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

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and <strong>the</strong> gas velocity is <strong>of</strong>ten represented in terms <strong>of</strong> a slip velocity factor ($s).<br />

In such reactor, <strong>the</strong> centrifugal forces are <strong>of</strong>ten more important than gravit<strong>at</strong>ional<br />

force. This slip velocity factor depends on <strong>the</strong> tube diameter, helix diameter,<br />

solids to gas r<strong>at</strong>io, particle size, gas velocity, etc. Thus for helical reactors:<br />

D(vs) = 9,D(vg)<br />

This equ<strong>at</strong>ion replaces equ<strong>at</strong>ion (5) in Table 2.<br />

This set <strong>of</strong> equ<strong>at</strong>ions (Table 2) also requires a large number <strong>of</strong> auxiliary,<br />

algebric equ<strong>at</strong>ions as component model parts; for example rel<strong>at</strong>ionships for fs, fw,<br />

hgp, hgw, E~~!, etc. These rel<strong>at</strong>ionships are taken from <strong>the</strong> liter<strong>at</strong>ure and <strong>the</strong><br />

details are given by Goyal (1).<br />

Fur<strong>the</strong>rmore, <strong>the</strong> model has been developed here for <strong>coal</strong> hydropyrolysis.<br />

Never<strong>the</strong>less, <strong>the</strong> formul<strong>at</strong>ions and <strong>the</strong> method <strong>of</strong> solution are flexible and can<br />

be easily manipul<strong>at</strong>ed for o<strong>the</strong>r entrained flow gasifiers, for example, pe<strong>at</strong><br />

gasific<strong>at</strong>ion.<br />

Solution Methodology<br />

The entrained flow hydropyrolysis reactor has been modeled in <strong>the</strong> preceding<br />

section by a set <strong>of</strong> fifty three simultaneous nonlinear first order ordinary<br />

differential equ<strong>at</strong>ions. The solutions to <strong>the</strong> formul<strong>at</strong>ions are sought in <strong>the</strong> form<br />

<strong>of</strong> time histories <strong>of</strong> quantities such as particle and gas temper<strong>at</strong>ure, <strong>the</strong>ir<br />

compositions, velocities, densities, and o<strong>the</strong>r derived quantities such as<br />

conversion etc. This system <strong>of</strong> equ<strong>at</strong>ions is very stiff primarily due to <strong>the</strong><br />

high temper<strong>at</strong>ure dependence <strong>of</strong> various hydropyrolysis reactor r<strong>at</strong>es (1). A<br />

computer program based on implicit backward differenti<strong>at</strong>ion formulas <strong>of</strong> orders<br />

one through five (Gear's method) has successfully been used here in solving<br />

this set <strong>of</strong> stiff equ<strong>at</strong>ions.<br />

Comparison With Experimental D<strong>at</strong>a<br />

Cities Service Research and Development Company has performed studies on <strong>the</strong><br />

hydropyrolysis <strong>of</strong> Montana Rosebud subbituminous <strong>coal</strong>, Western Kentucky No. 9/14<br />

bituminous <strong>coal</strong>, and North Dakota lignite. Experiments were conducted in a<br />

bench-scale system <strong>of</strong> 2-4 lb/hr nominal capacity entrained-downflow tubular<br />

reactor. Different types <strong>of</strong> reactors (free fall, vertically-entrained,<br />

helically-entrained) were used in this study. The reactor was mounted inside<br />

an electric furnace designed for iso<strong>the</strong>rmal oper<strong>at</strong>ion. Prehe<strong>at</strong>ed hydrogen and<br />

<strong>coal</strong> were mixed inside a high-velocity coaxial injector nozzle loc<strong>at</strong>ed near<br />

<strong>the</strong> entrance to produce very high he<strong>at</strong>ing r<strong>at</strong>es. The <strong>coal</strong>-hydrogen mixture<br />

moved to <strong>the</strong> reactor outlet where it was quenched to below 1000°F directly by<br />

a stream <strong>of</strong> cryogenically-cooled hydrogen, which termin<strong>at</strong>ed reactions. A more<br />

detailed description <strong>of</strong> <strong>the</strong> reactor system has been given by Hamshar et al. (7).<br />

The reactor and <strong>coal</strong> types, flow r<strong>at</strong>es, and oper<strong>at</strong>ing conditions used in<br />

different test runs have been summarized along with experimental results by<br />

Cities Service Research and Development Co. (6). Oper<strong>at</strong>ing conditions were<br />

varied in <strong>the</strong> nominal ranges <strong>of</strong> 1400°-17000F reactor temper<strong>at</strong>ure, 34-170 <strong>at</strong>m<br />

reactor pressure, 0.18-1.3 hydrogen/<strong>coal</strong> weight r<strong>at</strong>io, and 0.3-25 sec vapor<br />

residence time. A few runs utilized a 78/22 (vol.) mixture <strong>of</strong> hydrogen/<br />

methane feed gas; <strong>the</strong> remainder used high purity hydrogen. The reactor<br />

temper<strong>at</strong>ure was measured by a series <strong>of</strong> removable skin <strong>the</strong>rmocouples tacked along<br />

<strong>the</strong> wall <strong>of</strong> <strong>the</strong> reactor. However, <strong>the</strong>se measured temper<strong>at</strong>ure pr<strong>of</strong>iles have not<br />

been reported. Instead, <strong>the</strong> mix temper<strong>at</strong>ure, maximum gas temper<strong>at</strong>ure and<br />

equivalent iso<strong>the</strong>rmal temper<strong>at</strong>ure for each run have been reported.<br />

58

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