Исходные данные
Mср ≔ 5
R ≔ 188.9
v ≔ 18 °
m≔6
Pторм ≔ 2 ⋅ 10 6
k ≔ 1.21
Tторм ≔ 2700
tкон ≔ 5
T0 ≔ 250
solve
Tдоп - Tторм
→ 1475.0
――――＝ 0.50 ――
T0 - Tторм
‾‾‾‾‾
Tторм ⋅ m
= 0.00329378
Fкр ≔ ―――――――――
k+1
1
―――
―
⎛ 2 ⎞ 2 ((k - 1)) ⎛ k ⎞ 2
Pторм ⋅ ⎜――
⋅ ⎜―⎟
⎟
⎝k+1⎠
⎝R⎠
‾‾‾‾‾‾‾‾‾‾‾‾‾‾
k
uкр ≔ 2 ――⋅ R ⋅ Tторм = 747.32
k+1
rкр ≔
2
Fкр ≔ round ⎛⎝Fкр , 6⎞⎠ = 0.003294
uкр ≔ round ⎛⎝uкр , 4⎞⎠ = 747.32
‾‾‾‾
Fкр
= 0.032381
――
π
r1 ≔ 0.63 ⋅ rкр = 0.020412
r2 ≔ 3 ⋅ rкр = 0.0972
rкр ≔ round ⎛⎝rкр , 4⎞⎠ = 0.0324
r1 ≔ round ⎛⎝r1 , 4⎞⎠ = 0.0204
⎡ 0.1 ⎤
⎢ 0.3 ⎥
⎢
⎥
⎢ 0.5 ⎥
⎢ 0.7 ⎥
⎢ 1 ⎥
⎢ 1.5 ⎥
M≔⎢
⎥
2
⎢
⎥
⎢ 2.5 ⎥
⎢ 3 ⎥
⎢ 3.5 ⎥
⎢ 4 ⎥
⎢
⎥
⎣ 5 ⎦
r2 ≔ round ⎛⎝r2 , 4⎞⎠ = 0.0972
⎡ 0.019586 ⎤
⎢ 0.006822 ⎥
⎢
⎥
0.004465 ⎥
⎢
k+1
―――
⎢ 0.003623 ⎥
2 ((k - 1))
⎛
⎞
k-1
2
⎢ 0.003294 ⎥
⎜1 + ――⋅ M ⎟
⎢ 0.003964 ⎥
2
⎝
⎠
F ≔ Fкр ⋅ ―――――――
=
⎢
⎥
k+1
0.006164
―――
⎢
⎥
⎛ k + 1 ⎞ 2 ((k - 1))
0.011082 ⎥
⎢
M ⋅ ⎜――
⎟
⎢ 0.021513 ⎥
⎝ 2 ⎠
⎢ 0.043168 ⎥
⎢ 0.087157 ⎥
⎢
⎥
⎣ 0.341673 ⎦
⎡ 0.019586 ⎤
⎢ 0.006822 ⎥
⎢
⎥
⎢ 0.004465 ⎥
⎢ 0.003623 ⎥
⎢ 0.003294 ⎥
⎢ 0.003964 ⎥
F ≔ round ((F , 6)) = ⎢
⎥
0.006164
⎢
⎥
⎢ 0.011082 ⎥
⎢ 0.021513 ⎥
⎢ 0.043168 ⎥
⎢ 0.087157 ⎥
⎢
⎥
⎣ 0.341673 ⎦
⎛ k + 1 ⎞ 2 ((k - 1))
M ⋅ ⎜――
⎟
⎝ 2 ⎠
⎡ 0.079 ⎤
⎢ 0.0466 ⎥
⎢
⎥
⎢ 0.0377 ⎥
⎢ 0.034 ⎥
⎢ 0.0324 ⎥
2 ‾‾
F ⎢ 0.0355 ⎥
r ≔ ―= ⎢
⎥
π ⎢ 0.0443 ⎥
⎢ 0.0594 ⎥
⎢ 0.0828 ⎥
⎢ 0.1172 ⎥
⎢ 0.1666 ⎥
⎢
⎥
⎣ 0.3298 ⎦
⎢ 0.011082 ⎥
⎢ 0.021513 ⎥
⎢ 0.043168 ⎥
⎢ 0.087157 ⎥
⎢
⎥
⎣ 0.341673 ⎦
⎡ 0.079 ⎤
⎢ 0.0466 ⎥
⎢
⎥
⎢ 0.0377 ⎥
⎢ 0.034 ⎥
⎢ 0.0324 ⎥
⎢ 0.0355 ⎥
r ≔ round ((r , 4)) = ⎢
⎥
0.0443
⎢
⎥
⎢ 0.0594 ⎥
⎢ 0.0828 ⎥
⎢ 0.1172 ⎥
⎢ 0.1666 ⎥
⎢
⎥
⎣ 0.3298 ⎦
r2 + rкр - ⎛⎝rвх - r1⎞⎠
= 0.60374
hφн ≔ ――――――
r1 + r2
⎢ 0.011082 ⎥
⎢ 0.021513 ⎥
⎢ 0.043168 ⎥
⎢ 0.087157 ⎥
⎢
⎥
⎣ 0.341673 ⎦
sin ((v)) = 0.309017
rвх ≔ r = 0.079
1
rср ≔ r = 0.3298
12
hφн ≔ round ⎛⎝hφн , 6⎞⎠ = 0.60374
φн ≔ acos ⎛⎝hφн⎞⎠ = 52.862 deg
φн ≔ round ⎛⎝φн , 5⎞⎠ = 52.862 deg
φн ≔ 52.862
φн
φн
+ 2 ⋅ π ⋅ r2 ⋅ ――
= 0.1085
lд ≔ 2 ⋅ π ⋅ r1 ⋅ ――
360
360
⎡r ⎤
⎢ 6⎥
⎢r ⎥
⎢ 7⎥
⎢r ⎥
⎢ 8⎥
rсверхзв ≔ ⎢ r ⎥
⎢ 9⎥
⎢r ⎥
⎢ 10 ⎥
⎢r ⎥
⎢ 11 ⎥
⎢r ⎥
⎣ 12 ⎦
lд ≔ round ⎛⎝lд , 5⎞⎠ = 0.1085
⎡ 0.01 ⎤
⎢ 0.0385 ⎥
⎢
⎥
⎡ 0.01 ⎤
rсверхзв - rкр ⎢ 0.0874 ⎥
⎢ 0.0385 ⎥
lс ≔ ――――= ⎢ 0.1631 ⎥
