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Trabajo Métodos (Autoguardado)
34
Nombre Felipe Romero Consuegra Código 2130766 Grupo: F1 Ecuación de Transferencia Condiciones de Frontera 10 20 30 40 ^2 )/ /= ( 〗 〖 ^2 ;0)=1/9 ^1.4+ +68 ( 2 (0 )=1 +2 ; 8 )=65− (; 3 ∎ ∎ ∎ ∎ ∎ ∆=10
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Trabajo Métodos numéricos, solución de PDE
Transcript of Trabajo Métodos (Autoguardado)
Nombre Felipe Romero Consuegra
Código 2130766 Grupo: F1
Ecuación de Transferencia
Condiciones de Frontera
10 20 30 40
�� ^2 )//��=� (� � 〗〖�� ^2
� ;0)=1/9 ^1.4+ +68(� � 2�
�(0 )=1 +2;� 8�
� )=65−(�;� 3�
∎ ∎ ∎ ∎ ∎
∆�=10�
Malla
X (metros)
i 0 1 2 3
Tiem
po (
hora
s)
j 0 10 20 300 0 T00 T10 T20 T301 0.25 T01 T11 T21 T312 0.5 T02 T12 T22 T323 0.75 T03 T13 T23 T334 1 T04 T14 T24 T34
50 60 70 80 90 L = 100
∎ ∎ ∎ ∎ ∎
∆�=15 →1 ��� ℎ���
Malla
X (metros)
4 5 6 7 8 9 1040 50 60 70 80 90 100T40 T50 T60 T70 T80 T90 TL0T41 T51 T61 T71 T81 T91 TL1T42 T52 T62 T72 T82 T92 TL2T43 T53 T63 T73 T83 T93 TL3T44 T54 T64 T74 T84 T94 TL4
i x T(x,0) j0 0 68 01 10 90.7909849 12 20 115.365453 23 30 140.993533 34 40 167.437548 45 50 194.5653476 60 222.2901397 70 250.5495288 80 279.2959979 90 308.491869
10 100 338.106372MÉTODO EXPLÍCITO
X (Metros)j 0 10 20 30 40
0 0 35.000000 90.790985 115.365453 140.993533 167.4375481 0.25 6.500000 90.728552 115.367561 140.995165 167.4389162 0.5 11.000000 90.609373 115.369538 140.996797 167.4402833 0.75 15.500000 90.499674 115.371272 140.998429 167.4416514 1 20.000000 90.399418 115.372783 141.000062 167.443019
�_ +1) =(�,� −�_�� _ +1 )− _ −1 ))�(� (� ,� 2�_��+� (� ,�
t T(0,t) j t T(L,t)0 2 0 0 65
0.25 6.5 1 0.25 64.250.5 11 2 0.5 63.5
0.75 15.5 3 0.75 62.751 20 4 1 62
MÉTODO EXPLÍCITOX (Metros)
50 60 70 80 90 100194.565347 222.290139 250.549528 279.295997 308.491869 201.553186194.566541 222.291208 250.550502 279.296895 308.219600 64.250000194.567735 222.292277 250.551476 279.297248 307.673815 63.500000194.568929 222.293346 250.552449 279.296510 307.128715 62.750000194.570124 222.294416 250.553419 279.294686 306.584293 62.000000
0 10 20 30 40 50 60 70 80 90 100
0.000000
50.000000
100.000000
150.000000
200.000000
250.000000
300.000000
350.000000
0 min
15 min
30 min
45 min
1 hora
Distribución de la temperatura en la barra método explícito
0 min 15 min 30 min 45 min 1 hora
X (Metros)
Temperatura
0 10 20 30 40 50 60 70 80 90 100
0.000000
50.000000
100.000000
150.000000
200.000000
250.000000
300.000000
350.000000
0 min
15 min
30 min
45 min
1 hora
Distribución de la temperatura en la barra método explícito
0 min 15 min 30 min 45 min 1 hora
X (Metros)
Temperatura
i x T(x,0) j t0 0 68 0 01 10 90.7909849 1 0.252 20 115.365453 2 0.53 30 140.993533 3 0.754 40 167.437548 4 15 50 194.5653476 60 222.2901397 70 250.549528 Lambda 0.0028 80 279.2959979 90 308.491869
