A 3D model for simulating the spatial and temporal distribution of temperature within ellipsoidal fruit

A physical model simulating the spatio-temporal distribution of temperature in an ellipsoidal fruit has been developed. It is based on the numerical resolution of the three-dimensional (3D) unsteady heat conduction equation with unsteady and non-homogeneous heat fluxes as boundary conditions. The nu...

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Bibliographic Details
Published in:	Agricultural and forest meteorology Vol. 147; no. 1; pp. 1 - 15
Main Authors:	Saudreau, Marc, Sinoquet, Hervé, Santin, Olivier, Marquier, André, Adam, Boris, Longuenesse, Jean-Jacques, Guilioni, Lydie, Chelle, Michaël
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 12-11-2007 Oxford Elsevier New York, NY Elsevier Masson
Subjects:	Agricultural and forest climatology and meteorology. Irrigation. Drainage Agricultural sciences Agronomy. Soil science and plant productions apples Biological and medical sciences diffusion Dynamics equations Fruit fruiting fruits (plant anatomy) Fundamental and applied biological sciences. Psychology General agronomy. Plant production heat transfer Life Sciences Malus domestica mathematical models membrane permeability Microclimate Modeling peaches physical models plant development plants Prunus persica shape Silviculture, forestry spatial variation Temperature temporal variation Three-dimensional water vapor Temperature Fruit Three-dimensional Microclimate Dynamics Modeling Biometeorology Dynamic characteristic Physical environment Time distribution Three dimensional model Spatial distribution Simulation model MICROCLIMATE DYNAMICS PECHER MODELING THREE DIMENSIONAL
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Summary:	A physical model simulating the spatio-temporal distribution of temperature in an ellipsoidal fruit has been developed. It is based on the numerical resolution of the three-dimensional (3D) unsteady heat conduction equation with unsteady and non-homogeneous heat fluxes as boundary conditions. The numerical scheme and the physical models have been tested by comparing with an analytical solution for simple configurations. The model quality has been assessed by comparing model outputs to temperature measured with thermocouples at several locations in isolated peach and apple fruits. The root mean square error (RMSE) for temperature simulated at a 1 min time step was about 0.8 °C. A sensitivity analysis showed that accurate estimations of the surface conductance to water vapor diffusion and of the thermal conductivity are necessary. The model has also been used for identifying the main microclimate variables governing temperature dynamics within fruits.
Bibliography:	http://dx.doi.org/10.1016/j.agrformet.2007.06.006 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0168-1923 1873-2240
DOI:	10.1016/j.agrformet.2007.06.006