TD T1 - CPGE Brizeux

TF= 273 K
SCSF
TC= 293 K TF= 273 K
TFT0= 293 K
T(t)P
C= 1,0·103kJ ·K−1
T(t)T(t) + dT
CdT
dt =e(t)P
e(t)e=T(t)
T(t)−TF
P
T0= 293 K
∆t= 6 h T0
F= 283 K
Φ(t) = a C(T(t)−TF)>
0
a
T(t)
dT
dt +a T =a TF
T(t)
T0
Fa
TC= 293 K e= 6
m1
T1,0= 373 K m2= 1,0 kg TF= 373 K
P0= 1,0·105Pa P0=cste
dt
δQ1δQ2
T2,f =TF

lFdm2
TF
−m1cdT1
T1= 0
T1,f m1
m1
T1,0TF
c= 4,18 kJ ·kg−1
lF= 330 kJ ·kg−1
S
m
γ=cp
cv
P0V0
x1,0x2,0Sx1,0
Sx2,0<< V0
x1(t)x2(t)
x1(t)x2(t)
x(t)
x(t)
12 dB
3dB
1−2−3−4−1
P1= 1 bar
P2= 100 bar
Tch =T3
P1
Tfr =T4=T1

wcp
qcd
qev
x4
sc,cd
sc,ev

bar h0kJ ·kg−1h00 kJ ·kg−1s0kJ ·K−1·kg−1s00 kJ ·K−1·kg−1
0,05 137,8 2561,6 0,4763 8,3960
10 762,6 2776,2 2,1382 6,5828
70 1267,4 2773,5 3,1219 5,8162
T= 306 K

T= 559 K
T= 306 K
v= 1,0·10−3m3·kg−1wiP
∆P= 70 bar
dh dh =T ds +vdP
1→2
2→3
3→4
4→1
bar K kJ ·kg−1kJ ·K−1·kg−1
1
2
3
4
T−s
x2h2
wiT
T3x3
qeC