10 100 338.106372Primera Matriz j= 1
T11 T21 T31 T41 T51 T611.004 -0.002 0 0 0 0
-0.002 1.004 -0.002 0 0 00 -0.002 1.004 -0.002 0 00 0 -0.002 1.004 -0.002 00 0 0 -0.002 1.004 -0.0020 0 0 0 -0.002 1.0040 0 0 0 0 -0.0020 0 0 0 0 00 0 0 0 0 0
Primera Matriz Inversa j= 10.99601989 0.00198411 3.9524E-006 7.8734E-009 1.5684E-011 3.1243E-0140.00198411 0.99602384 0.00198412 3.9524E-006 7.8734E-009 1.5684E-011
3.9524E-006 0.00198412 0.99602384 0.00198412 3.9524E-006 7.8734E-0097.8734E-009 3.9524E-006 0.00198412 0.99602384 0.00198412 3.9524E-0061.5684E-011 7.8734E-009 3.9524E-006 0.00198412 0.99602384 0.001984123.1243E-014 1.5684E-011 7.8734E-009 3.9524E-006 0.00198412 0.996023846.2238E-017 3.1244E-014 1.5684E-011 7.8734E-009 3.9524E-006 0.001984121.2398E-019 6.2238E-017 3.1244E-014 1.5684E-011 7.8734E-009 3.9524E-0062.4697E-022 1.2398E-019 6.2238E-017 3.1243E-014 1.5684E-011 7.8734E-009
Segunda Matriz j = 2T12 T22 T32 T42 T52 T62
1.004 -0.002 0 0 0 0-0.002 1.004 -0.002 0 0 0
0 -0.002 1.004 -0.002 0 00 0 -0.002 1.004 -0.002 00 0 0 -0.002 1.004 -0.0020 0 0 0 -0.002 1.0040 0 0 0 0 -0.002
� _ −1)=_��−� (�,� _ +1 )− _ −1 )�(� (� ,� 2�_��+� (� ,� )
0 0 0 0 0 00 0 0 0 0 0
Segunda Matriz Inversa j = 20.99601989 0.00198411 3.9524E-006 7.8734E-009 1.5684E-011 3.1243E-0140.00198411 0.99602384 0.00198412 3.9524E-006 7.8734E-009 1.5684E-011
3.9524E-006 0.00198412 0.99602384 0.00198412 3.9524E-006 7.8734E-0097.8734E-009 3.9524E-006 0.00198412 0.99602384 0.00198412 3.9524E-0061.5684E-011 7.8734E-009 3.9524E-006 0.00198412 0.99602384 0.001984123.1243E-014 1.5684E-011 7.8734E-009 3.9524E-006 0.00198412 0.996023846.2238E-017 3.1244E-014 1.5684E-011 7.8734E-009 3.9524E-006 0.001984121.2398E-019 6.2238E-017 3.1244E-014 1.5684E-011 7.8734E-009 3.9524E-0062.4697E-022 1.2398E-019 6.2238E-017 3.1243E-014 1.5684E-011 7.8734E-009
Matriz j = 3T13 T23 T33 T43 T53 T63
1.004 -0.002 0 0 0 0-0.002 1.004 -0.002 0 0 0
0 -0.002 1.004 -0.002 0 00 0 -0.002 1.004 -0.002 00 0 0 -0.002 1.004 -0.0020 0 0 0 -0.002 1.0040 0 0 0 0 -0.0020 0 0 0 0 00 0 0 0 0 0
Matriz Inversa j = 3 0.99601989 0.00198411 3.9524E-006 7.8734E-009 1.5684E-011 3.1243E-0140.00198411 0.99602384 0.00198412 3.9524E-006 7.8734E-009 1.5684E-011
3.9524E-006 0.00198412 0.99602384 0.00198412 3.9524E-006 7.8734E-0097.8734E-009 3.9524E-006 0.00198412 0.99602384 0.00198412 3.9524E-0061.5684E-011 7.8734E-009 3.9524E-006 0.00198412 0.99602384 0.001984123.1243E-014 1.5684E-011 7.8734E-009 3.9524E-006 0.00198412 0.996023846.2238E-017 3.1244E-014 1.5684E-011 7.8734E-009 3.9524E-006 0.001984121.2398E-019 6.2238E-017 3.1244E-014 1.5684E-011 7.8734E-009 3.9524E-0062.4697E-022 1.2398E-019 6.2238E-017 3.1243E-014 1.5684E-011 7.8734E-009
