A truncated solid cone is of circular cross section, and its diameter is related to the axial coordinate by an expression of the form D ax 3 2 , where a 1 0 m 1 2 The sides are well insulated, while the top surface of the cone at x 1 is maintained at T 1 and the bottom surface at x 2 is maintained at T 2 (a) Obtain an expression for the temperature distribution T(x) (b) What is the rate of heat transfer across the cone if it is constructed of pure aluminum with x 1 0 075m, T 1 100C, x 2 0 225 m, and T 2 20C x2 T2

Question: A truncated solid cone is of circular cross section, and its diameter is related to the axial coordinate by an expression of the form D

A truncated solid cone is of circular cross section, and its diameter is related to the axial coordinate by an expression of the form D = ax ^3/2, where a = 1.0 m-^1/2.

x2 T2

The sides are well insulated, while the top surface of the cone at x₁ is maintained at T₁ and the bottom surface at x₂ is maintained at T₂.

(a) Obtain an expression for the temperature distribution T(x).

(b) What is the rate of heat transfer across the cone if it is constructed of pure aluminum with x₁ = 0.075m, T₁ = 100°C, x₂ = 0.225 m, and T₂ = 20°C?

x2 T2

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