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Mathematical Modeling and Simulation for Production of MTBE

Mathematical Modeling and Simulation for Production of MTBE

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ABSTRACT<br />

In this thesis, theoretical investigations have been made concerning reactive<br />

distillation columns. The detailed steady state modeling, <strong>and</strong> simulation are made<br />

<strong>for</strong> two important oxygenates produced by reactive distillation columns, they are<br />

methyl tertiary butyl ether (<strong>MTBE</strong>) <strong>and</strong> ethyl tertiary butyl ether(ETBE).<br />

This study was per<strong>for</strong>med through several steps in order to construct <strong>and</strong> develop<br />

an improved steady state model based<br />

on recent manner <strong>of</strong> MESH equations ( Mass balance, Equilibrium, Summation<br />

<strong>of</strong> composition, <strong>and</strong> Heat balance) the reaction portion added to the mass <strong>and</strong><br />

energy balance.<br />

This model was developed to study the behavior <strong>of</strong> multi component non<br />

ideal mixture in reactive distillation. The set <strong>of</strong> algebraic equations governing<br />

steady state composition pr<strong>of</strong>ile in a reactive distillation column are solved by<br />

using Gausses elimination method.<br />

The developed model can be employed to simulate the reactive distillation<br />

operation. This model required the in advance specification <strong>of</strong> number <strong>of</strong> reactive<br />

<strong>and</strong> non-reactive trays, the reflux ratio, composition <strong>and</strong> flow rates <strong>of</strong> the feed,<br />

<strong>and</strong> heat duty to determine the result <strong>of</strong> the following:<br />

• The liquid <strong>and</strong> vapor composition pr<strong>of</strong>iles.<br />

• The temperature pr<strong>of</strong>ile.<br />

• The top product (distillate) flow rate, temperature, <strong>and</strong> composition.<br />

• The bottom product (reboiler) flow rate, temperature, <strong>and</strong> composition.<br />

• The reaction pr<strong>of</strong>iles <strong>for</strong> reactive trays.<br />

An analysis is per<strong>for</strong>med in order to show the impact on the reactive<br />

separation system by adding or subtracting either non-reactive or reactive<br />

separation stages, keeping constant number <strong>of</strong> total stages, <strong>and</strong> other variables<br />

such as feed ratio, catalyst weight per tray, location <strong>of</strong> feed, <strong>and</strong> reflux ratio.<br />

II

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