Matriz j = 4T14 T24 T34 T44 T54 T64
1.004 -0.002 0 0 0 0-0.002 1.004 -0.002 0 0 0
0 -0.002 1.004 -0.002 0 00 0 -0.002 1.004 -0.002 00 0 0 -0.002 1.004 -0.0020 0 0 0 -0.002 1.0040 0 0 0 0 -0.0020 0 0 0 0 0
0 0 0 0 0 0
Matriz Inversa j = 40.99601989 0.00198411 3.9524E-006 7.8734E-009 1.5684E-011 3.1243E-0140.00198411 0.99602384 0.00198412 3.9524E-006 7.8734E-009 1.5684E-011
3.9524E-006 0.00198412 0.99602384 0.00198412 3.9524E-006 7.8734E-0097.8734E-009 3.9524E-006 0.00198412 0.99602384 0.00198412 3.9524E-0061.5684E-011 7.8734E-009 3.9524E-006 0.00198412 0.99602384 0.001984123.1243E-014 1.5684E-011 7.8734E-009 3.9524E-006 0.00198412 0.996023846.2238E-017 3.1244E-014 1.5684E-011 7.8734E-009 3.9524E-006 0.001984121.2398E-019 6.2238E-017 3.1244E-014 1.5684E-011 7.8734E-009 3.9524E-0062.4697E-022 1.2398E-019 6.2238E-017 3.1243E-014 1.5684E-011 7.8734E-009
T(0,t) j t T(L,t)2 0 0 65
6.5 1 0.25 64.2511 2 0.5 63.5
15.5 3 0.75 62.7520 4 1 62
Primera Matriz j= 1T71 T81 T91
0 0 0 90.80398490 0 0 115.3654530 0 0 140.9935330 0 0 167.4375480 0 0 194.565347
-0.002 0 0 222.2901391.004 -0.002 0 250.549528
-0.002 1.004 -0.002 279.295997 00 -0.002 1.004 308.620369 0.25
0.5Primera Matriz Inversa j= 1 Resultados j = 1 0.75
6.2238E-017 1.2398E-019 2.4697E-022 T11 90.672031 13.1244E-014 6.2238E-017 1.2398E-019 T21 115.3673181.5684E-011 3.1244E-014 6.2238E-017 T31 140.9951657.8734E-009 1.5684E-011 3.1243E-014 T41 167.4389163.9524E-006 7.8734E-009 1.5684E-011 T51 194.5665410.00198412 3.9524E-006 7.8734E-009 T61 222.2912080.99602384 0.00198412 3.9524E-006 T71 250.5505000.00198412 0.99602384 0.00198411 T81 279.295809
3.9524E-006 0.00198411 0.99601989 T91 307.947172
Segunda Matriz j = 2T72 T82 T92
0 0 0 90.79903140 0 0 115.3673180 0 0 140.9951650 0 0 167.4389160 0 0 194.566541
-0.002 0 0 222.2912081.004 -0.002 0 250.5505
0 10 20 30 40 50 60 70 80 90 100
0
50
100
150
200
250
300
350
0 horas
0.25 horas
0.5 horas
0.75 horas
1 horas
Distribución de la temperatura en la barra método implícito
0 horas 0.25 horas 0.5 horas 0.75 horas 1 horas
X (Metros)
Tempratura
-0.002 1.004 -0.002 279.2958090 -0.002 1.004 308.074172
Segunda Matriz Inversa j = 2 Resultados j = 26.2238E-017 1.2398E-019 2.4697E-022 T12 90.6671013.1244E-014 6.2238E-017 1.2398E-019 T22 115.3691701.5684E-011 3.1244E-014 6.2238E-017 T32 140.9967967.8734E-009 1.5684E-011 3.1243E-014 T42 167.4402843.9524E-006 7.8734E-009 1.5684E-011 T52 194.5677350.00198412 3.9524E-006 7.8734E-009 T62 222.2922770.99602384 0.00198412 3.9524E-006 T72 250.5514680.00198412 0.99602384 0.00198411 T82 279.294540
3.9524E-006 0.00198411 0.99601989 T92 307.403149
Matriz j = 3T73 T83 T93
