# Rigorous Steady-State Simulation of a Multicomponent Distillation Column

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This Demonstration simulates a multicomponent distillation column in steady-state. In order to describe the vapor-liquid equilibrium (VLE) relationships and to compute the vapor and liquid phase enthalpies, the Soave-Redlich-Kwong equation of state (SRK EOS) is used (Soave, 1972 and Nasri and Binous, 2007). Rigorous modeling is performed by solving both mass and energy balance equations. All steady-state results are found to agree perfectly with those obtained using HYSYS 3.2, a major process simulator by Aspen Technology, Inc. Consider a multicomponent mixture to be fed to a distillation column containing 27 theoretical stages, a total condenser, and a partial reboiler and operating at a pressure of 16.212 bar.

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Contributed by: Housam Binous and Zakia Nasri (December 2008)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The *Mathematica* built-in command used to solve the system of nonlinear algebraic equations is FindRoot. We have solved a system of 297 nonlinear algebraic equations in less than 1.8 seconds using an Intel® Core™ 2 DUO CPU T8300 at 2.4 GHz with 3 GB of memory.

References:

G. Soave, "Equilibrium Constants from a Modified Redlich-Kwong Equation of State," *Chemical Engineering Science*, 27(6), 1972 pp. 1197–1203.

Z. Nasri and H. Binous, "Applications of the Soave-Redlich-Kwong Equation of State Using *Mathematica*," *Journal of Chemical Engineering of Japan*, 40(6), 2007 pp. 534–538.

Y. S. Choe and W. L. Luyben, "Rigorous Dynamic Models of Distillation Columns," *Industrial and Engineering Chemistry Research*, 26(10), 1987 pp. 2158–2161.

Z. Nasri and H. Binous, "Rigorous Distillation Dynamics Simulations Using a Computer Algebra," *Computer Applications in Engineering Education*, 20(2), 2012 pp. 193–202.

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