生物材料冻干过程分形多孔介质传热传质模拟

    Simulation of heat and mass transfer in fractal porous media during freeze drying of biological materials

    • 摘要: 为了研究生物材料冻干过程中的超常传热传质机理,建立了考虑已干层分形特点的冻干模型,水蒸气和惰性气体在已干层中的连续方程采用了分形多孔介质中的扩散方程,扩散系数随已干层厚度的增加呈指数下降。该理论模型可确定已干层的分形特点对生物材料冻干过程升华界面的移动和干燥时间的影响,预测生物材料冻干过程中物料内部温度和结合水浓度的分布。以螺旋藻为对象,利用分形模型借助Matlab和Fluent软件模拟了螺旋藻的冻干过程,模拟结果与试验结果吻合较好。

       

      Abstract: A mathematical model of freeze-drying process was developed for the biological materials. The model described here took into account the fractal feature of the dried layer. The continuity equations for the water vapor and the inert gas in the dried layer used the diffusivity equation of the fractal porous medium, and the Knudsen diffusivity decreased exponentially with the dried layer thickness. The model was capable of predicting the influence of the fractal feature of the dried layer on the motion of the sublimation interface and the drying time of the freeze-drying process of biological materials. The model could also predict the temperature profile and the concentration of bound water profile in biological materials during the freeze-drying process. The freeze-drying process of spirulina in glass vial was simulated using fractal model by software Matlab and Fluent. The simulation results agree with the experimental data.

       

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