0 0 0 90.79260140 0 0 115.369170 0 0 140.9967960 0 0 167.4402840 0 0 194.567735
-0.002 0 0 222.2922771.004 -0.002 0 250.551468
-0.002 1.004 -0.002 279.294540 -0.002 1.004 307.434149
Matriz Inversa j = 3 Resultados j = 36.2238E-017 1.2398E-019 2.4697E-022 T13 90.6607013.1244E-014 6.2238E-017 1.2398E-019 T23 115.3710041.5684E-011 3.1244E-014 6.2238E-017 T33 140.9984287.8734E-009 1.5684E-011 3.1243E-014 T43 167.4416523.9524E-006 7.8734E-009 1.5684E-011 T53 194.5689300.00198412 3.9524E-006 7.8734E-009 T63 222.2933470.99602384 0.00198412 3.9524E-006 T73 250.5524290.00198412 0.99602384 0.00198411 T83 279.292008
3.9524E-006 0.00198411 0.99601989 T93 306.765670
Matriz j = 4T74 T84 T94
0 0 0 90.70070060 0 0 115.3710040 0 0 140.9984280 0 0 167.4416520 0 0 194.56893
-0.002 0 0 222.2933471.004 -0.002 0 250.552429
-0.002 1.004 -0.002 279.292008
0 -0.002 1.004 306.88967
Matriz Inversa j = 4 Resultados j = 46.2238E-017 1.2398E-019 2.4697E-022 T14 90.5691693.1244E-014 6.2238E-017 1.2398E-019 T24 115.3726521.5684E-011 3.1244E-014 6.2238E-017 T34 141.0000597.8734E-009 1.5684E-011 3.1243E-014 T44 167.4430203.9524E-006 7.8734E-009 1.5684E-011 T54 194.5701240.00198412 3.9524E-006 7.8734E-009 T64 222.2944160.99602384 0.00198412 3.9524E-006 T74 250.5533810.00198412 0.99602384 0.00198411 T84 279.288408
3.9524E-006 0.00198411 0.99601989 T94 306.223353
X (Metros)0 10 20 30 40 50 60 70 80 90 100
35 90.791 115.37 141 167.44 194.57 222.29 250.55 279.3 308.49 201.556.5 90.672 115.37 141 167.44 194.57 222.29 250.55 279.3 307.95 64.2511 90.667 115.37 141 167.44 194.57 222.29 250.55 279.29 307.4 63.5
15.5 90.661 115.37 141 167.44 194.57 222.29 250.55 279.29 306.77 62.7520 90.569 115.37 141 167.44 194.57 222.29 250.55 279.29 306.22 62
0 10 20 30 40 50 60 70 80 90 100
0
50
100
150
200
250
300
350
0 horas
0.25 horas
0.5 horas
0.75 horas
1 horas
Distribución de la temperatura en la barra método implícito
0 horas 0.25 horas 0.5 horas 0.75 horas 1 horas
X (Metros)
Tempratura
0 10 20 30 40 50 60 70 80 90 100
0
50
100
150
200
250
300
350
0 horas
0.25 horas
0.5 horas
0.75 horas
1 horas
Distribución de la temperatura en la barra método implícito
0 horas 0.25 horas 0.5 horas 0.75 horas 1 horas
X (Metros)
Tempratura
i x T(x,0) j t0 0 68 0 01 10 90.7909849 1 0.252 20 115.365453 2 0.53 30 140.993533 3 0.754 40 167.437548 4 15 50 194.5653476 60 222.290139 Lambda 0.0027 70 250.5495288 80 279.2959979 90 308.491869
10 100 338.106372
Primera Matriz j = 0T11 T21 T31 T41 T51 T61
1.002 -0.001 0 0 0 0-0.001 1.002 -0.001 0 0 0
0 -0.001 1.002 -0.001 0 00 0 -0.001 1.002 -0.001 00 0 0 -0.001 1.002 -0.0010 0 0 0 -0.001 1.0020 0 0 0 0 -0.0010 0 0 0 0 00 0 0 0 0 0
Matriz Inversa j = 00.99800499 0.00099601 9.9403E-007 9.9204E-010 9.9006E-013 9.8809E-0160.00099601 0.99800598 0.00099601 9.9403E-007 9.9204E-010 9.9007E-013