⎢
⎥
sin ((v))
⎢ 0.2744 ⎥
⎢ 0.0874 ⎥
⎢ 0.4343 ⎥ l ≔ round ⎛l , 4⎞ = 0.1631
⎥
⎝с ⎠ ⎢
⎢
⎥ с
⎢ 0.2744 ⎥
⎣ 0.9624 ⎦
⎢ 0.4343 ⎥
⎢
⎥
⎣ 0.9624 ⎦
lц ≔ 3 ⋅ rвх = 0.237
lц ≔ round ⎛⎝lц , 4⎞⎠ = 0.237
⎡ 0.00954 ⎤
⎢ 0.03662 ⎥
⎢
⎥
rсверхзв - rкр ⎢ 0.0831 ⎥
xс ≔ ――――= ⎢ 0.15512 ⎥
tan ((v))
⎢ 0.26099 ⎥
⎢ 0.41303 ⎥
⎢
⎥
⎣ 0.9153 ⎦
⎡r ⎤
⎢ 2⎥
⎢r ⎥
3
rдозв ≔ ⎢ ⎥
⎢r ⎥
⎢ 4⎥
⎢r ⎥
⎣ 5⎦
⎡ 0.00954 ⎤
⎢ 0.03662 ⎥
⎢
⎥
⎢ 0.0831 ⎥
xс ≔ round ⎛⎝xс , 6⎞⎠ = ⎢ 0.15512 ⎥
⎢ 0.26099 ⎥
⎢ 0.41303 ⎥
⎢
⎥
⎣ 0.9153 ⎦
⎡ 0.0466 ⎤
⎢ 0.0377 ⎥
rдозв ≔ round ⎛⎝rдозв , 5⎞⎠ = ⎢
⎥
⎢ 0.034 ⎥
⎣ 0.0324 ⎦
⎡ 0.85391 ⎤
r2 - ⎛⎝rдозв - rкр⎞⎠ ⎢ 0.94547 ⎥
hφ ≔ ―――――= ⎢
⎥
r2
⎢ 0.98354 ⎥
⎣1
⎦
⎡ 31.36 ⎤
180 ⎢ 19.009 ⎥
φ ≔ acos ⎛⎝hφ⎞⎠ ⋅ ――
=⎢
⎥
π
⎢ 10.41 ⎥
⎣ 0
⎦
⎡ 0.85391 ⎤
⎢ 0.94547 ⎥
hφ ≔ round ⎛⎝hφ , 5⎞⎠ = ⎢
⎥
⎢ 0.98354 ⎥
⎣1
⎦
⎡ 31.36 ⎤
⎢ 19.009 ⎥
φ ≔ round ((φ , 5)) = ⎢
⎥
⎢ 10.41 ⎥
⎣ 0
⎦
⎡ 0.0553 ⎤
φн
φн - φ ⎢ 0.07625 ⎥
+ 2 ⋅ π ⋅ r2 ⋅ ―――
lрд ≔ 2 ⋅ π ⋅ r1 ⋅ ――
=⎢
⎥
360
360
⎢ 0.09084 ⎥
⎣ 0.1085 ⎦
⎡ 0.2923 ⎤
⎢ 0.31325 ⎥
lр ≔ lц + lрд = ⎢
⎥
⎢ 0.32784 ⎥
⎣ 0.3455 ⎦
⎡ 0.0553 ⎤
⎢ 0.0763 ⎥
lрд ≔ round ⎛⎝lрд , 5⎞⎠ = ⎢
⎥
⎢ 0.0908 ⎥
⎣ 0.1085 ⎦
⎡ 0.2923 ⎤
⎢ 0.31325 ⎥
lр ≔ round ⎛⎝lр , 5⎞⎠ = ⎢
⎥
⎢ 0.32784 ⎥
⎣ 0.3455 ⎦
⎡ 21.502 ⎤
⎢ 33.853 ⎥
φн - φ = ⎢
⎥
⎢ 42.452 ⎥
⎣ 52.862 ⎦
⎡ sin ((21.502 °)) ⎤ ⎡ 0.367 ⎤
⎢ sin ((33.853 °)) ⎥ ⎢ 0.557 ⎥
B≔⎢
=
⎥
(
)⎥ ⎢
⎢ sin (42.452 °) ⎥ ⎢ 0.675 ⎥
⎣ sin ((52.862 °)) ⎦ ⎣ 0.797 ⎦
⎡
⎤
lц
⎢
⎥
lц + xд
⎢
⎥
1
⎢
⎥
⎢ lц + xд2 ⎥
⎢
⎥ ⎡ 0.237 ⎤
⎢ lц + xд3 ⎥ ⎢ 0.28 ⎥
⎥
⎢
⎥ ⎢
⎢ lц + xд4 ⎥ ⎢ 0.303 ⎥
⎢
⎥ ⎢ 0.316 ⎥
⎢ lц + xд + xс ⎥ ⎢ 0.331 ⎥
4
1
⎢
⎥ ⎢ 0.34 ⎥
x0 ≔ ⎢ l + x + x ⎥ = ⎢
⎥
ц
д4
с2
0.367
⎥
⎢
⎥ ⎢
⎢ lц + xд + xс ⎥ ⎢ 0.414 ⎥
4
3⎥
⎢ 0.486 ⎥
⎢
⎢ l + x + x ⎥ ⎢ 0.592 ⎥
д4
с4
⎢ ц
⎥ ⎢ 0.744 ⎥
⎥
⎢l +x +x ⎥ ⎢
д4
с5 ⎥ ⎣ 1.246 ⎦
⎢ ц
⎢
⎥
⎢ lц + xд4 + xс6 ⎥
⎢
⎥
⎢ lц + xд4 + xс7 ⎥
⎣
⎦
⎡
⎤
lц
⎢
⎥
l +l
⎢ ц рд1 ⎥
⎢
⎥
⎢ lц + lрд2 ⎥
⎢
⎥ ⎡ 0.237 ⎤
⎢ lц + lрд3 ⎥ ⎢ 0.292 ⎥
⎥
⎢
⎥ ⎢
⎢ lц + lрд4 ⎥ ⎢ 0.313 ⎥
⎢
⎥ ⎢ 0.328 ⎥
⎢ lц + lд + lс ⎥ ⎢ 0.346 ⎥
1
⎢
⎥ ⎢ 0.356 ⎥
l≔⎢l +l +l ⎥=⎢
⎥
ц
д
с2
0.384
⎥
⎢
⎥ ⎢
⎢ lц + lд + lс ⎥ ⎢ 0.433 ⎥
3⎥
⎢ 0.509 ⎥
⎢
⎢ l + l + l ⎥ ⎢ 0.62 ⎥
⎢ ц д с4 ⎥ ⎢ 0.78 ⎥
⎥
⎢l +l +l ⎥ ⎢
⎢ ц д с5 ⎥ ⎣ 1.308 ⎦
⎢
⎥
⎢ lц + lд + lс6 ⎥
⎢
⎥
⎢ lц + lд + lс7 ⎥
⎣
⎦
