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数学建模对枣片真空干燥的影响。

Mathematical modeling on vacuum drying of Zizyphus jujuba Miller slices.

机构信息

Department of Food Science & Engineering, Daegu University, Gyeongsan, Gyeongbuk 712-714 Korea.

出版信息

J Food Sci Technol. 2013 Feb;50(1):115-21. doi: 10.1007/s13197-011-0312-5. Epub 2011 Feb 11.

Abstract

The thin-layer vacuum drying behavior of Zizyphus jujuba Miller slices was experimentally investigated at the temperature of 50, 60, and 70 °C and the mathematical models were used to fit the thin-layer vacuum drying of Z. jujuba slices. The increase in drying air temperature resulted in a decrease in drying time. The drying rate was found to increase with temperature, thereby reducing the total drying time. It was found that Z. jujuba slices with thickness of 4 mm would be dried up to 0.08 kg water/kg dry matter in the range of 180-600 min in the vacuum dryer at the studied temperature range from 70 to 50 °C. The Midilli et al. model was selected as the most appropriate model to describe the thin-layer drying of Z. jujuba slices. The diffusivity coefficient increased linearly over the temperature range from 1.47 × 10(-10) to 3.27 × 10(-10) m(2)/s, as obtained using Fick's second law. The temperature dependence of the effective diffusivity coefficient followed an Arrhenius-type relationship. The activation energy for the moisture diffusion was determined to be 36.76 kJ/mol.

摘要

在 50、60 和 70°C 的温度下,实验研究了枣片的薄层真空干燥行为,并使用数学模型拟合了 Z. 枣片的薄层真空干燥。干燥空气温度的升高导致干燥时间缩短。发现干燥速率随温度升高而增加,从而缩短了总干燥时间。结果表明,在研究温度范围内(70-50°C),真空干燥器中厚度为 4mm 的枣片在 180-600min 内可干燥至 0.08kg 水/kg 干物质。米利迪等人的模型被选为描述 Z. 枣片薄层干燥的最合适模型。通过菲克第二定律,在 1.47×10(-10) 到 3.27×10(-10) m(2)/s 的温度范围内,扩散系数呈线性增加。有效扩散系数随温度的变化遵循阿仑尼乌斯型关系。水分扩散的活化能确定为 36.76kJ/mol。

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