AN ANALYTICAL SOLUTION TO ONE-DIMENSIONAL THERMAL CONDUCTION-CONVECTION IN SOIL

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Abstract
The equation of one-dimensional thermal conduction and convection in soil is solved analytically by applying the traditional harmonic method (HM) and the Laplace transform method (LTM). A simple method to determine accurate values of soil heat diffusivity and liquid water flux density is given. Using this method, we determined the soil thermal diffusivity, k = 0.85 × 10−6 m2 s−1, and liquid water flux density, W = 4.3 × 10−6 m3 s−1 m−2, for the Naqu site in the summer of 1998. An experimental evaluation of the proposed methods is also given.