A pipe of inner radius R1, outer radius R2 and constant thermal conductivity K is maintained at an inner temperature T1 and outer temperature T2. For a length of pipe L find the rate at which the heat is lost and the temperature inside the pipe in the steady state.

Heat lost from the cylindrical pipe is given by the formula,

Temperature distribution inside the cylinder is given by,

Explanation:

Inner radius =  

Outer radius =

Constant thermal conductivity = K

Inner temperature =

Outer temperature =

Length of the pipe = L

Heat lost from the cylindrical pipe is given by the formula,

------------ (1)

Temperature distribution inside the cylinder is given by,

    ------------ (2)

answer:

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