9.9403E-007 0.00099601 0.99800598 0.00099601 9.9403E-007 9.9204E-0109.9204E-010 9.9403E-007 0.00099601 0.99800598 0.00099601 9.9403E-0079.9006E-013 9.9204E-010 9.9403E-007 0.00099601 0.99800598 0.000996019.8809E-016 9.9007E-013 9.9204E-010 9.9403E-007 0.00099601 0.998005989.8612E-019 9.8809E-016 9.9007E-013 9.9204E-010 9.9403E-007 0.000996019.8415E-022 9.8612E-019 9.8809E-016 9.9007E-013 9.9204E-010 9.9403E-0079.8219E-025 9.8415E-022 9.8612E-019 9.8809E-016 9.9006E-013 9.9204E-010
Segunda Matriz j = 1T12 T22 T32 T42 T52 T62
1.002 -0.001 0 0 0 0-0.001 1.002 -0.001 0 0 0
0 -0.001 1.002 -0.001 0 00 0 -0.001 1.002 -0.001 0
�_ +1) =(�,� −�_�� /2 _ −1 )− _ +1 ) _ −1 +1)− _ +1) _ +1 +1))� (� (� ,� 2�_��+� (� ,� +� (� ,� 2� (�,� +� (� ,�
0 0 0 -0.001 1.002 -0.0010 0 0 0 -0.001 1.0020 0 0 0 0 -0.0010 0 0 0 0 00 0 0 0 0 0
Matriz Inversa j = 10.99800499 0.00099601 9.9403E-007 9.9204E-010 9.9006E-013 9.8809E-0160.00099601 0.99800598 0.00099601 9.9403E-007 9.9204E-010 9.9007E-013
9.9403E-007 0.00099601 0.99800598 0.00099601 9.9403E-007 9.9204E-0109.9204E-010 9.9403E-007 0.00099601 0.99800598 0.00099601 9.9403E-0079.9006E-013 9.9204E-010 9.9403E-007 0.00099601 0.99800598 0.000996019.8809E-016 9.9007E-013 9.9204E-010 9.9403E-007 0.00099601 0.998005989.8612E-019 9.8809E-016 9.9007E-013 9.9204E-010 9.9403E-007 0.000996019.8415E-022 9.8612E-019 9.8809E-016 9.9007E-013 9.9204E-010 9.9403E-0079.8219E-025 9.8415E-022 9.8612E-019 9.8809E-016 9.9006E-013 9.9204E-010
Tercera Matriz j = 2T13 T23 T33 T43 T53 T63
1.002 -0.001 0 0 0 0-0.001 1.002 -0.001 0 0 0
0 -0.001 1.002 -0.001 0 00 0 -0.001 1.002 -0.001 00 0 0 -0.001 1.002 -0.0010 0 0 0 -0.001 1.0020 0 0 0 0 -0.0010 0 0 0 0 00 0 0 0 0 0
Matriz Inversa j = 20.99800499 0.00099601 9.9403E-007 9.9204E-010 9.9006E-013 9.8809E-0160.00099601 0.99800598 0.00099601 9.9403E-007 9.9204E-010 9.9007E-013
9.9403E-007 0.00099601 0.99800598 0.00099601 9.9403E-007 9.9204E-0109.9204E-010 9.9403E-007 0.00099601 0.99800598 0.00099601 9.9403E-0079.9006E-013 9.9204E-010 9.9403E-007 0.00099601 0.99800598 0.000996019.8809E-016 9.9007E-013 9.9204E-010 9.9403E-007 0.00099601 0.998005989.8612E-019 9.8809E-016 9.9007E-013 9.9204E-010 9.9403E-007 0.000996019.8415E-022 9.8612E-019 9.8809E-016 9.9007E-013 9.9204E-010 9.9403E-0079.8219E-025 9.8415E-022 9.8612E-019 9.8809E-016 9.9006E-013 9.9204E-010
Tercera Matriz j = 3T14 T24 T34 T44 T54 T64
1.002 -0.001 0 0 0 0-0.001 1.002 -0.001 0 0 0
0 -0.001 1.002 -0.001 0 00 0 -0.001 1.002 -0.001 00 0 0 -0.001 1.002 -0.0010 0 0 0 -0.001 1.0020 0 0 0 0 -0.0010 0 0 0 0 00 0 0 0 0 0
Matriz Inversa j = 30.99800499 0.00099601 9.9403E-007 9.9204E-010 9.9006E-013 9.8809E-0160.00099601 0.99800598 0.00099601 9.9403E-007 9.9204E-010 9.9007E-013
