Answer:
And if we solve for T we got:
The answer for this case would be at 5cm from the base of the fin.
Explanation:
Data given
For this case we have the following data given:
represent the heat transfer coefficient.
represent the perimeter for this case and would be given by:
represent the thermal conductivity
represent the width
represent the thickness
Solution to the problem
For this case we assume that we have steady conditions, the temperature of the fins varies just in one direction, the heat transfer coefficient not changes with the time and the thermal properties of the fin not change.
We can determine the temperature if the fin at x=5 cm=0.05 m from the base with the following formula:
Where m is a coefficient given by:
The value of x for this case represent the distance
represent the base temperature
represent the temperature of the sorroundings or the ambient.
If we replace we have this:
And if we solve for T we got:
The answer for this case would be at 5cm from the base of the fin.