HEMISKI Zbirka re{eni zada~i REAKTORI 3

Petti del. Kataliti~ki reaktor so fiksen sloj katalizator (PBR)
Programata vo POLYMATH gi vklu~uva ravenkata za
dizajn (4) i toplinskiot bilans (5) zaedno so brzinskiot izraz
(2) i izrazite za molskite koncentracii (1). Isto taka, vo
programata ja pi{uvame i kvadratnata ravenka (6). Se dodavaat
i izrazite za temperaturnite zavisnosti na konstantite. Se
dobivaat slednive rezultati (programa, rezultati i grafi~ki
prikaz):
POLYMATH Results
Calculated values of the DEQ variables
Variable initial value minimal value maximal value final value
W 0 0 15 15
X 0 0 0.7370304 0.7370304
CAo 0.271 0.271 0.271 0.271
FAo 5 5 5 5
To 450 450 450 450
T 450 450 1187.0304 1187.0304
k 0.5010696 0.5010696 515.51332 515.51332
K 2.5E+04 32.759106 2.5E+04 32.759106
CB 0 0 0.0599532 0.0599532
CA 0.271 0.0427821 0.271 0.0427821
R 0.0367991 9.705E-05 1.2217073 9.705E-05
A 6.098E+06 7989.9459 6.098E+06 7989.9459
B 1.22E+07 1.717E+04 1.22E+07 1.717E+04
Xe 0.9939255 0.737043 0.9939255 0.737043
ODE Report (RKF45)
Differential equations as entered by the user
[1] d(X)/d(W) = R/FAo
Explicit equations as entered by the user
[1] CAo = 0.271
[2] FAo = 5
[3] To = 450
[4] T = To+1000*X
[5] k = 3.56*(10^4)*exp(-5027/T)
[6] K = 25000*exp(-10.69*(T-To)/T)
[7] CB = CAo*X*To/T/2/(1-0.5*X)
[8] CA = CAo*(1-X)*To/T/(1-0.5*X)
[9] R = k*((CA^2)-(CB/K))
[10] A = 2*K*To*CAo
[11] B = (2*A)+T
[12] Xe = (B-(((B^2)-(2*A*B))^0.5))/B
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