PROBLEM: Solve the following 2-dimensional heat conduction problem by Gauss-Seidel iteration. 3T2 at center temp. node: T1 + 3T2 + T3 + 100 200 = Дх Ax 4 at lateral point exposed to the environment: 3T2 2 Ду + 200 + 100 + 30Bi T1 T1 = 30°F 200°F 2 + Bi T3 at T3 (at insulated surfaces): 3T2 2 100 200 + + Ду T3 400 + 3T2 + 100 100°F 4 INSULATION
PROBLEM: Solve the following 2-dimensional heat conduction problem by Gauss-Seidel iteration. 3T2 at center temp. node: T1 + 3T2 + T3 + 100 200 = Дх Ax 4 at lateral point exposed to the environment: 3T2 2 Ду + 200 + 100 + 30Bi T1 T1 = 30°F 200°F 2 + Bi T3 at T3 (at insulated surfaces): 3T2 2 100 200 + + Ду T3 400 + 3T2 + 100 100°F 4 INSULATION
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Bi = 1/2
![PROBLEM:
Solve the following 2-dimensional heat conduction problem by Gauss-Seidel
iteration.
at center temp. node:
3T2
T1 + 372 + T3 + 100
200
Ax
Ax
4
at lateral point exposed to the environment:
Ду
372
+ 200 +
2
100
+ 30Bİ
T1
200°F
T1
= 30°F
2 + Bi
+
T3
at T (at insulated surfaces):
3T2
100
200 +
Ay
T3
2
400 + 3T2 + 100
100°F
4
INSULATION](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c61366b-7bd6-4322-b90a-7ac56ca0489e%2F060837fa-44bd-436e-b3ba-9fecc8fefdcd%2Fg1jsn9_processed.png&w=3840&q=75)
Transcribed Image Text:PROBLEM:
Solve the following 2-dimensional heat conduction problem by Gauss-Seidel
iteration.
at center temp. node:
3T2
T1 + 372 + T3 + 100
200
Ax
Ax
4
at lateral point exposed to the environment:
Ду
372
+ 200 +
2
100
+ 30Bİ
T1
200°F
T1
= 30°F
2 + Bi
+
T3
at T (at insulated surfaces):
3T2
100
200 +
Ay
T3
2
400 + 3T2 + 100
100°F
4
INSULATION
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