Compute the temperature distribution in a rod that is heated at both ends as depicted in the following figure. Use Gauss- Seidel method given that: - T- 27, +T=0 where T, represents the temperature at any nodal point. Use (7 0) as an initial guess. T T, = -10c. T= 10t -6. 25 r(2) -6.25V a) ( T:2) b) T2) 6. 25 1. 25 -1. 25 c) T(2) 2) -1.25 T:(2) -4·375/ 7:(2) 4 375 4 375/

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.7P
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Compute the temperature distribution in a rod that is heated at both ends as depicted in the
following figure. Use Gauss- Scidel method given that: -
T- 27, + T=0
where T, represents the temperature at any nodal point. Use (7 = 0) as an initial guess.
T, = -10C
T=10C
-(2)
a) ( r2)
-6. 25
-1. 25
7(2)
-6.25
6. 25
1. 25
4 375
b) ( T2)
-1. 25
7(2)
-4·375.
(2)
7:(2)
4 375,
7(2)
Transcribed Image Text:Compute the temperature distribution in a rod that is heated at both ends as depicted in the following figure. Use Gauss- Scidel method given that: - T- 27, + T=0 where T, represents the temperature at any nodal point. Use (7 = 0) as an initial guess. T, = -10C T=10C -(2) a) ( r2) -6. 25 -1. 25 7(2) -6.25 6. 25 1. 25 4 375 b) ( T2) -1. 25 7(2) -4·375. (2) 7:(2) 4 375, 7(2)
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