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This article in SSSAJ

  1. Vol. 60 No. 4, p. 1028-1035
    Received: July 26, 1993

    * Corresponding author(s): javier@siq.iq.cie.uva.es
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Solution For Heat Flow in Soil with a Heat Source at a Fixed Depth

  1. J. Álvarez ,
  2. F. Sobrón and
  3. S. Bolado
  1. Servicio de Investigación Agraria, P.O. Box 172, 47080 Valladolid, Spain
    Dep. of Chemical Engineering, Univ. of Valladolid



We developed a computationally efficient model for estimating the transient soil temperature distributions resulting from a heat source at a fixed depth beneath a greenhouse. The model was developed for use as a submodel of the air-soil systems in greenhouses where the soil is used as a heat storage medium, with a network of buried pipes acting as a heat exchanger. The model assumes soil thermal properties are spatially and temporally constant and that energy transfer between the greenhouse and soil is primarily a result of net radiation and sensible heat transfer. First-order energy transfer terms are also used to account for lateral energy exchanges with the surrounding soil and the heat source is included as a plane at a fixed depth. This was achieved by obtaining a Green's function solution in the Laplace domain and performing a numerical inversion with a fast Fourier-transform algorithm, which requires very little computational time. Model parameters are optimized using a Simplex algorithm during a 3-d simulation to show the ability of the method to describe the greenhouse soil temperature. This method provides a reasonable description of the heat flux under these conditions.

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