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QuArK21343
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Consider a wire of length l. At time t=0, one end of the wire is at temperature T_0, while the rest of the wire is at temperature T_1, T_1<T_0 (for example, one end of the wire is kept in contact with an external hot body, at temperature T_0). After how much time the temperature near the second end of the wire will begin to rise? I tried to use Fourier law of conduction, in particular I wrote. starting from the diffusion equation, that the Fourier transform of the function T(x,t) that gives the temperature along the wire is f(k)e^(-k^2Dt), D is the diffusion constant and f is to be determined from the initial conditions. From now on, I am not sure how to go on...