A rod of length λ with thermally insulated lateral surface consists of material whose heat conductivity coefficient varies with temperature as K = α/ T, where α is a constant. The ends of the rod are kept at temperatures T 1 and T 2 . Find the function T(x), where x is the distance from the end whose temperature is T 1 and the heat flow density,
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
= – kA 
x =A α λ n 
= A α λ n 
⇒ 
= q
or 
= 
or 
= 
or T(x) = T 1 
q = 
T (x) = T 1 
; q = ( α / λ ) λ n 
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