1. Terry A. Ring Chemical Engineering University of Utah
Optimization II
Terry A. Ring
Chemical Engineering
University of Utah

2. Aspen Optimization Use Design II Aspen File MeOH Distillation-4.apw
XD ≥ 0.99
Use Design II Aspen File
MeOH Distillation-4.apw
Optimize DISTL column
V=D*(R+1)
Minimize V
w.r.t. R and D/F
s.t. R ≥ Rmin
xD>0.99 (methanol),
xB<0.01 (methanol)
XF =0.5
XB≤ 0.01

3. Fenske Equation 2 phase flash αLK,HK =KMeOH/KH2O
d = mole flow Distillate
b = mole flow Bottoms

4. Feed Tray
Feed Flows
If numbered from top

5. Gilliand Correlation
Rmin
Gilliand Correlation
DSTWU – Table of R vs N

6. Tray Efficiency

7. Aspen Optimization Use Design II Aspen File MeOH Distillation-4.apw
XD ≥ 0.99
Use Design II Aspen File
MeOH Distillation-4.apw
Optimize DISTL column
V=D*(R+1)
Minimize V
w.r.t. R and D/F
s.t. R ≥ Rmin
xD>0.99 (methanol),
xB<0.01 (methanol)
XF =0.5
XB≤ 0.01

8. Beer Optimization
During the 2002 Winter Olympics in Salt Lake City, Utah, a local microbrewery, Shades of Pale, received a rush order for 100 gallons of beer containing at least 4.0 volume % alcohol. Although no 4% beer was in stock, large quantities of Beer A with 4.5% alcohol at a price of $6.40∕gallon and Beer B with 3.2% alcohol priced at $4.00∕gallon were available as was water suitable for adding to the blend at no cost. The brewery manager wanted to use at least 10 gallons of Beer A to empty one container. Neglecting any volume change due to mixing, set up a suitable LP and solve it to determine the volumes (in gallons) of Beer A, Beer B, and water that should be blended to produce the desired order at the minimum cost.

9. Optimization
+ 4.0

10. Simplification
2.40 VA VW + 400

11. Beer Optimization