Pторм
ρторм ≔ ―――= 3.9213
R ⋅ Tторм
⎡ 0.043 ⎤
⎢ 0.066 ⎥
xд ≔ ⎛⎝r1 + r2⎞⎠ ⋅ B = ⎢
⎥
⎢ 0.079 ⎥
⎣ 0.094 ⎦
⎡ 0.237 ⎤
⎢ 0.28 ⎥
⎢
⎥
⎢ 0.303 ⎥
⎢ 0.316 ⎥
⎢ 0.331 ⎥
⎢ 0.34 ⎥
x0 ≔ round ⎛⎝x0 , 6⎞⎠ = ⎢
⎥
0.367
⎢
⎥
⎢ 0.414 ⎥
⎢ 0.486 ⎥
⎢ 0.592 ⎥
⎢ 0.744 ⎥
⎢
⎥
⎣ 1.246 ⎦
⎡ 0.237 ⎤
⎢ 0.2923 ⎥
⎢
⎥
⎢ 0.3133 ⎥
⎢ 0.3278 ⎥
⎢ 0.3455 ⎥
⎢ 0.3555 ⎥
l ≔ round ((l , 5)) = ⎢
⎥
0.384
⎢
⎥
⎢ 0.4329 ⎥
⎢ 0.5086 ⎥
⎢ 0.6199 ⎥
⎢ 0.7798 ⎥
⎢
⎥
⎣ 1.3079 ⎦
Pторм
ρторм ≔ ―――= 3.9213
R ⋅ Tторм
ρторм ≔ round ⎛⎝ρторм , 4⎞⎠ = 3.9213
⎡ 1.987943 ⋅ 10 6 ⎤
⎢
6 ⎥
⎢ 1.894496 ⋅ 10 ⎥
⎢ 1.722623 ⋅ 10 6 ⎥
⎢ 1.497911 ⋅ 10 6 ⎥
⎢
6 ⎥
⎢ 1.125073 ⋅ 10 ⎥
Pторм
⎢ 5.892807 ⋅ 10 5 ⎥
=
P ≔ ―――――――
⎢ 2.651912 ⋅ 10 5 ⎥
k
――
⎢
⎥
k-1
5
⎛
k-1
2⎞
1.092565
⋅
10
⎢
⎥
1
+
⋅
M
――
⎜
⎟
⎢ 4.328154 ⋅ 10 4 ⎥
2
⎝
⎠
⎢
4 ⎥
⎢ 1.705271 ⋅ 10 3 ⎥
⎢ 6.825871 ⋅ 10 ⎥
⎢⎣ 1.197707 ⋅ 10 3 ⎥⎦
⎡ 2.6972 ⋅ 10 3 ⎤
⎢
3 ⎥
⎢ 2.6747 ⋅ 10 ⎥
⎢ 2.6309 ⋅ 10 3 ⎥
⎢ 2.5679 ⋅ 10 3 ⎥
⎢
3 ⎥
⎢ 2.4434 ⋅ 10 ⎥
3
Tторм
⎢
⎥
T ≔ ―――――= ⎢ 2.184 ⋅ 10 3 ⎥
⎛
k-1
1.9014 ⋅ 10
2⎞
⎥
⎜1 + ――⋅ M ⎟ ⎢
3
2
⎝
⎠ ⎢ 1.6302 ⋅ 10 ⎥
⎢ 1.3882 ⋅ 10 3 ⎥
⎢
3 ⎥
⎢ 1.181 ⋅ 10 3 ⎥
⎢ 1.0075 ⋅ 10 ⎥
⎢⎣ 744.8276
⎥⎦
⎡ 3.9018 ⎤
⎢ 3.7495 ⎥
⎢
⎥
⎢ 3.4661 ⎥
⎢ 3.088 ⎥
⎢ 2.4375 ⎥
⎢ 1.4283 ⎥
ρторм
ρ ≔ ―――――――
=
⎢
⎥
1
0.7383
――
⎢
⎥
k-1
⎛
0.3548 ⎥
k-1
2⎞
⎢
⎜1 + ――⋅ M ⎟
⎢ 0.1651 ⎥
2
⎝
⎠
⎢ 0.0764 ⎥
⎢ 0.0359 ⎥
⎢
⎥
⎣ 0.0085 ⎦
⎡ 1.987943 ⋅ 10 6 ⎤
⎢
6 ⎥
⎢ 1.894496 ⋅ 10 ⎥
⎢ 1.722623 ⋅ 10 6 ⎥
⎢ 1.497911 ⋅ 10 6 ⎥
⎢
6 ⎥
⎢ 1.125073 ⋅ 10 ⎥
⎢ 5.892807 ⋅ 10 5 ⎥
P ≔ round ((P , 6)) = ⎢
2.651912 ⋅ 10 5 ⎥
⎢
⎥
5
⎢ 1.092565 ⋅ 10 ⎥
⎢ 4.328154 ⋅ 10 4 ⎥
⎢
4 ⎥
⎢ 1.705271 ⋅ 10 3 ⎥
⎢ 6.825871 ⋅ 10 ⎥
⎢⎣ 1.197707 ⋅ 10 3 ⎥⎦
⎡ 2.6972 ⋅ 10 3 ⎤
⎢
3 ⎥
⎢ 2.6747 ⋅ 10 ⎥
⎢ 2.6309 ⋅ 10 3 ⎥
⎢ 2.5679 ⋅ 10 3 ⎥
⎢
3 ⎥
⎢ 2.4434 ⋅ 10 ⎥
3
⎢
⎥
T ≔ round ((T , 6)) = ⎢ 2.184 ⋅ 10 3 ⎥
1.9014 ⋅ 10
⎢
⎥
3
⎢ 1.6302 ⋅ 10 ⎥
⎢ 1.3882 ⋅ 10 3 ⎥
⎢
3 ⎥
⎢ 1.181 ⋅ 10 3 ⎥
⎢ 1.0075 ⋅ 10 ⎥
⎢⎣ 744.8276
⎥⎦
⎡ 3.9018 ⎤
⎢ 3.7495 ⎥
⎢
⎥
⎢ 3.4661 ⎥
⎢ 3.088 ⎥
⎢ 2.4375 ⎥
⎢ 1.4283 ⎥
ρ ≔ round ((ρ , 6)) = ⎢
⎥
0.7383
⎢
⎥
⎢ 0.3548 ⎥
⎢ 0.1651 ⎥
⎢ 0.0764 ⎥
⎢ 0.0359 ⎥
⎢
⎥
⎣ 0.0085 ⎦
⎡ 785.168 ⎤
⎢ 781.894 ⎥
⎢
⎥
⎢ 775.468 ⎥
⎢ 766.119 ⎥
⎢ 747.325 ⎥
⎢ 706.541 ⎥
a ≔ ‾‾‾‾‾‾
k⋅R⋅T =⎢
⎥
659.244
⎢
⎥
⎢ 610.418 ⎥
⎢ 563.288 ⎥
⎢ 519.552 ⎥
⎢ 479.87 ⎥
