Page 482 - Elements of Chemical Reaction Engineering Ebook

Sec. 8.3 Nonisothermal Continuous-Flow Reactors 453
TABLE 8-2B. SOLUTION PROCEDURES FOR ADIABATIC PFRIPBR REACTOR
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A. Numerical Technique
Integrating the PFR mole balance,

(T8-2.10)

1. Set X = 0.
2. Calculate T using Equation (T8-2.9).
3. Calculate k using Equation (T8-2.3).
4. Calculate K, using Equation (T8-2.4).
5. Calculate To/T (gas phase).
6. Calculate -rA using Equation (T8-2.7).
7. Calculate (1 / -rAf .
8. If X is less than the X, specified, increment X (i.e., X,,.l = X, + AX ) and go to step
2.
9. Prepare table of Xvs. (ll-r,).
10. Use numerical integration formulas, for example,

(T8-2.11)
with

h=- x3
3
B. Ordlinary Differential Equation (ODE) Solver

(TS-2.12)

(T8-2.13)

(T8-2.14)

(T8-2.15)

5. Enter parameter values k,, E, R, K,, AHRx(TR), CpA, C,,, To, T,, T2.
6. Enter in irntial values X = 0, V = 0 and final values X = X, and I.' = V,.
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