段智英, 郭玉明, 王福贵. 基于格子Boltzmann方法分析果蔬真空冷冻干燥冻干速率[J]. 农业工程学报, 2016, 32(14): 258-264. DOI: 10.11975/j.issn.1002-6819.2016.14.034
    引用本文: 段智英, 郭玉明, 王福贵. 基于格子Boltzmann方法分析果蔬真空冷冻干燥冻干速率[J]. 农业工程学报, 2016, 32(14): 258-264. DOI: 10.11975/j.issn.1002-6819.2016.14.034
    Duan Zhiying, Guo Yuming, Wang Fugui. Vacuum freeze-drying rate of fruits and vegetables based on lattice boltzmann method[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2016, 32(14): 258-264. DOI: 10.11975/j.issn.1002-6819.2016.14.034
    Citation: Duan Zhiying, Guo Yuming, Wang Fugui. Vacuum freeze-drying rate of fruits and vegetables based on lattice boltzmann method[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2016, 32(14): 258-264. DOI: 10.11975/j.issn.1002-6819.2016.14.034

    基于格子Boltzmann方法分析果蔬真空冷冻干燥冻干速率

    Vacuum freeze-drying rate of fruits and vegetables based on lattice boltzmann method

    • 摘要: 为实现果蔬真空冷冻干燥水分在线检测,研究果蔬冻干过程水分扩散运移规律及过程参数优化,该文基于格子Boltzmann方法以果蔬冻干过程孔隙度变化表达其冻干速率。由于果蔬在冻干过程中孔隙度会随着冰晶的升华而发生相应变化,水分扩散路径及孔隙度由外向内逐渐变化,运用格子Boltzmann方法和动力学能量守恒定律,模拟分析了果蔬冻干水分扩散速率变化分布情况,建立了孔隙度线性变化的多孔介质模型,结果表明多孔介质类果蔬孔隙度变化越大冻干速率就越大。试验验证以苹果为试材,在冻干1、3、5、7 h测取苹果样品含水率和对应的水分运移边界位置,并在苹果冻干样本水分运移边界处进行电镜微观拍片与孔隙度图像信息采集处理,获得相应的孔隙度试验值,通过对水分扩散边界位置与孔隙度相关性分析可知,苹果冻干过程孔隙度由内向外呈线性增加。进而导出含水率与孔隙度、孔隙度变化与干燥速率的相关关系,得知孔隙度的变化与冻干速率呈正比,试验验证与模拟结论相一致。表明多孔介质的孔隙度可作为物料内部流体传输的表征参数,可应用孔隙度的变化来表达冻干速率。该研究为冻干过程参数优化与机理分析提供了参考,在冻干水分在线监测等方面提供了应用基础。

       

      Abstract: Abstract: Compared with other drying methods, vacuum freeze-drying (VFD) has better rehydration property, which can keep the original quality and color to the maximum extent, and has broader application prospects in such fields as food, medicine and biological products. In order to realize the on-line monitoring of moisture ratio, it is important to research the rules of moisture diffusion and the parameter optimization of VFD process within fruits and vegetables. In this paper, the drying ratio in VFD process was expressed with the change of porosity for fruits and vegetables based on Lattice Boltzmann Method (LBM). During the VFD process, ice crystals' sublimation begins at the material surface, and then goes into the inside gradually; the drying layer gets thicker and thicker, and the frozen layer thinner and thinner. Accordingly, the porosity in different parts of the material is different: the porosity at the edge expands quickly with the earliest sublimation and the value is the biggest at last, while the porosity at the center stays stable, and its value is the smallest. Based on the analysis of VFD process of fruits and vegetables, the paper constructed a square porous media model. The porosity of the model was variable, and the model presumed that the porosity increased linearly from the center to the edges during the drying procedure. By using the LBM combined with the conservation laws of mass, momentum and energy, the VFD velocity distribution in the model was simulated. The results showed that the bigger the change of porosity, the higher the VFD velocity, which suggested that the change of porosity in porous media can express the drying rate in VFD process. Then the experiment took apples as samples to validate the results in the simulation. Cleaned and peeled, apples were cut into 10 mm × 17 mm × 17 mm rectangular samples by a sharp self-made knife and frozen in a refrigerator at -40℃ for 10-12 h. In a VFD machine, through the built-in computer in the machine and on-line moisture measurement system connected to the machine, the real-time data of drying apples were collected and the curve of drying was drawn. In different drying stages of apples (1, 3, 5 and 7 h), the distance between 4 different positions at water boundary and sample edge was measured with vernier calipers, the electron microscope scanning was used to observe apple samples surface, and the porosity of apples in different water boundary was got with the help of image processing software Photoshop 2015 and Matlab 7.0. Origin 8.5 software was adopted to analyze the correlation relationship between the location of water boundary and the porosity of apples with experimental data. The results found that the porosity of apples increased linearly from the center to the edges during the drying procedure. Origin 8.5 software was also adopted to analyze the correlation relationship between the moisture ratio and the porosity of apples with experimental data. The mathematical function between the drying rate and the change of porosity was deduced on the basis of the relationship between the moisture ratio and the porosity. The results found that the bigger the change of porosity, the higher the VFD velocity. All the results in the experiments were consistent with those in the simulation, which proved that the change of porosity of apples can express drying rate in VFD process and LBM can be used to analyze moisture migration diffusion and distribution in VFD process. The conclusions not only provide basis for parameter optimization of VFD process of fruits and vegetables, but also offer application infrastructure for on-line monitoring of moisture ratio.

       

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