“Chemical Engineering Equilibrium Separations” Lectures 14 17 Oct 2012 1 Overview •AspenPlus: o Shortcut methods: DSTWU o Rigorous method: RADFRAC • Efficiencies • Introduction to multicomponent distillation (Chapter 9) 2 Multicomponent Distillation (Introduction) • In binary distillation we could specify xD and xB …. • Now: define “Key Components” Decreasing Relative Volatility 1 2 3 4 Keys Light Heavy Most of LK obtained in distillate product Most of HK obtained in bottoms product Today, most multicomponent systems are solved rigorous simulation. But need to do shortcut methods to get good starting point (FUG-Kirkbride). 3 Multicomponent Shortcut Methods Minimum number of stages: Fenske Equation N min xLK xHK ln xHK Dist xLK ln LK HK N min Bot FRLK ln 1 FRLK FRHK Dist 1 FRHK ln Bot Dist Bot or Dist Feed Bot 1 3 4 Multicomponent Shortcut Methods Minimum reflux ratio: Underwood Equation Case A: DxLK , D DxHK , D NKs don’t LK HK distribute Fz Fz Lmin F LK , F LK HK 1 HK , F Rmin Lmin D Case B & C: NKs distribute, or there is a “sandwich” NK: see Wankat; numerical iterative procedures can be involved. R = factor * Rmin Approximate number of equilibrium stages (N): Gilliland correlation 5 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 6 Multicomponent Shortcut Methods Optimum feed stage location (NF): Kirkbride Equation N R z HK N S z LK xLK , B B z D Feed HK , D 2 0.206 DSTWU (AspenPlus) • Uses Winn, Underwood, and Gilliland methods to find Nmin, Rmin, & N. • Specify LK and HK recoveries in the distillate product stream • If input -1.2 for reflux ratio; it finds N at R = 1.2 * Rmin. • N given by DSTWU is number of equilibrium stages (includes partial condensers and/or partial reboilers) 7 In-Class Problem benzene (17 mol%) toluene (66 mol%) m-xylene (17 mol%) D S HO RT Y DSTWU FEE D F = 100 kmol/s sat’d liquid 1 atm B 1.0135 bar Component Benzene Toluene m-Xylene Tbp oC 80.1 110.7 139.1 Pi star [bar] 80.1 oC 123 oC 1.0135 3.217 0.387 1.42 0.151 0.645 8 In-Class Problem 9 In-Class Problem 10 In-Class Problem 11 In-Class Problem By hand calculations first. Then use to verify AspenPlus results… 12 In-Class Problem 13 In-Class Problem 14 Homework Problem benzene (17 mol%) toluene (66 mol%) m-xylene (17 mol%) Xbz = 99 mol% D S HO RT Y DSTWU FEE D F = 100 kmol/s sat’d liquid 1 atm B Xbz = 0.1 mol% 1.0135 bar Component Benzene Toluene m-Xylene Tbp oC 80.1 110.7 139.1 Pi star [bar] 80.1 oC 123 oC 1.0135 3.217 0.387 1.42 0.151 0.645 15 Overview •AspenPlus: o Shortcut methods: DSTWU o Rigorous method: RADFRAC • Efficiencies • Introduction to multicomponent distillation (Chapter 9) 16