Consider a large 10-cm-thick ceramic plate (k = 5,1 W/m°C) in which heat is generated uniformly at a rate of 7x105 W/m3. Both sides of the plate are exposed to an environment at 35°C with a heat transfer coefficient of 50 W/m2 °C. (a) express the differential equation for steady one-dimensional heat conduction through the plate, (b) obtain a relation for the variation of temperature in the plate by solving the differential equation, and (c) explain where in the plate the highest and the lowest temperatures will occur, and determine their values.

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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.