Premium
Solution For Heat Flow in Soil with a Heat Source at a Fixed Depth
Author(s) -
Álvarez J.,
Sobrón F.,
Bolado S.
Publication year - 1996
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1996.03615995006000040010x
Subject(s) - heat transfer , greenhouse , soil thermal properties , environmental science , heat flux , heat exchanger , laplace transform , mechanics , sensible heat , heat sink , soil science , atmospheric sciences , mathematics , geology , thermodynamics , physics , soil water , mathematical analysis , horticulture , field capacity , biology
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.