⎢
⎥
⎣ 412.607 ⎦
⎡ 78.517
⎤
⎢ 234.568
⎥
⎢
⎥
⎢ 387.734
⎥
⎢ 536.283
⎥
⎢ 747.325
⎥
――――→ ⎢ 1.06 ⋅ 10 3 ⎥
u ≔ M ⋅ ‾‾‾‾‾‾
k ⋅ R ⋅ T = ⎢ 1.318 ⋅ 10 3 ⎥
⎢
⎥
⎢ 1.526 ⋅ 10 3 ⎥
⎢
⎥
1.69 ⋅ 10 3
⎢
⎥
3
⎢ 1.818 ⋅ 10 ⎥
⎢ 1.919 ⋅ 10 3 ⎥
⎢
3 ⎥
⎣ 2.063 ⋅ 10 ⎦
⎡ 78.517
⎤
⎢ 390.947
⎥
⎢
⎥
⎢ 387.734
⎥
⎢ 536.283
⎥
⎢ 747.325
⎥
⎢ 1.06 ⋅ 10 3 ⎥
⎡ 2.7 ⋅ 10 3 ⎤
u ≔ round ((u , 5)) = ⎢ 1.318 ⋅ 10 3 ⎥
⎢
⎥
⎢
3 ⎥
⎢ 1.526 ⋅ 10 3 ⎥
⎢ 2.697 ⋅ 10 ⎥
⎢
⎥
⎢ 2.692 ⋅ 10 3 ⎥
1.69 ⋅ 10 3
⎢
⎥
⎢ 2.685 ⋅ 10 3 ⎥
3
⎢ 1.818 ⋅ 10 ⎥
⎢
⎥
2.672 ⋅ 10 3 ⎥
⎢ 1.919 ⋅ 10 3 ⎥
⎢
―――――――→
⎢
⎛
⎞ ⎢ 2.643 ⋅ 10 3 ⎥
3 ⎥
k-1
⎣ 2.063 ⋅ 10 ⎦
Tе ≔ T ⋅ ⎜1 + ――⋅ 0.89 ⋅ M 2 ⎟ = ⎢
2
2.612 ⋅ 10 3 ⎥
⎝
⎠
⎢
⎥
3
⎢ 2.582 ⋅ 10 ⎥
⎢ 2.556 ⋅ 10 3 ⎥
⎢
3 ⎥
Tе.ср ≔ mean ⎛⎝Tе⎞⎠ = 2.614 ⋅ 10 3
⎢ 2.533 ⋅ 10 3 ⎥
⎢ 2.514 ⋅ 10 ⎥
⎢⎣ 2.485 ⋅ 10 3 ⎥⎦
M
0.1
0.3
0.5
0.7
1
1.5
2
2.5
3
3.5
4
5
материал ХН80ТБЮ
м2
aмат ≔ 3.2 ⋅ 10 -6 ――ρмат ≔ 8250
c
⎛⎝Tпл + T0⎞⎠
Вт
λмат ≔ 21――
= 822.5
Tw ≔ ――――
2
м⋅К
λ
Tпл ≔ 1395
⎡ 12.795 ⎤
⎢ 12.193 ⎥
⎢
⎥
⎢ 11.087 ⎥
⎢ 9.641 ⎥
⎢ 7.241 ⎥
⎢ 3.793 ⎥
P
ρw ≔ ―― = ⎢
⎥
R ⋅ Tw ⎢ 1.707 ⎥
⎢ 0.703 ⎥
⎢ 0.279 ⎥
⎢ 0.11 ⎥
⎢ 0.044 ⎥
⎢
⎥
⎣ 0.008 ⎦
⎡ l -0 ⎤
⎢ 1
⎥
⎢ l -l ⎥
⎢ 2 1 ⎥
⎢ l -l ⎥ ⎡
⎤
⎢ 3 2 ⎥ ⎢ 0.237 ⎥
⎢ l - l ⎥ ⎢ 0.0553 ⎥
⎢ 4 3 ⎥ ⎢ 0.021 ⎥
⎢ l - l ⎥ ⎢ 0.0146 ⎥
⎢ 5 4 ⎥ ⎢
0.0177 ⎥
⎢ l -l ⎥ ⎢
⎥
6
5
⎥ = ⎢ 0.01 ⎥
Δl ≔ ⎢
⎢ l - l ⎥ ⎢ 0.0285 ⎥
⎢ 7 6 ⎥ ⎢ 0.0489 ⎥
⎢ l - l ⎥ ⎢ 0.0757 ⎥
8
7
⎢
⎥ ⎢
⎥
⎢ l9 - l8 ⎥ ⎢ 0.1113 ⎥
⎢
⎥ ⎢ 0.1599 ⎥
⎢ l10 - l9 ⎥ ⎣ 0.5281 ⎦
⎢
⎥
⎢ l11 - l10 ⎥
⎢
⎥
⎢ l12 - l11 ⎥
⎣
⎦
⎡ 42.076 ⎤
⎢ 103.211 ⎥
⎢
⎥
⎢ 71.414 ⎥
⎢ 75.485 ⎥
―――→
⎢ 74.388 ⎥
5
― ⎢
61.951 ⎥
4
Y ≔ ρw ⋅ u ⋅ r = ⎢
⎥
45.721
⎢
⎥
⎢ 31.468 ⎥
⎢ 20.91 ⎥
⎢ 13.683 ⎥
⎢ 8.973 ⎥
⎢
⎥
ρco2 ≔ 0.661
Cp.co2 ≔ 1170
Prсо2 ≔ 0.72
Cpмат ≔ 0.564
со2 ≔ 5.51 ⋅ 10
-2
Вт
――
м⋅К
μco2 ≔ 33.76 ⋅ 10 -6
νсо2 ≔ 51.07 ⋅ 10 -6
aco2 ≔ 71.8 ⋅ 10 -6
⎡ 0.237 ⎤
⎢ 0.0553 ⎥
⎢
⎥
⎢ 0.021 ⎥
⎢ 0.0146 ⎥
⎢ 0.0177 ⎥
⎢ 0.01 ⎥
Δl ≔ round ((Δl , 6)) = ⎢
⎥
0.0285
⎢
⎥
⎢ 0.0489 ⎥
⎢ 0.0757 ⎥
⎢ 0.1113 ⎥
⎢ 0.1599 ⎥
⎢
⎥
⎣ 0.5281 ⎦
⎡ 42.076 ⎤
⎢ 103.211 ⎥
⎢
⎥
⎢ 71.414 ⎥
⎢ 75.485 ⎥
⎢ 74.388 ⎥
⎢ 61.951 ⎥
Y ≔ round ((Y , 5)) = ⎢
⎥
45.721
⎢
⎥
⎢ 31.468 ⎥
⎢ 20.91 ⎥
⎢
⎥
м2
――
c
⎢ 103.211 ⎥
⎢
⎥
⎢ 71.414 ⎥
⎢ 75.485 ⎥
―――→
⎢ 74.388 ⎥
5
― ⎢
61.951 ⎥
4
Y ≔ ρw ⋅ u ⋅ r = ⎢
