PROBLEM 1.2
A very thin metallic sheet is placed between two wood plates of different thicknesses. The plates are firmly pressed together, and electricity is passed through the sheet. The exposed surfaces of the two plates lose heat to the ambient fluid by convection. Assume uniform heating at the interface. Neglect end effects and assume steady state. [a] Will the heat transfer through the two plates be the same? Explain. [b] Will the exposed surfaces be at the same temperature? Explain.
Observations:
i. The electric energy generated in the metallic sheet is transferred outwardly through the two wood plates.
ii. Since the plates are of identical material but of different thicknesses, it follows that this is an asymmetrical problem.
iii. According to Fourier's law of conduction, material thickness plays a role in the rate of heat conducted.
iv. Heat is removed from the exposed surfaces by convection to the surroundings.