HEMISKI Zbirka re{eni zada~i REAKTORI 3

POLYMATH Results
Calculated values of the DEQ variables
Variable initial value minimal value maximal value final value
t 0 0 2267 2267
X 0 0 0.7001029 0.7001029
T 613 567.49331 613 567.49331
k 0.0040239 2.134E-04 0.0040239 2.134E-04
ODE Report (RKF45)
Differential equations as entered by the user
[1] d(X)/d(t) = k*(1-X)
Explicit equations as entered by the user
[1] T = 613-65*X
[2] k = 0.0167*exp(35.2-22450/T)
v) Koga reaktorot raboti so razmena na toplina so konstanten
toplinski protok, negovata rabota e neizotermna neadijabatska.
Bidej}i }e se doveduva toplina, temperaturata }e
se menuva ‡ }e opa|a, no poblago otkolku za adijabatska rabota.
Ako toplinskite protoci se visoki, mo`e da se slu~i temperaturata
i da raste!
Ravenkata za dizajn e ista (ravenkata (44)), dodeka toplinskiot
bilans }e bide pretstaven so ravenkata (91):
58
dT
dt
Q
W
s ( H
~
V
C
r
)( r
smesa P,
smesa
A
) V
. (91)
Izraz za toplinskiot protok {to se dodava kon reakcionata
smesa ne e potreben, bidej}i e konstanten. Ovoj ~len vo
ravenkata se pojavuva so numeri~ka vrednost koja }e varira vo
ramkite Q = 1,261 – 37,95 kcal/s.
Kone~nata forma na toplinskiot bilans (91) }e ja dobieme
so soodvetni zameni:
dT
m
smesa
Q
~
C
~ ) ( H
r n
dt
m C
Ao
P, smesa smesa P,
smesa
nAo mAo
A Ao smesa
A
dX ;
/ M ; m m 227 kg;
M
385;