⎥
45.721
⎢
⎥
⎢ 31.468 ⎥
⎢ 20.91 ⎥
⎢ 13.683 ⎥
⎢ 8.973 ⎥
⎢
⎥
⎣ 3.975 ⎦
⎡ 42.076 ⎤
⎢ 103.211 ⎥
⎢
⎥
⎢ 71.414 ⎥
⎢ 75.485 ⎥
⎢ 74.388 ⎥
⎢ 61.951 ⎥
Y ≔ round ((Y , 5)) = ⎢
⎥
45.721
⎢
⎥
⎢ 31.468 ⎥
⎢ 20.91 ⎥
⎢ 13.683 ⎥
⎢ 8.973 ⎥
⎢
⎥
⎣ 3.975 ⎦
⎡
⎤
Y ⋅ Δl
1
1
⎢
⎥
⎛Y + Y ⎞ ⎥
⎢
2⎠
⎢ Δl ⋅ ⎝ 1
⎥
―――
⎢
⎥
2
2
⎢
⎛Y + Y ⎞ ⎥
⎢
3⎠ ⎥
⎝ 2
⎢ Δl3 ⋅ ――― ⎥
2
⎢
⎥
⎛Y + Y ⎞ ⎥
⎢
4⎠
⎝ 3
⎢ Δl ⋅ ―――
⎥
4
⎢
⎥
2
⎢
⎛Y + Y ⎞ ⎥ ⎡ 9.972 ⎤
5⎠ ⎥
⎢
⎝ 4
⎢
⎥
⎢ Δl5 ⋅ ―――
⎥ ⎢ 4.017 ⎥
2
1.829 ⎥
⎢
⎥
⎛Y + Y ⎞ ⎥ ⎢
⎢
6⎠
⎢ 1.072 ⎥
⎝ 5
⎢ Δl ⋅ ―――
⎥ ⎢ 1.323 ⎥
6
2
⎢
⎥ ⎢
⎥
⎛Y + Y ⎞ ⎥ = ⎢ 0.682 ⎥
S≔⎢
7⎠
⎝ 6
⎢
⎥ ⎢ 1.534 ⎥
Δl ⋅ ―――
⎢
⎥ ⎢ 1.887 ⎥
7
2
⎢
⎛Y + Y ⎞ ⎥ ⎢ 1.983 ⎥
⎢
8⎠ ⎥
⎢
⎥
⎝ 7
⎢ Δl8 ⋅ ――― ⎥ ⎢ 1.925 ⎥
2
⎢
⎥ ⎢ 1.811 ⎥
⎛Y + Y ⎞ ⎥ ⎣ 3.419 ⎦
⎢
9⎠
⎝ 8
⎢ Δl ⋅ ―――
⎥
9
⎢
⎥
2
⎢
⎛Y + Y ⎞ ⎥
10⎠ ⎥
⎢
⎝ 9
Δl
⋅
――――
⎢ 10
⎥
2
⎢
⎥
⎛Y + Y ⎞ ⎥
⎢
11⎠
⎝ 10
⎢ Δl ⋅ ――――
⎥
2
⎢ 11
⎥
⎢
⎛Y + Y ⎞ ⎥
12⎠ ⎥
⎝ 11
⎢
⎢⎣ Δl12 ⋅ ――――
⎥⎦
2
⎡ 9.972 ⎤
⎢ 4.017 ⎥
⎢
⎥
⎢ 1.829 ⎥
⎢ 1.072 ⎥
⎢ 1.323 ⎥
⎢ 0.682 ⎥
S ≔ round ((S , 5)) = ⎢
⎥
1.534
⎢
⎥
⎢ 1.887 ⎥
⎢ 1.983 ⎥
⎢ 1.925 ⎥
⎢ 1.811 ⎥
⎢
⎥
⎣ 3.419 ⎦
i ≔ 1 ‥ 12
⎡ 9.972 ⎤
⎢ 4.017 ⎥
⎢
⎥
⎢ 1.829 ⎥
⎢ 1.072 ⎥
S
⎢ 1.323 ⎥
i
⎢ 0.682 ⎥
1 ⌠
― Y dS = ⎢
⎥
i
1.534
Y ⎮
⎢
⎥
i ⌡
0
⎢ 1.887 ⎥
⎢ 1.983 ⎥
⎢ 1.925 ⎥
⎢ 1.811 ⎥
⎢
⎥
⎣ 3.419 ⎦
⎡ 2.967 ⋅ 10 8 ⎤
⎢
8 ⎥
⎢ 5.672 ⋅ 10 ⎥
⎢ 2.329 ⋅ 10 8 ⎥
⎢ 1.642 ⋅ 10 8 ⎥
⎢
8 ⎥
―――→ ⎢ 2.121 ⋅ 10 ⎥
⎛⎝ρw ⋅ u ⋅ xэф⎞⎠ ⎢ 8.122 ⋅ 10 7 ⎥
Re ≔ ――――= ⎢
μco2
1.022 ⋅ 10 8 ⎥
⎢
⎥
7
⎢ 5.998 ⋅ 10 ⎥
⎢ 2.765 ⋅ 10 7 ⎥
⎢
7 ⎥
⎢ 1.138 ⋅ 10 6 ⎥
⎢ 4.523 ⋅ 10 ⎥
⎢⎣ 1.611 ⋅ 10 6 ⎥⎦
⎡ 9.972 ⎤
⎢ 4.017 ⎥
⎢
⎥
⎢ 1.829 ⎥
⎢ 1.072 ⎥
⎢ 1.323 ⎥
⎢ 0.682 ⎥
xэф ≔ ⎢
⎥
1.534
⎢
⎥
⎢ 1.887 ⎥
⎢ 1.983 ⎥
⎢ 1.925 ⎥
⎢ 1.811 ⎥
⎢
⎥
⎣ 3.419 ⎦
⎡ 9.581 ⋅ 10 4 ⎤
⎢
5 ⎥
⎢ 1.611 ⋅ 10 ⎥
⎢ 7.921 ⋅ 10 4 ⎥
⎢ 6.009 ⋅ 10 4 ⎥
⎢
⎥
7.426 ⋅ 10 4 ⎥
⎢
―――――――――
―
―
―
―
―
―
―
→
0.11
⎛ Tw ⎞ 0.4 ⎛
k-1
⎢ 3.499 ⋅ 10 4 ⎥
2⎞
Nu ≔ 0.0296 ⋅ Re 0.8 Prсо2 0.43 ⎜――
⎟ ⋅ ⎜1 + ――⋅ 0.89 ⋅ M ⎟ = ⎢
2
4.285 ⋅ 10 4 ⎥
⎝
⎠
⎝ Tе ⎠
⎢
⎥
4
⎢ 2.855 ⋅ 10 ⎥
⎢ 1.569 ⋅ 10 4 ⎥
⎡ 9.581 ⋅ 10 4 ⎤
⎢
⎥
⎢
5 ⎥
7.868 ⋅ 10 3 ⎥
1.611
⋅
10
⎢
⎢
⎥
3
⎢ 3.836 ⋅ 10 ⎥
⎢ 7.921 ⋅ 10 4 ⎥
⎢⎣ 1.742 ⋅ 10 3 ⎥⎦
⎢ 6.009 ⋅ 10 4 ⎥
⎢
4 ⎥
⎢ 7.426 ⋅ 10 ⎥
⎢ 3.499 ⋅ 10 4 ⎥
Nu ≔ round ((Nu , 6)) = ⎢
4.285 ⋅ 10 4 ⎥
⎢
⎥
4
⎢ 2.855 ⋅ 10 ⎥
⎢ 1.569 ⋅ 10 4 ⎥
