Research Article | OPEN ACCESS
Mathematical Modeling of Heat Distribution for the Pan in a Baking Oven
1Yuanhua Li, 1Heng Liu, 2Lucheng Xie and 1Xianlu He
1Department of Mathematics and Computational Science
2Department of Life Science, Huainan Normal University, Huainan 232038, China
Advance Journal of Food Science and Technology 2015 10:747-750
Received: January ‎19, ‎2015 | Accepted: February ‎14, ‎2015 | Published: July 10, 2015
Abstract
In this study, we give mathematical models to give the heat distribution around the pan’s exterior edges. By applying Fourier's law, the mathematical models of heat distribution are designed. Models of instantaneous heat flux density on the pans in the baking oven are then constructed for pans with different shapes from rectangular to circular. Finally, simulation results are given to show the effectiveness of our methods.
Keywords:
Baking oven, heat transfer, mathematical modeling for heat transfer,
References
-
Abraham, J.P. and E.M. Sparrow, 2004. A simple model and validating experiments for predicting the heat transfer to a load situated in an electrically heated oven. J. Food Eng., 62(4): 409-415.
CrossRef
-
Broyart, B. and G. Trystram, 2002. Modelling heat and mass transfer during the continuous baking of biscuits. J. Food Eng., 51: 47-57.
CrossRef
-
Isleroglu, H., T. Kemerli, M.S. Yilmazer, G. Guven, O. Ozdestan, A. Uren and F.K. Ertekin, 2012. Effect of steam baking on acrylamide formation and browning kinetics of cookies. J. Food Sci., 77(10): 257-263.
CrossRef PMid:22950636
-
Khatir, Z., H. Thompson, N. Kapur, V. Toropov and J. Paton, 2013. Multi-objective Computational Fluid Dynamics (CFD) design optimisation in commercial bread-baking. Appl. Therm. Eng., 60(1): 480-486.
CrossRef
-
Lostie, M., R. Peczalski, J. Andrieu and M. Laurent, 2002. Study of sponge cake batter baking process. II. Modeling and parameter estimation. J. Food Eng., 55(4): 349-357.
CrossRef
-
Mondal, A. and A.K. Datta, 2008. Bread baking: A review. J. Food Eng., 86(4): 465-474.
CrossRef
-
Ozilgen, M. and J.R. Heil, 1994. Mathematical modelling of transient heat and mass transport in a baking process. J. Food Process. Pres., 18: 133-148.
CrossRef
-
Ploteau, J.P., V. Nicolas and P. Glouannec, 2012. Numerical and experimental characterization of a batch bread baking oven. Appl. Therm. Eng., 48: 289-295.
CrossRef
-
Sablani, S.S., M. Marcotte, O.D. Baik and F. Castaigne, 1998. Modeling of simultaneous heat and water transport in the baking process. Lebensm-Wiss. Technol., 31: 201-209.
CrossRef Direct Link
-
Sakin, M., F. Kaymak-Ertekin and C. Ilicali, 2007a. Modeling the moisture transfer during baking of white cake. J. Food Eng., 80: 822-831.
CrossRef
-
Sakin, M., F. Kaymak-Ertekin and C. Ilicali, 2007b. Simultaneous heat and mass transfer simulation applied to convective oven cupcake baking. J. Food Eng., 83: 463-474.
CrossRef
-
Sakin, M., F. Kaymak-Ertekin and C. Ilicali, 2009. Convection and radiation combined surface heat transfer coefficient in baking ovens. J. Food Eng., 94: 344-349.
CrossRef
-
Savoye, I., G. Trystram, A. Duquenoy, P. Brunet and F. Marchin, 1992. Heat and mass transfer dynamic modeling of an indirect biscuit baking tunnel-oven. Part I: Modeling principles. J. Food Eng., 16: 173-196.
CrossRef
-
Tong, C.H. and D.B. Lund, 1990. Effective moisture diffusivity in porous materials as a function of temperature and moisture content. Biotechnol. Progr., 6: 67-75.
CrossRef
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2042-4876
ISSN (Print): 2042-4868 |
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