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the coking properties of coal at elevated pressures. - Argonne ...

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SIMULATION OF ENTRAINED FLOW HYDROPYROLYSIS REACTORS<br />

A. Goyal<br />

Institute <strong>of</strong> Gas Technology<br />

Chicago, Illinois 60616<br />

D. Gidaspow<br />

Chemical Engineering Department<br />

Illinois Institute <strong>of</strong> Technology<br />

Chicago, Illinois 60616<br />

The phenomena <strong>of</strong> <strong>coal</strong> pyrolysis and hydropyrolysis have become <strong>of</strong> considerable<br />

interest in recent years because <strong>of</strong> <strong>the</strong>ir significance in <strong>the</strong> efficient<br />

conversion <strong>of</strong> <strong>coal</strong>s to clean fuels. The proposed hydropyrolysis commercial<br />

reactors are usually based on <strong>the</strong> entrained flow concept in which <strong>coal</strong> particles<br />

are rapidly he<strong>at</strong>ed in a dilute phase by mixing with hot hydrogen (or a gas<br />

mixture rich in hydrogen).<br />

A wide vari<strong>at</strong>ion in <strong>the</strong> product distribution can<br />

be obtained in such reactors by manipul<strong>at</strong>ing temper<strong>at</strong>ure, residence time, and<br />

o<strong>the</strong>r oper<strong>at</strong>ing parameters. Ma<strong>the</strong>m<strong>at</strong>ical models incorpor<strong>at</strong>ing hydrodynamics,<br />

<strong>coal</strong> kinetics, he<strong>at</strong> transfer characteristics, etc. are needed for understanding<br />

<strong>the</strong> influence <strong>of</strong> design variables, feed m<strong>at</strong>erials, and process conditions on<br />

<strong>the</strong> reactor performance. The liter<strong>at</strong>ure is lacking in <strong>coal</strong> hydropyrolysis<br />

entrained flow reactor models. Such a model has been developed in this study.<br />

Ma<strong>the</strong>m<strong>at</strong>ical Formul<strong>at</strong>ion<br />

A one-dimensional ma<strong>the</strong>m<strong>at</strong>ical model has been formul<strong>at</strong>ed here. The physical<br />

system considered is an entrained flow hydropyrolysis reactor. Pulverized <strong>coal</strong><br />

mixes with <strong>the</strong> hot gas feed <strong>at</strong> <strong>the</strong> reactor entrance. As <strong>coal</strong> particles are<br />

carried by <strong>the</strong> gas, <strong>the</strong>ir temper<strong>at</strong>ure increases and hydropyrolysis takes place.<br />

The single <strong>coal</strong> particle hydropyrolysis kinetic model used in this study<br />

is described by Goyal (1). The model is primarily based on Johnson's kinetic<br />

model (2, 3, 4) supplemented by Suuberg's kinetic model (5) for rapid reactions.<br />

In this model, <strong>the</strong> <strong>coal</strong> is assumed to consist <strong>of</strong> eleven solid species while <strong>the</strong><br />

gas <strong>of</strong> nine species (Table 1). Gaseous species (CH,), represents gaseous heavy<br />

hydrocarbons while (cHM)b represents vaporized oils and tars.<br />

The kinetic model has been combined here with reactor flow model and he<strong>at</strong><br />

and mass transfer characteristics <strong>of</strong> <strong>the</strong> multiparticle system to derive a reactor<br />

model. Because <strong>of</strong> <strong>the</strong> significant amount <strong>of</strong> <strong>coal</strong> weight loss and gas gener<strong>at</strong>ion<br />

in such systems, hydrodynamics may also be very important.<br />

The equ<strong>at</strong>ions<br />

describing <strong>the</strong> system are given in Table 2. In this formul<strong>at</strong>ion, it is assumed<br />

th<strong>at</strong> <strong>the</strong> he<strong>at</strong> <strong>of</strong> reaction <strong>of</strong> <strong>the</strong> solid-gas phase reaction affects <strong>the</strong> solid<br />

temper<strong>at</strong>ure only while th<strong>at</strong> <strong>of</strong> occurring solely in <strong>the</strong> gas phase affects <strong>the</strong><br />

gas phase temper<strong>at</strong>ure only. Also, <strong>the</strong> extent <strong>of</strong> swelling <strong>of</strong> <strong>the</strong> <strong>coal</strong> particles<br />

is directly proportional to <strong>the</strong> extent <strong>of</strong> devol<strong>at</strong>iliz<strong>at</strong>ion. Fur<strong>the</strong>rmore, <strong>the</strong><br />

expression giving <strong>the</strong> gasific<strong>at</strong>ion r<strong>at</strong>e <strong>of</strong> <strong>the</strong> solid species CHx (semichar) is<br />

somewh<strong>at</strong> complex. This r<strong>at</strong>e is dependent on <strong>the</strong> time-temper<strong>at</strong>ure history <strong>of</strong> <strong>the</strong><br />

particle and involves a double integr<strong>at</strong>ion. The ma<strong>the</strong>m<strong>at</strong>ical manipul<strong>at</strong>ion<br />

performed to simplify <strong>the</strong> complexity resulted into several additional differential<br />

equ<strong>at</strong>ions, <strong>the</strong> details <strong>of</strong> which are given by Goyal (1).<br />

The solid species production r<strong>at</strong>e (Si) is given by equ<strong>at</strong>ion (18). The gas<br />

species production r<strong>at</strong>es can be rel<strong>at</strong>ed to <strong>the</strong> solid species production r<strong>at</strong>es (1).<br />

Fur<strong>the</strong>rmore, <strong>coal</strong> hydrogen<strong>at</strong>ion experiments in <strong>the</strong> labor<strong>at</strong>ory are <strong>of</strong>ten<br />

carried out in helical reactors (4, 6). The rel<strong>at</strong>ionship between <strong>the</strong> particle<br />

57

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