⎢
3 ⎥
⎢ 7.868 ⋅ 10 3 ⎥
⎢ 3.836 ⋅ 10 ⎥
⎢ 1.611 ⋅ 10 ⎥
⎢ 7.921 ⋅ 10 4 ⎥
⎢ 6.009 ⋅ 10 4 ⎥
⎢
4 ⎥
⎢ 7.426 ⋅ 10 ⎥
⎢ 3.499 ⋅ 10 4 ⎥
Nu ≔ round ((Nu , 6)) = ⎢
4.285 ⋅ 10 4 ⎥
⎢
⎥
4
⎢ 2.855 ⋅ 10 ⎥
⎢ 1.569 ⋅ 10 4 ⎥
⎢
3 ⎥
⎢ 7.868 ⋅ 10 3 ⎥
⎢ 3.836 ⋅ 10 ⎥
⎢⎣ 1.742 ⋅ 10 3 ⎥⎦
⎡ 529.406
⎤
⎢ 2.209 ⋅ 10 3 ⎥
⎢
⎥
3
⎢ 2.386 ⋅ 10 ⎥
⎢ 3.088 ⋅ 10 3 ⎥
⎢
3 ⎥
―――→ ⎢ 3.093 ⋅ 10 ⎥
⎛⎝Nu ⋅ λсо2⎞⎠
3
= ⎢ 2.827 ⋅ 10 ⎥
α ≔ ――――
⎢ 1.539 ⋅ 10 3 ⎥
xэф
⎢
⎥
⎢ 833.587
⎥
⎢ 435.885
⎥
⎢ 225.195
⎥
⎢ 116.702
⎥
⎢ 28.072
⎥
⎣
⎦
коэффициент теплоотдачи
⎡ 529.406
⎤
⎢ 2.209 ⋅ 10 3 ⎥
⎢
⎥
3
⎢ 2.386 ⋅ 10 ⎥
⎢ 3.088 ⋅ 10 3 ⎥ Вт
――
⎢
3 ⎥
2
⎢ 3.093 ⋅ 10 ⎥ м ⋅ К
3
α ≔ round ((α , 5)) = ⎢ 2.827 ⋅ 10 ⎥
⎢ 1.539 ⋅ 10 3 ⎥
⎢
⎥
⎢ 833.587
⎥
⎢ 435.885
⎥
⎢ 225.195
⎥
⎢ 116.702
⎥
⎢ 28.072
⎥
⎣
⎦
3.3⋅10³
3⋅10³
2.7⋅10³
2.4⋅10³
2.1⋅10³
1.8⋅10³
α
1.5⋅10³
1.2⋅10³
900
600
300
0
0.2
0.3
0.4
0.5
0.6
0.7
x0
2.7⋅10³
2.68⋅10³
2.66⋅10³
2.64⋅10³
0.8
0.9
1
1.1
1.2
1.3
2.7⋅10³
2.68⋅10³
2.66⋅10³
2.64⋅10³
2.62⋅10³
2.6⋅10³
Tе
2.58⋅10³
2.56⋅10³
2.54⋅10³
2.52⋅10³
2.5⋅10³
2.48⋅10³
0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
x0
1
1.1 1.2 1.3
⎡ 0.165 ⎤
⎢ 0.336 ⎥
⎢
⎥
⎢ 0.349 ⎥
⎢ 0.398 ⎥
⎢ 0.398 ⎥
‾‾‾‾‾‾‾‾‾‾‾‾‾‾
⎛⎝tкон ⋅ α⎞⎠
⎢ 0.38 ⎥
A ≔ ――――――= ⎢
⎥
λмат ⋅ ρмат ⋅ Cpмат ⎢ 0.281 ⎥
⎢ 0.207 ⎥
⎢ 0.149 ⎥
⎢ 0.107 ⎥
⎢ 0.077 ⎥
⎢
⎥
⎣ 0.038 ⎦
Tе.ср - Tпл
= 0.516
θпл ≔ ――――
Tе.ср - T0
⎡ 0.165 ⎤
⎢ 0.336 ⎥
⎢
⎥
⎢ 0.349 ⎥
⎢ 0.398 ⎥
⎢ 0.398 ⎥
⎢ 0.38 ⎥
A ≔ round ((A , 5)) = ⎢
⎥
0.281
⎢
⎥
⎢ 0.207 ⎥
⎢ 0.149 ⎥
⎢ 0.107 ⎥
⎢ 0.077 ⎥
⎢
⎥
⎣ 0.038 ⎦
θпл ≔ round ⎛⎝θпл , 5⎞⎠ = 0.516
δ
Fo
0.04
17
0.06
11
0.08 8.5
0.10 6.8
0.12 5.6
0.14
5
0.16 4.3
0.18
4
0.20 3.6
0.22 3.3
0.24 3.0
0.26 2.8
⎡ 0.04 ⎤
⎢ 0.06 ⎥
⎢
⎥
⎢ 0.08 ⎥
⎢ 0.10 ⎥
⎢ 0.12 ⎥
⎢ 0.14 ⎥
Bi ≔ ⎢
⎥
0.16
⎢
⎥
⎢ 0.18 ⎥
⎢ 0.20 ⎥
⎢ 0.22 ⎥
⎢ 0.24 ⎥
⎢
⎥
⎣ 0.26 ⎦
⎡ 17 ⎤
⎢ 11 ⎥
⎢
⎥
⎢ 8.5 ⎥
⎢ 6.8 ⎥
⎢ 5.6 ⎥
⎢ 5 ⎥
Fo ≔ ⎢
⎥
4.3
⎢
⎥
⎢ 4 ⎥
⎢ 3.6 ⎥
⎢ 3.3 ⎥
⎢ 3.0 ⎥
⎢
⎥
⎣ 2.8 ⎦
0.12 5.6
0.14
5
0.16 4.3
0.18
4
0.20 3.6
0.22 3.3
⎢ 0.14 ⎥
Bi ≔ ⎢
⎥
0.16
⎢
⎥
⎢ 0.18 ⎥
⎢ 0.20 ⎥
⎢ 0.22 ⎥
⎢ 0.24 ⎥
⎢
⎥
⎣ 0.26 ⎦
⎢ 5.6 ⎥
⎢ 5 ⎥
Fo ≔ ⎢
⎥
4.3
⎢
⎥
⎢ 4 ⎥
⎢ 3.6 ⎥
⎢ 3.3 ⎥
⎢ 3.0 ⎥
⎢
⎥
⎣ 2.8 ⎦
0.24 3.0
0.26 2.8
⎡ 0.04 ⎤
⎡ 0.082 ⎤
⎢ 0.05 ⎥
⎢ 0.101 ⎥
⎢
⎥
⎢
⎥
⎢ 0.056 ⎥
⎢ 0.115 ⎥
⎢ 0.063 ⎥
⎢ 0.129 ⎥
