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

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

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

Feed Tray Feed Flows If numbered from top

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

Tray Efficiency

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

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.

Optimization + 4.0

Simplification 2.40 VA+ 4.00 VW + 400

Beer Optimization