10B.4. Heat conduction in an annulus (Fig. 10B.4). (a) Heat is flowing through an annular wall of inside radius and outside radiu thermal conductivity varies linearly with temperature from ko at To to k₂ at T₁. Develo pression for the heat flow through the wall. (b) Show how the expression in (a) can be simplified when (₁-ro)/ro is very small. the result physically. Answer: (a) Q = 2#L(To — T,)(ko + k¹)(in 2) ¹; w - In q Tog T₁ ¹; (b) Q = 2mrd( ko + k¹) (7 Q = 0 2 T₁-To Problem Fig. 10B.4. Temperature profile in an annular wall.

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Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.