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HEMISKI Zbirka re{eni zada~i REAKTORI 3

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^etvrti del. Idealen ceven <strong>re</strong>aktor (PFR)<br />

To<br />

349,<br />

19 R 300 349,<br />

19 R<br />

T1<br />

<br />

.<br />

(16)<br />

( 1<br />

R)<br />

( 1<br />

R)<br />

Za p<strong>re</strong>smetkite, odnosno za <strong>re</strong>{avaweto na ravenkite (7)<br />

i (11) za razli~ni <strong>re</strong>cirkulacioni odnosi, se primenuva solverot<br />

za dife<strong>re</strong>ncijalni ravenki od POLYMATH.<br />

Za slu~ajot so R = 1 se dobi<strong>eni</strong> slednive <strong>re</strong>zultati:<br />

C A,<br />

izlez<br />

CA 1 2 1<br />

0,<br />

04 mol/l;<br />

R 1,<br />

0;<br />

TR<br />

349,<br />

19 K ;<br />

, 202;<br />

T 324,<br />

6 K;<br />

V 1978 litri .<br />

Eve kako izgledaat izve{tajot so <strong>re</strong>zultatite i grafi~kiot<br />

prikaz:<br />

POLYMATH Results<br />

Calculated values of the DEQ variables<br />

Variable initial value minimal value maximal value final value<br />

V 0 0 1978 1978<br />

Ca 2.02 0.0400184 2.02 0.0400184<br />

Caizlez 0.04 0.04 0.04 0.04<br />

Cao 4 4 4 4<br />

R 1 1 1 1<br />

v 600 600 600 600<br />

To 300 300 300 300<br />

Tizlez 349.19 349.19 349.19 349.19<br />

Ca1 2.02 2.02 2.02 2.02<br />

T1 324.595 324.595 324.595 324.595<br />

T 324.595 324.595 349.19033 349.19033<br />

k 0.2112103 0.2112103 2.8548875 2.8548875<br />

r 0.4266448 0.1142481 0.8793982 0.1142481<br />

D 2.3438703 1.1371413 8.7528825 8.7528825<br />

ODE Report (RKF45)<br />

Diffe<strong>re</strong>ntial equations as ente<strong>re</strong>d by the user<br />

[1] d(Ca)/d(V) = -r/v<br />

Explicit equations as ente<strong>re</strong>d by the user<br />

[1] Caizlez = 0.04<br />

[2] Cao = 4<br />

[3] R = 1<br />

[4] v = 300*(1+R)<br />

[5] To = 300<br />

[6] Tizlez = 349.19<br />

[7] Ca1 = (Cao+Caizlez*R)/(1+R)<br />

[8] T1 = (To+Tizlez*R)/(1+R)<br />

[9] T = T1+12.422*(Ca1-Ca)<br />

[10] k = 2.4*(10^15)*exp(-12000/T)<br />

[11] r = k*Ca<br />

[12] D = 1/r<br />

311

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