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HEMISKI Zbirka re{eni zada~i REAKTORI 3

HEMISKI Zbirka re{eni zada~i REAKTORI 3

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POLYMATH Results<br />

Calculated values of the DEQ variables<br />

[esti del. Industriski <strong>re</strong>aktori<br />

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

W 0 0 6600 6600<br />

X 0 0 0.273805 0.273805<br />

tetaI 0.2222 0.2222 0.2222 0.2222<br />

To 565.55032 565.55032 565.55032 565.55032<br />

CAo 72.33633 72.33633 72.33633 72.33633<br />

T 565.55032 565.55032 798.53776 798.5377<br />

K 2.7381906 0.7532669 2.7381906 0.7532669<br />

k 5.266E-08 5.266E-08 1.949E-06 1.949E-06<br />

R 2.756E-04 2.756E-04 0.0021888 0.0021888<br />

FAo 20 20 20 20<br />

Xeq 0.6233164 0.4646422 0.6233164 0.4646422<br />

v 0.2764862 0.2764862 0.3903891 0.3903891<br />

ODE Report (RKF45)<br />

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

[1] d(X)/d(W) = R/FAo<br />

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

[1] tetaI = 0.2222<br />

[2] To = (625+tetaI*298)/(1+tetaI)<br />

[3] CAo = 5*(10^4)/To/(1+tetaI)<br />

[4] T = To+(1040/(1+tetaI))*X<br />

[5] K = 145.3*exp(-8.395*(T-298)/T)<br />

[6] k = 0.0125*exp(-7000/T)<br />

[7] R = k*(CAo^2)*((To/T)^2)*(((1-X)^2)-((X^2)/K))<br />

[8] FAo = 20<br />

[9] Xeq = (K^0.5)/(1+(K^0.5))<br />

[10] v = (FAo/50000)*(1+tetaI)*T<br />

Komentar za dobi<strong>eni</strong>ot <strong>re</strong>zultat: So dodavawe laden<br />

vozduh na vlezot vo <strong>re</strong>aktorot se izbegnuva p<strong>re</strong>thodno ladewe na<br />

<strong>re</strong>aktantot vo toplinski razmenuva~ – edna operacija i eden u<strong>re</strong>d<br />

pomalku! Se poka`uva deka na vlezot vo <strong>re</strong>aktorot strujata na<br />

<strong>re</strong>aktantot t<strong>re</strong>ba da se me{a so struja laden vozduh so protok<br />

FI = FAo·0,2222 = 20·0,2222 = 4,444 mol/s. So ova raz<strong>re</strong>duvawe vleznata<br />

koncentracija na <strong>re</strong>aktantot se namaluva (72,336 mol/m 3 nasproti<br />

94,835 mol/m 3 za ~ist <strong>re</strong>aktant so p<strong>re</strong>thodno ladewe), {to<br />

implicira namaluvawe na brzinata na <strong>re</strong>akcijata! No, od druga<br />

strana, vleznata temperatura e povisoka (To = 565,55 K nasproti<br />

To = 527,23 K), so {to pak se zgolemuva brzinata na <strong>re</strong>akcijata!<br />

455

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