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A rod of length l with thermally insulated lateral surface consists of material whose heat conductivity Coefficient varies with temperature as k=α/T, where a 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.


A rod of length  l  with thermally insulated lateral surface  consists of material whose heat conductivity


Coefficient varies with temperature as  k=α/T, where a is a constant. The ends  of the rod are kept at


Temperatures T1 and T2. Find the function T(x), where x is the distance from the end whose temperature  is T1, and the heat flow density.


Grade:12

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