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Underwood Equations – (L/D)min

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Presentation on theme: "Underwood Equations – (L/D)min"— Presentation transcript:

1 Underwood Equations – (L/D)min
We have looked at one limiting condition, Nmin, determined using the Fenske method at total reflux conditions. The other limiting condition for multi-component systems is the solution for the minimum reflux ratio, (L/D)min, which gives us an infinite number of stages. This method is known as the Underwood method or the Underwood equations. Lecture 18

2 Underwood Equations – (L/D)min
Lecture 18

3 1st Underwood Equation – φ Roots
Lecture 18

4 Underwood Equations – Cases
Lecture 18

5 Underwood Equations – Case A Methodology
Lecture 18

6 Underwood Equations – Case A Methodology (continued)
Lecture 18

7 Underwood Equations – Case A Methodology (continued)
Lecture 18

8 Underwood Equations – Case B Methodology
Lecture 18

9 Underwood Equations – Case B Methodology (continued)
Lecture 18

10 Underwood Equations – Case B Methodology (continued)
Lecture 18

11 Underwood Equations – Case C Methodology
Lecture 18

12 Underwood Equations – Case C Methodology (continued)
Lecture 18

13 Underwood Equations – Case C Methodology (continued)
Lecture 18

14 Gilliland Correlation – N and NF
Empirical relationship which relates the number of stages, N, at finite reflux ratio, (L/D)actual to the Nmin and (L/D)min. Nmin is determined from the Fenske equation. (L/D)min is determined from the Underwood equations. Lecture 18

15 Gilliland Correlation
Lecture 18

16 Gilliland Correlation – Curve Fits
Lecture 18

17 Gilliland Correlation – NF
Lecture 18


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