A mathematical model for heat transfer from surrounding environment to a single food package is developed. A simplified analytical solution for three-dimensional (3D) unsteady temperature distribution in the food package with rectangular geometry taking into account the ambient temperature is obtained. The model is developed to be used as an efficient tool for estimating the effects of temperature abuse on the food product inside a single packaging unit. The food product is considered to be a homogenous solid body. The packaging material and air inside the package are modeled using an effective heat transfer coefficient. The developed model is validated by a comparison with experimental results obtained for fresh haddock fillets in expanded polystyrene (EPS) boxes exposed to temperature abuse and by comparison with numerical results obtained by the commercial software FLUENT. A satisfactory agreement was obtained between the experimental and numerical results.
Keywords:
Heat transfer / Temperature variation / Modeling / Unsteady-state / Fish / Packaging
Source:
International Journal of Refrigeration-Revue Internationale Du Froid, 2012, 35, 5, 1304-1317
Funding / projects:
CHILL-ON project as part of the Sixth Framework Programme, Priority 5, Food Quality and Safety FP6-016333-2
AVS R&D Fund of Ministry of Fisheries in Iceland
Technology Development Fund of the Icelandic Centre for Research
University of Iceland Research Fund, project "Hermun kaeliferla"
TY - JOUR
AU - Gospavić, Radovan
AU - Margeirsson, Bjorn
AU - Popov, Viktor
PY - 2012
UR - https://grafar.grf.bg.ac.rs/handle/123456789/427
AB - A mathematical model for heat transfer from surrounding environment to a single food package is developed. A simplified analytical solution for three-dimensional (3D) unsteady temperature distribution in the food package with rectangular geometry taking into account the ambient temperature is obtained. The model is developed to be used as an efficient tool for estimating the effects of temperature abuse on the food product inside a single packaging unit. The food product is considered to be a homogenous solid body. The packaging material and air inside the package are modeled using an effective heat transfer coefficient. The developed model is validated by a comparison with experimental results obtained for fresh haddock fillets in expanded polystyrene (EPS) boxes exposed to temperature abuse and by comparison with numerical results obtained by the commercial software FLUENT. A satisfactory agreement was obtained between the experimental and numerical results.
T2 - International Journal of Refrigeration-Revue Internationale Du Froid
T1 - Mathematical model for estimation of the three-dimensional unsteady temperature variation in chilled packaging units
EP - 1317
IS - 5
SP - 1304
VL - 35
DO - 10.1016/j.ijrefrig.2012.04.002
ER -
@article{
author = "Gospavić, Radovan and Margeirsson, Bjorn and Popov, Viktor",
year = "2012",
abstract = "A mathematical model for heat transfer from surrounding environment to a single food package is developed. A simplified analytical solution for three-dimensional (3D) unsteady temperature distribution in the food package with rectangular geometry taking into account the ambient temperature is obtained. The model is developed to be used as an efficient tool for estimating the effects of temperature abuse on the food product inside a single packaging unit. The food product is considered to be a homogenous solid body. The packaging material and air inside the package are modeled using an effective heat transfer coefficient. The developed model is validated by a comparison with experimental results obtained for fresh haddock fillets in expanded polystyrene (EPS) boxes exposed to temperature abuse and by comparison with numerical results obtained by the commercial software FLUENT. A satisfactory agreement was obtained between the experimental and numerical results.",
journal = "International Journal of Refrigeration-Revue Internationale Du Froid",
title = "Mathematical model for estimation of the three-dimensional unsteady temperature variation in chilled packaging units",
pages = "1317-1304",
number = "5",
volume = "35",
doi = "10.1016/j.ijrefrig.2012.04.002"
}
Gospavić, R., Margeirsson, B.,& Popov, V.. (2012). Mathematical model for estimation of the three-dimensional unsteady temperature variation in chilled packaging units. in International Journal of Refrigeration-Revue Internationale Du Froid, 35(5), 1304-1317.
https://doi.org/10.1016/j.ijrefrig.2012.04.002
Gospavić R, Margeirsson B, Popov V. Mathematical model for estimation of the three-dimensional unsteady temperature variation in chilled packaging units. in International Journal of Refrigeration-Revue Internationale Du Froid. 2012;35(5):1304-1317.
doi:10.1016/j.ijrefrig.2012.04.002 .
Gospavić, Radovan, Margeirsson, Bjorn, Popov, Viktor, "Mathematical model for estimation of the three-dimensional unsteady temperature variation in chilled packaging units" in International Journal of Refrigeration-Revue Internationale Du Froid, 35, no. 5 (2012):1304-1317,
https://doi.org/10.1016/j.ijrefrig.2012.04.002 . .
