(a) Heat is flowing through an annular (cylindrical) wall

of inside radius ro and outside radius r. The thermal

conductivity varies linearly with temperature from ko

at To to k1 at Tr. Develop an expression for the heat

flow through the wall.

(b) Show how the expression in (a) can be simplified when

(r

-roro is very small. Interpret the result.

Temperature profile in an annular wall. To (a) Heat is flowing through an annular (cylindrical) wall of inside radius ro and outside radius n. The thermal conductivity varies linearly with temperature from ko at To to ki at T1. Develop an expression for the heat flow through the wall. (b) Show how the expression in (a) can be simplified when (r - ro)/ro is very small. Interpret the result. T