DISTILLATION DESIGN RIGOROUS METHODS

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

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

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

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

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

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

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); 175-182

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

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); 175-182

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

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

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