⎢ 0.07 ⎥
⎢ 0.142 ⎥
A
A
⎢ 0.074 ⎥
⎢ 0.15 ⎥
1
2
Bi1 ≔ ――= ⎢
Bi2 ≔ ――= ⎢
⎥
⎥
0.079
0.162
‾‾‾
‾‾‾
⎥
⎥
Fo ⎢
Fo ⎢
⎢ 0.082 ⎥
⎢ 0.168 ⎥
⎢ 0.087 ⎥
⎢ 0.177 ⎥
⎢ 0.091 ⎥
⎢ 0.185 ⎥
⎢ 0.095 ⎥
⎢ 0.194 ⎥
⎢
⎥
⎢
⎥
⎣ 0.098 ⎦
⎣ 0.201 ⎦
⎡ 0.085 ⎤
⎢ 0.105 ⎥
⎡ 0.096 ⎤
⎡ 0.096 ⎤
⎢
⎥
⎢
⎥
⎢ 0.12 ⎥
0.12
⎢ 0.12 ⎥
⎢
⎥
⎢
⎥
⎢ 0.134 ⎥
⎢ 0.136 ⎥
⎢ 0.136 ⎥
⎢ 0.148 ⎥
⎢ 0.152 ⎥
⎢ 0.153 ⎥
A
⎢ 0.156 ⎥
3
⎢ 0.168 ⎥
⎢ 0.168 ⎥
A
A
Bi3 ≔ ――= ⎢
⎥
⎢ 0.178 ⎥
⎢ 0.178 ⎥
4
5
0.169
‾‾‾
⎥
Fo ⎢
Bi4 ≔ ――= ⎢
Bi5 ≔ ――= ⎢
⎥
⎥
0.192
0.192
⎢ 0.175 ⎥
‾‾‾
‾‾‾
⎥
⎥
Fo ⎢
Fo ⎢
⎢ 0.184 ⎥
⎢ 0.199 ⎥
⎢ 0.199 ⎥
⎢ 0.192 ⎥
⎢ 0.21 ⎥
⎢ 0.21 ⎥
⎢ 0.202 ⎥
⎢ 0.219 ⎥
⎢ 0.219 ⎥
⎢
⎥
⎢
⎥
⎢ 0.23 ⎥
0.23
⎣ 0.209 ⎦
⎢
⎥
⎢
⎥
⎣ 0.238 ⎦
⎣ 0.238 ⎦
⎡ 0.092 ⎤
⎢ 0.115 ⎥
⎡ 0.068 ⎤
⎢
⎥
⎢ 0.085 ⎥
0.13
⎢
⎥
⎢
⎥
⎢ 0.146 ⎥
⎢ 0.096 ⎥
⎢ 0.161 ⎥
⎢ 0.108 ⎥
A
⎢ 0.17 ⎥
6
⎢ 0.119 ⎥
A
Bi6 ≔ ――= ⎢
⎥
⎢ 0.126 ⎥
7
0.183
‾‾‾
⎥
Fo ⎢
Bi7 ≔ ――= ⎢
⎥
0.135
⎢ 0.19 ⎥
‾‾‾
⎥
Fo ⎢
⎢ 0.2 ⎥
⎢ 0.14 ⎥
⎢ 0.209 ⎥
⎢ 0.148 ⎥
⎢ 0.22 ⎥
⎢ 0.154 ⎥
⎢
⎥
⎢ 0.162 ⎥
⎣ 0.227 ⎦
⎢
⎥
⎣ 0.168 ⎦
⎡ 0.05 ⎤
⎢ 0.062 ⎥
⎡ 0.036 ⎤
⎢
⎥
⎢ 0.045 ⎥
0.071
⎢
⎥
⎢
⎥
⎡ 0.026 ⎤
⎢ 0.079 ⎥
⎢ 0.051 ⎥
⎢ 0.032 ⎥
⎢
⎥
0.087
0.057
⎢
⎥
A
⎢
⎥
⎢ 0.092 ⎥
8
⎢ 0.063 ⎥
0.037 ⎥
A
⎢
Bi8 ≔ ――= ⎢
⎥
⎢ 0.067 ⎥
9
0.1
⎢ 0.041 ⎥
‾‾‾
⎥
Fo ⎢
Bi9 ≔ ――= ⎢
⎥
⎢ 0.045 ⎥
0.072
⎢ 0.103 ⎥
‾‾‾
A
⎥
Fo ⎢
⎢ 0.048 ⎥
10
0.075
⎢ 0.109 ⎥
⎢
⎥
Bi10 ≔ ――= ⎢
⎥
⎢ 0.114 ⎥
⎢ 0.079 ⎥
0.052
‾‾‾
⎢
⎥
Fo
⎢
⎥
⎢
⎥
⎡ 0.05 ⎤
⎢ 0.062 ⎥
⎢
⎥
⎢ 0.071 ⎥
⎢ 0.079 ⎥
⎢ 0.087 ⎥
A
⎢ 0.092 ⎥
8
Bi8 ≔ ――= ⎢
⎥
0.1
‾‾‾
⎥
Fo ⎢
⎢ 0.103 ⎥
⎢ 0.109 ⎥
⎢ 0.114 ⎥
⎢ 0.119 ⎥
⎢
⎥
⎣ 0.123 ⎦
⎡ 0.036 ⎤
⎢ 0.045 ⎥
⎢
⎥
⎢ 0.051 ⎥
⎢ 0.057 ⎥
⎢ 0.063 ⎥
A
⎢ 0.067 ⎥
9
Bi9 ≔ ――= ⎢
⎥
0.072
‾‾‾
⎥
Fo ⎢
⎢ 0.075 ⎥
⎢ 0.079 ⎥
⎢ 0.082 ⎥
⎢ 0.086 ⎥
⎢
⎥
⎣ 0.089 ⎦
⎡ 0.019 ⎤
⎢ 0.023 ⎥
⎢
⎥
⎢ 0.027 ⎥
⎢ 0.03 ⎥
⎢ 0.033 ⎥
A
⎢ 0.035 ⎥
11
Bi11 ≔ ――= ⎢
⎥
0.037
‾‾‾
⎥
Fo ⎢
⎢ 0.039 ⎥
⎢ 0.041 ⎥
⎢ 0.043 ⎥
⎢ 0.045 ⎥
⎢
⎥
⎣ 0.046 ⎦
xэф
⎡ 0.026 ⎤
⎢ 0.032 ⎥
⎢
⎥
⎢ 0.037 ⎥
⎢ 0.041 ⎥
⎢ 0.045 ⎥
A
⎢ 0.048 ⎥
10
Bi10 ≔ ――= ⎢
⎥
0.052
‾‾‾
⎥
Fo ⎢
⎢ 0.054 ⎥
⎢ 0.057 ⎥
⎢ 0.059 ⎥
⎢ 0.062 ⎥
⎢
⎥
⎣ 0.064 ⎦
⎡ 0.009 ⎤
⎢ 0.011 ⎥
⎢
⎥
⎢ 0.013 ⎥
⎢ 0.015 ⎥
⎢ 0.016 ⎥
A
⎢ 0.017 ⎥
12
Bi12 ≔ ――= ⎢
⎥
0.018
‾‾‾
⎥
Fo ⎢
⎢ 0.019 ⎥
⎢ 0.02 ⎥
⎢ 0.021 ⎥
⎢ 0.022 ⎥
⎢
⎥
⎣ 0.023 ⎦
№
M
Tе
Bi
Fo
1
0.1
2.7 ⋅ 10 3
2
