T = εn 1 1;
T (n min) = 327,610,1(1,3763 1) = 782,218 ;
T (n) = 326,310,1(1,3763 1) = 779,027 ;
T (nN) = 326,210,1(1,3763 1) = 778,67 ;
T (n max) = 326,310,1(1,3763 1) = 778,91 .
10.24. ().
3.6. .
(mCV) t c = 20,6 + 0,002638 t c,
t c = T 273º:
t c(n min) = 803,2705 273 = 530,2705 º;
t c(n) = 793,528 273 = 520,528 º;
t c(nN) = 795,68 273 = 522,68 º;
t c (n max) = 790,2635 273 = 517,2635 º.
(mCV) t c(n min) = 20,6 + 0,002638530,2705 = 21,9989 /;
(mCV) t c(n ) = 20,6 + 0,002638520,528 = 21,9732 /;
(mCV) t c(nN ) = 20,6 + 0,002638522,68 = 21,9788 /;
(mCV) t c(n max) = 20,6 + 0,002638517,2635 = 21,9645 /.
10.25. .
3.7. .
(mCV ")to500 (n min) = 24,014 + (24,15 24,014)0,01/0,05 = 24,0412 /;
(mCV ") to600 (n min) = 24,44 + (24,586 24,44)0,01/0,05 = 24,4692 /;
(mCV ") t c(n min) = 24,0412 + (24,4692 24,0412)9,218/100 = 24,0807 /.
(mCV ")to500 (n) = 24,15 + (24,045 24,15)0,05/0,05 = 24,045 /;
(mCV ")to600 (n) = 24,586 + (24,475 24,586)0,05/0,05 = 24,475 /;
(mCV ") t c(n) = 24,045 + (24,475 + 24,045)6,027/100 = 24,0709 /.
(mCV ")to500 (nN) = 24,15 + (24,045 24,15)0,05/0,05 = 24,045 /;
(mCV ") to600 (nN) = 24,586 + (24,475 24,586)0,05/0,05 = 24,475 /;
(mCV ") tc(nN) = 24,045 + (24,475 24,045)5,67/100 = 24,0694 /.
(mCV ") t 500 (n max) = 24,014 + (24,15 24,014)0,03/0,05 = 24,0956 /;
(mCV ") t 600 (n max) = 24,44 + (24,586 24,44)0,03/0,05 = 24,5276 /;
(mCV ") t c(n max) = 24,0956 + (24,5276 24,0956)5,91/100 = 24,1211 /.
10.26. .
(mCV ') t c= (1/(1 + γ r))[(mCV) t c t o+ γ r (mCV '') t c t o]:
(mCV ') t c(n min) = (1/(1 + 0,04050014))[21,94332 + 0,0405001424,0807] = =22,0265 /;
(mCV ') t c(nM) = (1/(1 + 0,0,03769155))[21,9349 + 0,0376915524,0709] = =22,0125 /;
(mCV ') t c(nN ) = (1/(1 + 0,03886047))[21,93396 + 0,0388604724,0694] = =22,0138 /;
(mCV ') t c(n max) = (1/(1 + 0,03948463))[21,93459 + 0,0394846324,1211] = =22,0176 /.
10.3
.
|
|
n min | nM | nN | n max | ||
n, min 1 | |||||
k 1 | 1,3765 | 1,3765 | 1,3765 | 1,3765 | |
n 1 | 1,3763 | 1,3763 | 1,3763 | 1,3763 | |
p | 2,399 | 2,330 | 2,088 | 2,020 | |
T | 782,218 | 779,027 | 778,670 | 778,910 | |
t | 509,218 | 506,027 | 505,670 | 505,910 | |
(mCV) t c | 21,943 | 21,935 | 21,934 | 21,935 | |
(mCV ") t c | 24,081 | 24,071 | 24,069 | 24,121 | |
(mCV ') t c | 22,027 | 22,012 | 22,014 | 22,018 |
.
.
μ 0 = M 2 / M 1:
μ 0(n min) = 0,536703846 / 0,5048495 = 1,06309672;
μ 0(nM) = 0,553076923 / 0,52552258 = 1,05243228;
μ 0(nN) = 0,553076923 / 0,52552258 = 1,05243228;
μ 0(n max) = 0,544890385 / 0,51518604 = 1,05765752.
.
μ = (μ 0 + γ r) / (1 + γ r):
μ (n min) = (1,0631 + 0,0405)/(1 + 0,0405) = 1,060641;
μ (nM) = (1,05243 + 0,037692)/(1 + 0,037692) = 1,05053;
μ (nN ) = (1,0524323 + 0,038861)/(1 + 0,038861) = 1,050471;
μ (n max) = (1,05766 + 0,039485)/(1 + 0,039485) = 1,0554674.
10.29. (α > 1).