9.9403E-007 0.00099601 0.99800598 0.00099601 9.9403E-007 9.9204E-0109.9204E-010 9.9403E-007 0.00099601 0.99800598 0.00099601 9.9403E-0079.9006E-013 9.9204E-010 9.9403E-007 0.00099601 0.99800598 0.000996019.8809E-016 9.9007E-013 9.9204E-010 9.9403E-007 0.00099601 0.998005989.8612E-019 9.8809E-016 9.9007E-013 9.9204E-010 9.9403E-007 0.000996019.8415E-022 9.8612E-019 9.8809E-016 9.9007E-013 9.9204E-010 9.9403E-0079.8219E-025 9.8415E-022 9.8612E-019 9.8809E-016 9.9006E-013 9.9204E-010
T(0,t) j t T(L,t)2 0 0 65
6.5 1 0.25 64.2511 2 0.5 63.5
15.5 3 0.75 62.7520 4 1 62
Primera Matriz j = 0T71 T81 T91
0 0 0 90.76626840 0 0 115.3665070 0 0 140.9943490 0 0 167.4382320 0 0 194.565944
-0.001 0 0 222.2906731.002 -0.001 0 250.550015
-0.001 1.002 -0.001 279.2964460 -0.001 1.002 308.419985
Matriz Inversa j = 0 Resultados j=09.8612E-019 9.8415E-022 9.8219E-025 T11 90.70023549.8809E-016 9.8612E-019 9.8415E-022 T21 115.3674679.9007E-013 9.8809E-016 9.8612E-019 T31 140.9951659.9204E-010 9.9007E-013 9.8809E-016 T41 167.4389169.9403E-007 9.9204E-010 9.9006E-013 T51 194.5665410.00099601 9.9403E-007 9.9204E-010 T61 222.2912080.99800598 0.00099601 9.9403E-007 T71 250.5505020.00099601 0.99800598 0.00099601 T81 279.296487
9.9403E-007 0.00099601 0.99800499 T91 308.083115
Segunda Matriz j = 1T72 T82 T92
0 0 0 90.65170240 0 0 115.3684280 0 0 140.9959810 0 0 167.4396
�_ +1) =(�,� −�_�� /2 _ −1 )− _ +1 ) _ −1 +1)− _ +1) _ +1 +1))� (� (� ,� 2�_��+� (� ,� +� (� ,� 2� (�,� +� (� ,�
0 0 0 194.567138-0.001 0 0 222.2917421.002 -0.001 0 250.550988
-0.001 1.002 -0.001 279.2965270 -0.001 1.002 307.873995
Matriz Inversa j = 1 Resultados j = 19.8612E-019 9.8415E-022 9.8219E-025 T12 90.58589999.8809E-016 9.8612E-019 9.8415E-022 T22 115.3692729.9007E-013 9.8809E-016 9.8612E-019 T32 140.9967979.9204E-010 9.9007E-013 9.8809E-016 T42 167.4402839.9403E-007 9.9204E-010 9.9006E-013 T52 194.5677350.00099601 9.9403E-007 9.9204E-010 T62 222.2922770.99800598 0.00099601 9.9403E-007 T72 250.5514740.00099601 0.99800598 0.00099601 T82 279.296025
9.9403E-007 0.00099601 0.99800499 T92 307.538215
Tercera Matriz j = 2T73 T83 T93
0 0 0 90.54659730 0 0 115.3701160 0 0 140.9976130 0 0 167.4409670 0 0 194.568332
-0.001 0 0 222.2928121.002 -0.001 0 250.551959
-0.001 1.002 -0.001 279.2955230 -0.001 1.002 307.328684
Matriz Inversa j = 2 Resultados j = 29.8612E-019 9.8415E-022 9.8219E-025 T13 90.48100629.8809E-016 9.8612E-019 9.8415E-022 T23 115.3708549.9007E-013 9.8809E-016 9.8612E-019 T33 140.9984289.9204E-010 9.9007E-013 9.8809E-016 T43 167.4416529.9403E-007 9.9204E-010 9.9006E-013 T53 194.568930.00099601 9.9403E-007 9.9204E-010 T63 222.2933460.99800598 0.00099601 9.9403E-007 T73 250.5524420.00099601 0.99800598 0.00099601 T83 279.29448
