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El Helou, Patrick; Le Bideau, Pascal; Fuentes, Adrien; Glouannec, Patrick
Journal of food engineering, December 2024, 2024-12-00, Volume: 382Journal Article
This article deals with the in-mold cake baking process. The methodology relies on numerical and experimental investigations to validate a multiphysics developed model. This numerical model is next exploited to enhance the comprehension of the physical processes that occur during a typical cake baking phase. Based on the governing equations for heat and mass transport and under few assumptions (deformable porous medium, local thermodynamic equilibrium, ideal gas mixture …), the problem consists in solving a system of five coupled partial derivative equations. Temperature, moisture content, total gas pressure, porosity and displacement are used as state variables in this study. The swelling of the dough caused by the increase in total gas pressure is predicted by a viscoelastic model. This thermo-hydro-mechanical model is implemented in a finite element code. Moreover, an experimental laboratory set-up was developed to continually acquire temperatures, water losses and gas pressure inside the product. The browning kinetic is also studied. Furthermore, the cake deformation is tracked by camera. The numerical model is validated based on the conducted experiments. Different operating conditions are tested to verify the robustness of the model. Finally, a sensitivity analysis is performed to understand the impact of estimated parameters on the outputs of the developed model. •A multiphysics model is developed to predict the kinetics of in-mold cake baking.•Heat and mass transfer, mechanical behavior and product coloration are considered.•Numerical sensitivity of the model is investigated.•The numerical model is experimentally validated at two different temperatures.•Instrumented product, mold and oven are used to investigate the cake baking.
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