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

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

25.04.2013 Views

Turkgodan et al. (18) studied the pore characteristics of several carbons, graphite, coke and charcoal. They concluded thdt about 1/2 of the volume is located in micropores and therefore not avdilable for reaction, Most of the internal surface area was located in pores in the micropore range. The pore vol unie, pore surface area, and effective di ffusi vi ty increased with conversion during internal oxidation, Dutta and Wen (16, 17) studied the reactivities of several raw coals and chars. They noted a change in the actual pore structures of a few samples at di Fferent conversions from scanning electron micrographs. A rate equation was proposed that incorporated the change of the relative available surface area during reaction. No measurements of this change were made. A rate expression, which includes the influence of a chemical and diffusion reaction controlling niechanisnis, is expressed where: c= dX dt rl s k c c02 (l-xc) Xc is the conversion of the solid S is the surface area available for reaction k is the reaction rate constant rl is the effectiveness factor is the concentration of C02 in gas phase cco2 t is time The effectiveness factor n is equal to the ratio of the reaction rate under diffusion-controlled conditions to that which would occur if the concentration of reactants were equal to the surface concentration. For a first order diffu- sion-controlled reaction the influence of pore-diffusion is given by equation 2) where : S is the specific surface k is the reaction rate constant rc is the radius of the particle De is the effective diffusivity The effectiveness factor n is a function of the effective modulus, $, which is dependent upon the effective diffusivity, D . The effective diffusivity and the surface area available for reaction chgnge during the reaction, 32 1)

I 1 This itidy be expressed as s = so f iXC) De = D h (X,) en 5) where So and De are the available surface area and effective diffusivity at zero convers?on, and f(Xc) and h(Xc) are functions of conversion, Xc. deterillination of these changing parameters and their influence on the overall reaction rate is the objective of this research. Effective Diffusi vi ty I. Theoretical Development of Model Experiinental determination of the effective diffusivity in coal is performed in a packed bed of coal particles with a carrier gas flowing through the bed. A pulse in the concentration of the adsorbate gas is introduced at the inlet of the packed bed. The mass transfer characteristics of the bed change the shape of the pulse as it passes through the bed. theoretical model describing the mass transfer in the bed is used to relate the unsteady state concentration response in the bed effluent to the original pulse input. By applying the model to the experimental data, the parameters of the model are determined. The model describing the mass transfer in the packed bed consists of unsteady state material balances in the packed bed and the coal particles. Equations (6-14) describe the mass transfer in the packed bed of particles and the boundary conditions. Material balance on coal particle Relati.on between adsorbed concentration and concentration of surface Boundary condi t ons q(rc, t) = KcC (rc. t) 3 (0, t) = 0 33 4) A The

I<br />

1<br />

This itidy be expressed as<br />

s = so f iXC)<br />

De = D h (X,)<br />

en<br />

5)<br />

where So and De are <strong>the</strong> available surface area and effective diffusivity<br />

<strong>at</strong> zero convers?on, and f(Xc) and h(Xc) are functions <strong>of</strong> conversion, Xc.<br />

deterillin<strong>at</strong>ion <strong>of</strong> <strong>the</strong>se changing parameters and <strong>the</strong>ir influence on <strong>the</strong><br />

overall reaction r<strong>at</strong>e is <strong>the</strong> objective <strong>of</strong> this research.<br />

Effective Diffusi vi ty<br />

I. Theoretical Development <strong>of</strong> Model<br />

Experiinental determin<strong>at</strong>ion <strong>of</strong> <strong>the</strong> effective diffusivity in <strong>coal</strong> is performed<br />

in a packed bed <strong>of</strong> <strong>coal</strong> particles with a carrier gas flowing through <strong>the</strong><br />

bed. A pulse in <strong>the</strong> concentr<strong>at</strong>ion <strong>of</strong> <strong>the</strong> adsorb<strong>at</strong>e gas is introduced<br />

<strong>at</strong> <strong>the</strong> inlet <strong>of</strong> <strong>the</strong> packed bed. The mass transfer characteristics <strong>of</strong><br />

<strong>the</strong> bed change <strong>the</strong> shape <strong>of</strong> <strong>the</strong> pulse as it passes through <strong>the</strong> bed.<br />

<strong>the</strong>oretical model describing <strong>the</strong> mass transfer in <strong>the</strong> bed is used to<br />

rel<strong>at</strong>e <strong>the</strong> unsteady st<strong>at</strong>e concentr<strong>at</strong>ion response in <strong>the</strong> bed effluent to<br />

<strong>the</strong> original pulse input. By applying <strong>the</strong> model to <strong>the</strong> experimental d<strong>at</strong>a,<br />

<strong>the</strong> parameters <strong>of</strong> <strong>the</strong> model are determined. The model describing <strong>the</strong> mass<br />

transfer in <strong>the</strong> packed bed consists <strong>of</strong> unsteady st<strong>at</strong>e m<strong>at</strong>erial balances<br />

in <strong>the</strong> packed bed and <strong>the</strong> <strong>coal</strong> particles. Equ<strong>at</strong>ions (6-14) describe <strong>the</strong><br />

mass transfer in <strong>the</strong> packed bed <strong>of</strong> particles and <strong>the</strong> boundary conditions.<br />

M<strong>at</strong>erial balance on <strong>coal</strong> particle<br />

Rel<strong>at</strong>i.on between adsorbed concentr<strong>at</strong>ion and concentr<strong>at</strong>ion <strong>of</strong> surface<br />

Boundary condi t<br />

ons<br />

q(rc, t) = KcC (rc. t)<br />

3 (0, t) = 0<br />

33<br />

4)<br />

A<br />

The

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