Concept explainers
A steady-state heat balance for a rod can be represented as
Obtain an analytical solution for a 10-m rod with
To calculate: An analytical solution for a 10-m rod with
Answer to Problem 1P
Solution:
The solution is
Explanation of Solution
Given Information:
A steady-state heat balance for a rod is represented as
Calculation:
Consider the steady-state heat balance of rod given as
Suppose
Substitute the values of
Since,
Therefore, the general solution of the differential equation is,
The constant
Firstly,
Solve further to get,
The second value is
Solve further to get,
Now to evaluate equations (1)and(2)
Multiply equation(1) by
Then,
Now put the value of
Substitute the values of
At
At
At
At
At
At
At
At
At
At
At
The values of
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Chapter 27 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
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