0.3 2.697 ⋅ 10 3 4.017 0.19308
3.7341
2.209 ⋅ 10 3 0.0018355
3
0.5 2.692 ⋅ 10 3 1.829 0.20746
3.4863
2.386 ⋅ 10 3 0.0018259
4
0.7
5
1
6
1.5 2.643 ⋅ 10 3 0.682 0.24604
2.9373
2.827 ⋅ 10 3 0.0018277
7
2
0.1385
5.0705
1.539 ⋅ 10 3 0.0018899
8
2.5 2.582 ⋅ 10 3 1.887 0.07732
8.8393
833.587
0.0019479
9
3
2.556 ⋅ 10 3 1.983 0.04063 16.8168
435.885
0.0019575
10
3.5
11
4
12
5
9.972 0.04921 14.2483
2.612 ⋅ 10 3 1.534
α
δ
529.406
0.001952
⎡ 0.04921 ⎤
⎢ 0.19308 ⎥
⎢
⎥
⎢ 0.20746 ⎥
Bi0 ≔ ⎢ 0.24604 ⎥
⎢ 0.1385 ⎥
⎢ 0.07732 ⎥
⎢
⎥
⎣ 0.04063 ⎦
⎡ 529.406 ⎤
⎢ 2.209 ⋅ 10 3 ⎥
⎢
⎥
3
⎢ 2.386 ⋅ 10 ⎥
α0 ≔ ⎢ 2.827 ⋅ 10 3 ⎥
⎢
3 ⎥
⎢ 1.539 ⋅ 10 ⎥
⎢ 833.587 ⎥
⎢⎣ 435.885 ⎥⎦
⎡ 0.001952 ⎤
⎢ 0.0018355 ⎥
⎢
⎥
⎛ Bi0 ⋅ λмат ⎞ float , 5 ⎢ 0.0018259 ⎥
δ ≔ ⎜―――⎟ ―――
→ ⎢ 0.0018277 ⎥
α0
⎝
⎠
⎢ 0.0018899 ⎥
⎢ 0.0019479 ⎥
⎢
⎥
⎣ 0.0019575 ⎦
⎡ 0.517 ⎤
⎢ 0.53 ⎥
⎢
⎥
⎢ 0.55 ⎥
θ0 ≔ ⎢ 0.551 ⎥
⎢ 0.553 ⎥
⎢ 0.539 ⎥
⎢
⎥
⎣ 0.543 ⎦
⎡ 1.392 ⋅ 10 3 ⎤
⎢
3 ⎥
⎢ 1.361 ⋅ 10 ⎥
⎢ 1.314 ⋅ 10 3 ⎥
――――――→ ⎢
Tпов ≔ Tе.ср - θ0 ⋅ ⎛⎝Tе.ср - T0⎞⎠ = 1.312 ⋅ 10 3 ⎥
⎢
3 ⎥
⎢ 1.307 ⋅ 10 ⎥
⎢ 1.34 ⋅ 10 3 ⎥
⎢ 1.33 ⋅ 10 3 ⎥
⎣
⎦
⎡ 9.972 ⎤
⎢ 4.017 ⎥
⎢
⎥
⎢ 1.829 ⎥
xэф0 ≔ ⎢ 0.682 ⎥
⎢ 1.534 ⎥
⎢ 1.887 ⎥
⎢
⎥
⎣ 1.983 ⎦
⎡ 0 ⎤
⎡ 42.076 ⎤
⎢ 0.237 ⎥
⎢ 42.076 ⎥
⎢
⎥
⎢
⎥
⎢ 0.2923 ⎥
⎢ 103.211 ⎥
⎢ 0.3133 ⎥
⎢ 71.414 ⎥
⎢ 0.3278 ⎥
⎢ 75.485 ⎥
⎢ 0.3455 ⎥
⎢ 74.388 ⎥
⎢
⎥
⎢
⎥
Z ≔ 0.3555 l ≔ 61.951
⎢
⎥
⎢
⎥
⎢ 0.384 ⎥
⎢ 45.721 ⎥
⎢ 0.4329 ⎥
⎢ 31.468 ⎥
⎢ 0.5086 ⎥
⎢ 20.91 ⎥
⎢ 0.6199 ⎥
⎢ 13.683 ⎥
⎢
⎥
⎢
⎥
⎢ 0.7798 ⎥
⎢ 8.973 ⎥
⎣ 1.3079 ⎦
⎣ 3.975 ⎦
103.5
93.5
83.5
73.5
63.5
53.5
l
43.5
33.5
23.5
13.5
3.5
0
0.15
0.3
0.45
0.6
Z
0.75
0.9
1.05
1.2
1.35
17.5
0.28
0.28
0.255
0.23
Bi
0.205
Bi1
0.18
Bi2
Bi3
0.155
Bi4
Bi
0.205
Bi1
Bi2
0.18
Bi3
0.155
Bi4
Bi5
0.13
Bi6
Bi7
0.105
Bi8
Bi9
0.08
Bi10
0.055
Bi11
Bi12
0.03
0.005
2.5
4
5.5
7
8.5
10
11.5
13
Fo
0.002
0.002
0.002
0.002
0.002
0.002
δ
0.002
0.002
0.002
0.002
0.002
0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
x0
1.4⋅10³
1.392⋅10³
1.383⋅10³
1.375⋅10³
1
1.1 1.2 1.3
14.5
16
17.5
1.4⋅10³
1.392⋅10³
1.383⋅10³
1.375⋅10³
1.366⋅10³
1.358⋅10³
Tпов
1.349⋅10³
1.341⋅10³
1.332⋅10³
1.324⋅10³
1.315⋅10³
1.307⋅10³
0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
x0
1
1.1 1.2 1.3