Heat conduction in an annulus (Fig 10B 4), (a) Heat is flowing through an annular wall of inside radius r 0 and outside radius r 1 The thermal conductivity varies linearly with temperature from k 0 at T 0 to k 1 at T 1 Develop an expression for the heat flow through the wall (b) Show how the expression in (a) can be simplified when (r 1 r 0 ) r 0 is very small Interpret the result physically To To

Question: Heat conduction in an annulus (Fig. 10B.4), (a) Heat is flowing through an annular wall of inside radius r 0 and outside radius r 1

Heat conduction in an annulus (Fig. 10B.4),

(a) Heat is flowing through an annular wall of inside radius r₀ and outside radius r₁. The thermal conductivity varies linearly with temperature from k₀ at T₀ to k₁ at T₁. Develop an expression for the heat flow through the wall.

(b) Show how the expression in (a) can be simplified when (r₁ - r₀)/r₀ is very small. Interpret the result physically.

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