9.9403E-007 0.00099601 0.99800499 T93 306.993991
Tercera Matriz j = 3T74 T84 T94
0 0 0 90.4509150 0 0 115.371592
0 0 0 140.9992440 0 0 167.4423360 0 0 194.569527
-0.001 0 0 222.2938811.002 -0.001 0 250.552925
-0.001 1.002 -0.001 279.2934380 -0.001 1.002 306.784047
Matriz Inversa j = 3 Resultados j = 39.8612E-019 9.8415E-022 9.8219E-025 T14 90.38551629.8809E-016 9.8612E-019 9.8415E-022 T24 115.3722339.9007E-013 9.8809E-016 9.8612E-019 T34 141.0000599.9204E-010 9.9007E-013 9.8809E-016 T44 167.443029.9403E-007 9.9204E-010 9.9006E-013 T54 194.5701240.00099601 9.9403E-007 9.9204E-010 T64 222.2944160.99800598 0.00099601 9.9403E-007 T74 250.5534040.00099601 0.99800598 0.00099601 T84 279.291858
9.9403E-007 0.00099601 0.99800499 T94 306.450438
X (Metros)0 10 20
Tiem
po (
Hora
s)
0 35 90.7909849 115.3654530.25 6.5 90.7002354 115.367467
0.5 11 90.5858999 115.3692720.75 15.5 90.4810062 115.370854
1 20 90.3855162 115.372233
0 10 20 30 40 50 60 70 80 90 100
0
50
100
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200
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Distribución de la temperatura método de Crank-Nicholson
0 min 15 min 30 min 45 min 1 hora
X (m)
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0 10 20 30 40 50 60 70 80 90 100
0
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Distribución de la temperatura método de Crank-Nicholson
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X (m)
Temperatura (°c)
X (Metros)30 40 50 60 70 80
140.993533 167.437548 194.565347 222.290139 250.549528 279.295997140.995165 167.438916 194.566541 222.291208 250.550502 279.296487140.996797 167.440283 194.567735 222.292277 250.551474 279.296025140.998428 167.441652 194.56893 222.293346 250.552442 279.29448141.000059 167.44302 194.570124 222.294416 250.553404 279.291858
0 10 20 30 40 50 60 70 80 90 100
0
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Distribución de la temperatura método de Crank-Nicholson
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0 10 20 30 40 50 60 70 80 90 100
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1 hora
Distribución de la temperatura método de Crank-Nicholson
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X (m)
Temperatura (°c)
X (Metros)90 100
308.491869 201.553186308.083115 64.25307.538215 63.5306.993991 62.75306.450438 62
0 10 20 30 40 50 60 70 80 90 100
0
50
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Distribución de la temperatura método de Crank-Nicholson
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0 10 20 30 40 50 60 70 80 90 100
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0 min 15 min 30 min 45 min 1 hora
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