Download - inversion de matrices
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Nodos
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Ta1T1
T2 Ta2
Convección
Conducción
Convección y radiación
2
20
T
x
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2 2 2
2 2 20
T T T
x y z
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• Analítico• Separación de Variables• Diferencias Finitas• Método Gráfico• Balance de energía• Inversión de matrices• Gauss-Seidel• Método de Relajación
1er-EXAMEN Resumen. Cap. Transferencia de calor 2D y 3D
Teoría básica de cada técnica
1-Ejemplo resulto de c/u
Se entrega en 15 días
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2 2 2
2 2 20
T T T
x y z
Método Nodos
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Sistema de ecuaciones de N incógnitas
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A T C
1T A C
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500 °C
500
°C
500
°C
300 °Ch=10 W/m2*°C
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, 1 , 1 1, 1, ,4 0m n m n m n m n m nT T T T T
500 + T3 + + -T2 500 4T1 = 0 NODO 1
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1, , 1 , 1 ,
22 2 2 0m n m n m n m n
h x h xT T T T T
k k
2.5
h x
k
(2*T5 + T8 + 500) + 2*(2.5)300 – 2(2.5+2)T7 =0
, 1 1, 1, ,
22 2 2 0m n m n m n m n
h x h xT T T T T
k k
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, 1 , 1 1, 1, ,4 0m n m n m n m n m nT T T T T
T1=?T2=?T3=?T4=?