r_i^{B,C_1}=\frac{{\alpha }_C·F·z_C·\left(1-r_C^{T,C_1}\right)}{{\alpha }_C-{\theta }_C^{’}}+\frac{{\alpha }_D·F·z_D·\left(1-r_D^{T,C_1}\right)}{{\alpha }_D-{\theta }_C^{’}}$$

(21)

$$V_{min,CD}{}^{’}=V^{B,C_{22}}+\left(1-q\right)·F=V^{T,C_{22}}+V_{min,BC}-\left(1-q\right)·F+\left(1-q\right)·F=\frac{{\alpha }_C·F·z_C·r_C^{T,C_{22}}}{{\alpha }_C-{\theta }_C^{’}}+V_{min,BC}$$

(22)

$$V^{T,C_1}=\frac{{\alpha }_A·F·z_A·r_A^{T,C_1}}{{\alpha }_A-{\Phi }^{C_1}}+\frac{{\alpha }_B·F·z_B·r_B^{T,C_1}}{{\alpha }_B-{\Phi }^{C_1}}=V_{min,BC}$$

(23)

In addition, in Figure 8, a modification had to be made (see Figure 1).

The authors apologize for any inconvenience caused and state that the scientific conclusions are unaffected. The original article has been updated.