Δ u = 119950(1 α) L o:
Δ u(n min) = 119950(1 0,96)0,517 = 2479,736 /;
Δ u(nM) = 119950(1 1)0,517 = 0,00 /;
Δ u(nN) = 119950(1 1)0,517 = 0,00 /;
Δ u(n max) = 119950(1 0,98)0,517 = 1239,868 /.
.
.. = ( u Δ u)/(M 1(1 + γ r)):
.(n min) = (43929,5 2479,74)/(0,504849(1 + 0,0405)) = 78907,45 / .;
.(nM) = (43929,5 0,00)/(0,525523(1 + 0,037692)) = 80555,76 / .;
.(nN) = (43929,5 0,00)/(0,525523(1 + 0,038861)) = 80465,12 / .;
.(n max) = (43929,5 1239,87)/(0,515186(1 + 0,039485)) = 79715,04 / ..
.
(mCV '') t z= 1/ M 2[ M C2(mC ″ V 2) t c+ M CO(mC ″ V CO) t c+ M H2O (mC ″ V H2O) t c+ + M H2(mC ″ V H2) t c+ M N2(mC ″ V N2) t c]:
(mCV '') t c 3.6. 1501º 2800º.(1);
(mCV '') t z(n min) = (1/0,53670385)[0,0654(39,123 + 0,003349 t z) + + 0,0585(22,49 + 0,00143 t z) + 0,06975(26,67 + 0,004438 t z) + 0,0275(19,678 + + 0,001758 t z) + 0,39295(21,951 + 0,001457 t z)] = 24,651 + 0,002076209 t z /();
(mCV '') t z(nM) = (1/0,55307692)[0,07125(39,123 + 0,003349 t z) + 0(22,490 + + 0,001430∙ t z) + 0,0725(26,67 + 0,004438 t z) + 0(19,678 + 0,001758 t z) + 0,40933 ∙(21,951 + 0,001457 t z)] = 24,78177 + 0,0020915 t z /();
(mCV '') t z(nN) = (1/0,55307692)[0,07125(39,123 + 0,003349 t z) + 0(22,49 + + 0,00143 t z) + 0,0725(26,67 + 0,004438 t z) + 0(19,678 + 0,001758 t z) + 0,40933 ∙(21,951 + 0,001457 t z)] = 24,78177 + 0,0020915 t z /();
|
|
(mCV '') t z(n max) = 1/0,54489038[0,06832(39,123 + 0,003349 t z) + 0,00293 ∙(22,49 + 0,00143 t z) + 0,07113(26,67 + 0,004438 t z) + 0,00137(19,678 + + 0,001758 t z) + 0,40114(21,951 + 0,001457 t z)] = 24,71736 + 0,002093969 t z /().
.
ξ z . + (mCV ') t c t c = μ (mCV '') t z t z,
ξ z ( ) .10.2. (.10.1 );
ξ z(n min) = 0,875; ξ z(nM) = 0,95; ξ z(nN) = 0,9925; ξ z(n max) = 0,995.
n min :
0,87578907,45 + 22,027509,218 = 1,060641(24,651 + 0,002076209 t z) t z;
80260,3155 = 26,1459 t z + 0,00220211 t z2;
0,00220211 t z2 + 26,1459 t z 80260,3155 = 0;
t z = 2530,424C.
nM:
0,9580555,76 + 22,012506,027 = 1,050528(24,78177 + 0,0020915 t z) t z;
87666,8896 = 26,0339 t z + 0,00219718 t z2;
0,00219718 t z2 + 26,0339 t z 87666,8896 = 0;
t z = 2735,754C.
nN:
0,992580465,12 + 22,014505,67 = 1,050471(24,78177 + 0,0020915 t z) t z;
90993,3626 = 26,0325 t z + 0,00219706 t z2.
0,00219706 t z2 + 26,0325 t z 90993,3626 = 0;
t z = 2822,855C.
n max :
0,95579715,04 +22,018505,91 = 1,055467(24,71736 + 0,002083969 t z) t z;
90455,4 = 26,0884 t z + 0,00219956 t z2;
0,00219956 t z2 + 26,0884 t z 90455,4001 = 0;
t z = 2804,253C.
.
p z = p c μ T z / T c,
T z = t z + 273º.
p z(n min) = 2,3991,0606412803,42 / 782,218 = 9,119 ;
p z(nM) = 2,3301,0505283008,75 / 779,027 = 9,455 ;
p z(nN) = 2,0881,0504713095,86 / 778,67 = 8,720 ;
p z(n max) = 2,0201,055467413077,25 / 778,910 = 8,423 .
.
p z= 0,85 p z:
p z(n min) = 0,859,119 = 7,752 ;
p z(nM) = 0,859,455 = 8,037 ;
p z(nN) = 0,858,720 = 7,412 ;
p z(n max) = 0,858,423 = 7,159 .
.
λ = p z/ p :
λ (n min) = 9,119/2,399 = 3,801;
λ (nM ) = 9,445/2,330 = 4,057;
λ (nN ) = 8,720/2,088 = 4,176;
λ (n max) = 8,423/2,020 = 4,17.
