1. DISTILLATION DESIGN
RIGOROUS METHODS

2. COMPLEX METHODS METHODS FOR RIGOROUS MODELING STAGE TO STAGE
LEWIS-MATHESON
THIELE-GEDDES
TRIDIAGONAL MATRIX METHODS
BUBBLE POINT (BP)
SUM-RATES (SR)
INSIDE-OUT

3. LEWIS-MATHESON METHOD
USED TO DETERMINE REQUIRED NUMBER OF TRAYS ABOVE FEED
TOP SECTION STARTS AT THE TOP TRAY AND USES OPERATING LINES FOR EACH COMPONENT
COMPLETE DEW POINT TEMPERATURE CALCULATIONS ON EACH TRAY
CALCULATIONS STOP WHEN FEED TRAY CONCENTRATION IS ACHIEVED

4. LEWIS-MATHESON METHOD
USED TO DETERMINE REQUIRED NUMBER OF TRAYS BELOW FEED
BOTTOM SECTION STARTS AT THE REBOILER USES OPERATING LINES FOR EACH COMPONENT
COMPLETE BUBBLE POINT TEMPERATURE CALCULATIONS ON EACH TRAY
CALCULATIONS STOP WHEN FEED TRAY CONCENTRATION IS ACHIEVED

5. LEWIS-MATHESON METHOD
REFINING VALUES
ADJUST THE FEED TRAY VALUES TO AN INTERMEDIATE VALUE
REVERSE THE CALCULATIONS
BUBBLE POINT FROM FEED TO TOP
DEW POINT FROM FEED TO BOTTOM
REVISE PRODUCT STREAMS BASED ON RESULTS AND REPEAT CALCULATIONS
SYSTEM WILL TYPICALLY CONVERGE
THESE CALCULATIONS
ARE FOR EQUILIBRIUM TRAYS
DO NOT ALLOW FOR VARIATION IN L/V VALUES

6. THIELE-GEDDES METHOD FIXES THE NUMBER OF STAGES
ASSUMES LOCATION OF FEED STAGE
ASSUMES A TEMPERATURE PROFILE
ASSUMES A VAPOR FLOW PROFILE
WORK WITH RATIOS ON EACH TRAY
Vn/D, Ln/D, Vm/B AND Lm/B
ITERATES FROM ENDS TO FEED

7. TRIDIAGONAL MATRICES BASED ON SIMULTANEOUS SOLUTION OF MESH EQUATIONS
MASS BALANCE MATRICES
EQUILIBRIUM CONDITIONS
ENTHALPY MATRICES

8. EQUATIONS USED IN TRI-DIAGONAL MATRICES
SCHEMATIC FOR n-STAGE COUNTERCURRENT CASCADE
Monroy-Loperena, R., .Simulation of Multicomponent Multistage Vapor-Liquid Separations. An Improved Algorithm Using the Wang-Henke Tridiagonal Matrix Method Ind. Eng. Chem. Res.; (Article); 2003; 42(1);

9. TRI-DIAGONAL MATRIX BALANCES
MATERIAL BALANCE
EQUILIBRIUM RELATIONSHIPS
SUMMATION OF MOLE FRACTIONS
HEAT BALANCE

10. BUBBLE POINT CALCULATIONS
INFORMATION FLOW BLOCK
Monroy-Loperena, R., .Simulation of Multicomponent Multistage Vapor-Liquid Separations. An Improved Algorithm Using the Wang-Henke Tridiagonal Matrix Method Ind. Eng. Chem. Res.; (Article); 2003; 42(1);

11. OTHER VARIATIONS ON TRI-DIAGONAL MATRIX METHOD
SUM OF RATES METHOD
APPLIES TO ABSORPTION & STRIPPING
CONVERGES WHEN BP METHOD FAILS
SIMULTANEOUS-CORRECTION PROCEDURES
REDUCES NUMBER OF VARIABLES BY 2N
USES A NEWTON-RAPHSON METHOD FOR CONVERGENCE

12. INSIDE-OUT METHOD
MESH EQUATIONS ARE SOLVED BY ESTIMATING VALUES FOR K AND ENTHALPY
INNER LOOPIS USED
TO SOLVE MATERIAL AND HEAT BALANCES
TO SOLVE DESIGN SPECIFICATIONS
OUTER LOOP
UPDATES ASSUMED THERMODYNAMIC VALUES
CHECKS FOR CONVERGENCE

13. CHEMDIST METHOD - PROSIM
A NEWTON-RAPHSON BASED METHOD WHICH CAN BE USED
FOR SYSTEMS WITH VLL EQUILIBRIUM
FOR NON-IDEAL SYSTEMS
FOR SYSTEMS WITH REACTION