11.9 Periodic Flow of Heat
In all the considerations till now, source of heat is supplying heat at a constant rate. Now, we shall consider a source which supplies heat periodically to one end of a bar. Here, we may also include the heat loss by radiation from the surface of the bar or exclude it. Excluding radiation means that the bar is having a guard ring or jacket which is similar to the propagation of periodic temperature wave in a semi infinite solid in a specified direction. It resembles the daily and yearly temperature variation in the earth's surface.
In dealing with such problem, we consider one end of such a jacketed bar in a source whose periodic variation of temperature is given by θ = θ0 cos ωt, θ is the temperature measured from ...
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