Developments in the Analysis of Multicomponent Distillation Problems

Holland, C. D.

doi:10.1515/revce.1982.1.2.121

Cited by 10 publications

(15 citation statements)

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“…The vapour phase is assumed to be ideal gas mixture. Note also, the vapour enthalpy and the enthalpy of vaporization coefficients are taken from Aspen HYSYS V9 package (HYSYS, 2016) and (Holland, 1981;Mackay et al, 2006;and VDI Atlas, 2010), respectively.…”

Section: Vapour-liquid Equilibrium (Vle)mentioning

confidence: 99%

Feasibility of integrated batch reactive distillation columns for the optimal synthesis of ethyl benzoate

Aqar

Rahmanian

Mujtaba

2017

Chemical Engineering and Processing: Process Intensification

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Section: Vapour-liquid Equilibrium (Vle)mentioning

confidence: 99%

Feasibility of integrated batch reactive distillation columns for the optimal synthesis of ethyl benzoate

Aqar

Rahmanian

Mujtaba

2017

Chemical Engineering and Processing: Process Intensification

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“…The modeling of a steady-state distillation column is based mainly on mass and energy balances; in this way, it is needed to understand the equipment layout to obtain such mathematical equations [8,12,13]. This model is based on the equations of the column called MESH (material balance equations, phase equilibrium equations, mole fractions summation equations and heat, which means energy balance equations).…”

Section: Modelingmentioning

confidence: 99%

“…They are relatively simple, but are restricted to ideal and nearly ideal mixtures. The methods of Lewis-Matheson [9], Thiele-Geddes [10] and theta [8] are based on equation tearing for solving simple distillation columns with one feed and two product stream. The bubble-point method receives this name because it tears the MESH equations in a way that a new set of stage temperatures is computed from bubblepoint equations [11].…”

Section: Initial Estimatesmentioning

confidence: 99%

“…The equation obtained by modeling the steady state of equilibrium distillation columns forms a set of highly nonlinear equations (MESH equations, obtained from mass and energy balances, phase equilibrium relations and mole fractions summations) that are normally solved all at the same time by Newton-Raphson and like-one method. Another, much used, type of method is that one which uses "tearing equations," that is, large sparse systems of algebraic equations are split into smaller systems and solved in a sequential form [7][8][9][10][11]; it makes the solution process simpler but, as a consequence, can occur some instability. So, the idea of the method being proposed aims to join the efficiency of Newton-Raphson-like methods with the simplicity of methods based on tearing equations, what is possible only with a very good initial estimates generating methodology.…”

Section: Introductionmentioning

confidence: 99%

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Steady‐State Modeling of Equilibrium Distillation

Steffen¹,

Silva²

2017

Distillation - Innovative Applications and Modeling

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In this chapter, an algorithm for the solution of the mathematical model featuring steady-state multicomponent distillation columns is analyzed and applied in the case study of the separation of hydrocarbon mixture. The development of the model has assumed each stage outlet streams in thermodynamic equilibrium in the phases liquid and vapor. The modeling of liquid was considerate and the non-ideality behavior was described by activity. The non-ideality of gas phase was calculated by Peng-Robinson equation of state. The model consists of a set of nonlinear algebraic equations. The algorithm and numerical procedure to solve a set of equations are presented in a sequential, general and very simple form. A methodology to produce the good initial guess was defined based on rude simplifications of the system. In the study case, the initial estimates generated by the method are very good, being only about 20% far from the simulation results and considering a tolerance of 10 -10 , the convergence was obtained with 28 iterations.Keywords: distillation, steady state, phase equilibria, modeling, simulation IntroductionThe analysis of a plant, by simulation, within the development of new processes may frequently show beforehand whether it is technically and economically viable. The simulation process in already operating plants may optimize the operational conditions for better quality products, decrease energy consumption and other losses in the process [1].The design of a multicomponent distillation column by phenomenological models is quite complex due to the large number of parameters and variables involved [2] and also usually, it is required to solve the set of nonlinear equations and differential equations. Mathematical modeling is a powerful and useful tool in the design of this type of equipment, it assists the © 2017 The Author(s). Licensee InTech. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.control and optimization column and therefore, the project and operating costs can be significantly reduced.The use of distillation as separation method is disseminated by the modern chemical industry. One can find it in almost all industrial chemical processes where liquid separation is required. Common commercial binary distillations are as follows: water/ethylene glycol, benzene/toluene, o-xylene/m-xylene, isopentane/n-pentane, ethylbenzene/styrene, water/acetic acid, ethanol/water, among others [2]. There are a lot of hydrocarbons mixtures that can be cited as commercial multicomponent distillation examples.With all the foregoing, it is clear the need to provide the theoretical study on a simplified model for evaluating the possible separation processes using distillation columns. The simplest mathematical model for a distillation column is obtained, considering that all stages outlet streams (liquid and v...

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“…We use the Newton-Raphson method modified by Broyden. Details are given elsewhere (Holland, 1981). Elementary iteration procedures are as follows:…”

Section: Computation Prodeduresmentioning

confidence: 99%