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Some properties of a 3-D solution to the heat equation

Fetecau C., Fetecau G.

International Journal of Applied Mechanics and Engineering

2001

Vol. 6, no. 4

999-1004

In this note, we construct a 3-D solution to the heat equation by means of the Fourier sine transform. If there exists no source of heat and the initial inner temperature of the body is zero our solution depends on x, y, z and t only by the similarity variables _ , _ and _ . Moreover, the corresponding 2-D and 1-D solutions appear as limiting cases for _ or _ and _ .