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Transcript
Coupled heat and mass transfers in a solid foam with water phase
transitions. Application to a model foam and bread.
Jean-Yves Monteau1, Nasser Hamdami2, Vanessa Jury1, Alain Le Bail1
1
ENITIAA, UMR GEPEA (UMR CNRS 6144) rue de la Géraudière, B.P. 82225, 44322
Nantes cedex 3, France
2
Department of Food Science and Technology, College of Agriculture, Isfahan University of
Technology, Isfahan 84156, Iran
The industrial manufacturing of bread is made of empirical practices without precise
knowledge of all mechanisms which govern heat and mass transfers during various processes:
baking, chilling and eventually freezing and thawing. This paper presents a synthesis of works
achieved to fill this gap. The objective is to develop a coupled heat and mass transfers model
in the case of solid foams. The establishment of such a model requires the knowledge of all
thermophysical properties in the considered foam. The model has first been designed for the
case of a solid model foam (cellulose sponge), and then applied to a real product (bread).
Experimental procedures used to determine the mass diffusivity and the thermal conductivity
are described. Models of these properties and a model of the heat and mass transfers are
described. Results show that mass diffusivity increases when water content decreases. The
moisture diffusivity of the crust was also evaluated and was smaller than that of crust. For the
thermal conductivity, a Krischer’s model was used; this model combines heat transfer in
parallel layers and heat transfer in serial layers of materials. The parallel to serial ratio was
used to adjust the model to the experiments. This model shows that evaporation plays a major
role in heat transfer at positive temperatures for solid foams with high porosity. For the partbaked bread, the parallel ratio is more important than the serial one during the chilling, and
becomes exclusive, after thawing, at baking temperatures of the crumb. Heat and mass
transfers model was validated against experimental results in selected cases; for example
temperature evolutions were determined and moisture profile was determined at the end of the
experiments (i.e. freezing). In the case of bread freezing, the model revealed an inverse water
content profile (more water in surface than in the center) at the end of the freezing for the
model foam material. The use of this model for the bread reveals an ice crystal concentration
more important under the crust than elsewhere at the end of the freezing. We conclude about
the importance of the various water phases in the heat and mass transfer in solid foams.