A plane wall is constructed of a material having a thermal conductivity that varies as the square of the temperature according to the relation k =k0(1+βT^2 ). Derive an expression for the heat transfer in such a wall. Find the heat transfer per unit area through the composite wall Assume one-dimensional heat flow.

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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.