A slab, 0 ≤x≤ L, is initially at zero temperature. For times t > 0, heat is generated in the slab at a constant rate of go (W/m³), while the boundary surface at x =0 is kept insulated and the boundary surface at x = L is kept at zero temperature. Obtain an expression for the temperature distribution T(x, t) in the slab (i) using the Laplace transform technique that is valid for all times and (ii) an approximation that is valid for very small times.

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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.