Solution of the Fourier Heat Conduction Equation and the “Geo-Power Station”
The Fourier heat conduction equation describes the variation of temperature with time in a rigid body. It is of historical interest. It appeared for the first time in 1822 in a paper presented to the Académie Française by Fourier entitled “Théorie de la Chaleur”. The work was considered at that time to be very important, because complete equilibrium of temperature in the universe was regarded as the heat-death of the world, i.e. as a possible form of universal decline. Today Fourier’s work is important for another reason. In fact, as a method of solution for the heat conduction equation, Fourier set out in his paper the theory of Fourier Series.
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