29.2 Use Liebmann's method to solve for the temperature of the square heated plate in Fig. 29.4, but with the upper boundary condition increased to 150°C and the left boundary decreased to 50°C. Use a relaxation factor of 1.2 and iterate to ε = 1%.

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29.2 Use Liebmann's method to solve for the temperature of the
square heated plate in Fig. 29.4, but with the upper boundary
condition increased to 150°C and the left boundary decreased to
50°C. Use a relaxation factor of 1.2 and iterate to ε = 1%.
75°C
(1, 3)
(1, 2)
(1, 1)
100°C
(2,3)
(2, 2)
(2, 1)
0°C
(3, 3)
(3, 2)
(3, 1)
50°C
FIGURE 29.4
A heated plate where boundary temperatures are held at constant levels. This case is called
a Dirichlet boundary condition.
Transcribed Image Text:29.2 Use Liebmann's method to solve for the temperature of the square heated plate in Fig. 29.4, but with the upper boundary condition increased to 150°C and the left boundary decreased to 50°C. Use a relaxation factor of 1.2 and iterate to ε = 1%. 75°C (1, 3) (1, 2) (1, 1) 100°C (2,3) (2, 2) (2, 1) 0°C (3, 3) (3, 2) (3, 1) 50°C FIGURE 29.4 A heated plate where boundary temperatures are held at constant levels. This case is called a Dirichlet boundary condition.
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