CBE 417 “Chemical Engineering Equilibrium Separations” Lecture: 9 28 Sep 2012 1 Overview •McCabe-Thiele graphical technique (binary systems) •Condensers •Reboilers • Binary Shortcut Methods • AspenPlus: o Shortcut methods: DSTWU o Rigorous method: RADFRAC • Efficiencies •Introduction to multicomponent distillation 2 Problem Solving Exercise 3 Problem Solving Exercise 4 McCabe Thiele: Total Condenser y1 V1 1 0,9 LO D 0,8 xD y1 Ya 0,7 xD 1 0,6 Y=X 0,5 x1 x0,4 y2 D 2 R 1 0,3 x2 0,2 y3 0,1 3 0 0 0,1 0,2 0,3 0,4 Xa 0,5 0,6 0,7 0,8 0,9 1 x3 y4 5 McCabe Thiele: Partial Condenser yD D y1 V1 1 0,9 LO 0,8 x0 Ya 0,7 xO y1 1 0,6 Y=X 0,5 x1 x0,4 y2 D 2 R 1 0,3 x2 0,2 y3 0,1 3 0 0 0,1 0,2 0,3 0,4 Xa 0,5 0,6 0,7 0,8 0,9 1 x3 y4 6 McCabe Thiele: Partial Condenser Why consider using a partial condenser? • Desire vapor distillate? • Need to control temperature in the column? Concept: o control distillation column temperatures by controlling the operating pressure. o Condenser design / column opn. P o Minimum desirable condenser temperature is ~ 49 oC (120 oF). o Construction of column more expensive at higher pressures (i.e. > 14.8 bar [200 psig]) o Bottoms T too high (decomposition or Tc approached) • Running a partial condenser lowers the column operating pressure (i.e. don’t have to fully condense the distillate product yD D y1 V1 LO x0 xO y1 1 x1 y2 2 x2 y3 3 x3 y4 7 McCabe Thiele: Partial Condenser Seader & Henley, 2006 8 McCabe Thiele: Reboilers Seader & Henley, 2006 9 Effect of Different Reflux Ratios • Before we saw that.. • increasing reflux resulted in an enrichment of vapor stream in the “lighter” component 35 N [number equil. stages] 30 25 20 15 10 5 0 1 1,2 1,4 1,6 1,8 R/Rmin 10 Effect of Different Reflux Ratios • Increase R --- cost effect?? $30 000 Steam Costs [$/yr; 1991] $180 000 $25 000 $160 000 $140 000 $20 000 $120 000 $100 000 $15 000 $ steam $80 000 $10 000 $ water $60 000 $40 000 $5 000 Cooling Water Costs [$/yr; 1991] $200 000 $20 000 $0 $0 1 1,2 1,4 R/Rmin 1,6 1,8 11 Effect of Different Reflux Ratios Rmin Ropt R R = factor * Rmin 1.05 Ropt Rmin 1.50 Seader & Henley, 2006 12 Tie Together • Found using McCabe-Thiele (knowing xD , xB , & feed condition): o Nmin (at total reflux) o Rmin (at infinite number of stages) • If given actual R (or choose by R = factor * Rmin ) can find: oN o NF (optimum feed stage number) Suggests there is a relation between N, Nmin, and Rmin. 13 Gilliland Correlation 61 Data points over ranges: 1. 2. 3. 4. 5. 6. No. components: 2 to 11 q : 0.28 to 1.42 P : vacuum to 42.4 bar : 1.11 to 4.05 Rmin : 0.53 to 9.09 Nmin : 3.4 to 60.3 Molokanov Eqn: 1 54.4 X X 1 Y 1 exp 0.5 11 117.2 X X Seader & Henley, 2006 14 Binary Shortcut Methods McCabe-Thiele is good at showing procedure and helping explain concepts for binary distillation. It can be extended to multiple feeds and side draws (Wankat). When consider multicomponent mixtures, McCabe-Thiele is not quite as useful. However, having some shortcut methods to aid in final column design is useful. Minimum number of stages: Fenske Equation N min xD 1 xB ln 1 x x D B ln - binary; total condenser; ~ constant Dist Bot or Dist Feed Bot 3 1 15 Binary Shortcut Methods Minimum reflux ratio: Underwood Equation Dx D D1 xD Fz F 1 z Lmin F F F 1 - binary; assumes rectifying line intersects eq. line at feed line; ~ constant Rmin Lmin D R = factor * Rmin Approximate number of equilibrium stages (N): Gilliland correlation 16 Binary Shortcut Methods Optimum feed stage location (NF): Kirkbride Equation N R 1 z F xB B N S z F 1 xD D 2 0.206 - binary; approximate result 17 Binary Shortcut Methods 18 Summary Binary Shortcut Methods (FUG) Fenske Equation N min xD 1 xB ln 1 x x D B ln Dist Bot or Dist Feed Bot Underwood Equation Rmin Lmin D Gilliland correlation (Nequil) 1 3 Dx D D1 xD Fz F 1 z Lmin F F F 1 R = factor * Rmin N R 1 z F xB B N S z F 1 xD D 2 Kirkbride Equation (NF(opt)) 0.206 19 Overview • Questions on homework?? • McCabe-Thiele graphical technique (binary systems) •Condensers •Reboilers • Binary Shortcut Methods • AspenPlus: o Shortcut methods: DSTWU o Rigorous method: RADFRAC • Efficiencies •Introduction to multicomponent distillation 20 AspenPlus: DSTWU 21