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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
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To calculate: The temperature of the square heated plate in the provided figure by Liebmann’s method with the upper boundary condition increased to
Answer to Problem 1P
Solution:
The temperature of the square heated plate is,
Explanation of Solution
Given information:
The upper boundary condition increased to
Calculation:
The following formula is used to calculate the temperature at
And the percent relative errors is,
With the help of the above formula, the following code implements the procedure of Liebmann’s method to solve for the temperatures on the platewith the given conditions, that is, theleft boundary is insulated and the upper boundary raised to
Code:
while
for
for
end
end
end
Output:
On executing the above script, the program finds the stopping condition on the seventh iteration with a maximum error of 0.5169%.
From the above output, the final result can be shown as:
And the maximum Error is
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Chapter 29 Solutions
Numerical Methods for Engineers
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