10.4
.
n min | nM | nN | n max | ||
n, min 1 | |||||
μ 0 | 1,06310 | 1,05243 | 1,05243 | 1,05766 | |
μ | 1,06064 | 1,05053 | 1,05047 | 1,05547 | |
Δ u | 2479,736 | 0,00 | 0,00 | 1239,868 | |
. | 78907,447 | 80555,76 | 80465,12 | 79715,038 | |
(mCV ") t z | 24,7 + 0,002076 t z | 24,8 + 0,002092 t z | 24,8 + 0,002092 t z | 24,7 + + 0,002084 t z | |
ξ z | 0,875 | 0,95 | 0,995 | 0,995 | |
t z | 2530,42 | 2735,75 | 2822,86 | 2804,25 | |
T z | 2803,42 | 3008,75 | 3095,86 | 3077,25 | |
p z | 9,119 | 9,455 | 8,720 | 8,423 | |
p z | 7,752 | 8,037 | 7,412 | 7,159 | |
λ | 3,801 | 4,057 | 4,176 | 4,170 |
.
10.36. k 2 (. .4.8. k 2 ).
k 2(n min) = 1,25; k 2(nM) = 1,24719; k 2(nN) = 1,24654; k 2(n max) = 1,24783.
|
|
10.37. n 2.
n 2 = k 2 Δ;
n 2(n min) = 1,2492; n 2(nM) = 1,24639; n 2(nN ) = 1,24574; n 2(n max) = 1,24703.
.
pb = p z/ εn 2:
pb (n min) = 9,19/10,11,2492 = 0,50742287 ;
pb (nM) = 9,455/10,11,24639 = 0,52953825 ;
pb (nN ) = 8,720/10,11,24574 = 0,48907518 ;
pb (n max) = 8,423/10,11,24703 = 0,47100306 .
.
Tb = T z / εn 2 1 :
Tb (n min) = 2803,42/10,10,2492 = 1575,476 K;
Tb (nM) = 3008,75/10,10,24639 = 1701,892 K;
Tb (nN) = 3095,86/10,10,24574 = 1753,795 K;
Tb (n max) = 3077,25/10,10,24703 = 1738,064 K.
10.40. Tr.
Tr = Tb / 3√ pb / pr:
Tr (n min) = 1575,476/ 3√0,507422866/0,103746 = 928,137 ;
Tr (nM) = 1701,892/ 3√0,529538253/0,105125 = 992,814 ;
Tr (nN ) = 1753,795/ 3√0,489075182/0,11 = 1066,56 ;
Tr (n max) = 1738,064/ 3√0,47100306/0,111365 = 1074,75 .
10.41. ( 5%).
Δ Tr = [(Tr Tr ..)/ Tr ..]100%:
Δ Tr (n min) = [(928,137 910)/910]100% = 1,993%;
Δ Tr (nM) = [(992,814 967,5)/967,5]100% = 2,616%;
Δ Tr (nN ) = [(1066,56 1025)/1025]100% = 4,054%;
Δ Tr (n max) = [(1074,75 1032,5)/1074,75]100% = 3,931%.
10.5
.
n min | nM | nN | n max | ||
n, min 1 | |||||
k 2 | 1,25 | 1,24719 | 1,24654 | 1,24783 | |
n 2 | 1,2492 | 1,24639 | 1,24574 | 1,24703 | |
Pb | 0,507422866 | 0,529538253 | 0,489075182 | 0,47100306 | |
Tb | 1575,476 | 1701,892 | 1753,795 | 1738,064 | |
Tr | 928,1 | 992,8 | 1066,6 | 1074,7 | |
Δ Tr, % | 1,99 | 2,62 | 4,05 | 3,93 |
.
.
pi ' = (ρ/(ε 1)){(λ / n 2 1)(1 [1/ εn 2 1]) (1/ n 1 1)(1 [1/ εn 1 1])}:
pi '(n min) = (2,399/(10,1 1)){(3,8/(1,24920 1))(1 [1/10,1(1,24920 1)]) (1/(1,376 1))(1 [1/10,1(1,376 1)])} = 1,354311 ;
pi '(nM) = (2,330/(10,1 1)){(4,1/(1,24639 1))(1 [1/10,1(1,24639 1)]) (1/(1,376 1))(1 [1/10,1(1,376 1)])} = 1,436202 ;
pi '(nN) = (2,088/(10,1 1)){(4,2/(1,24574 1))(1 [1/10,1(1,24574 1)]) (1/(1,376 1))(1 [1/10,1(1,376 1)])} = 1,336022 ;
pi '(n max) = (2,020/(10,1 1)){(4,2/(1,24703 1))(1 [1/10,1(1,24703 1)]) (1/(1,376 1))(1 [1/10,1(1,376 1)])} = 1,28775 .