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使用扩散模型描述姜黄(Curcuma longa)根茎干燥的边界条件比较。

Comparison of boundary conditions to describe drying of turmeric (Curcuma longa) rhizomes using diffusion models.

作者信息

da Silva Wilton Pereira, E Silva Cleide M D P S, Gomes Josivanda Palmeira

机构信息

Departamento de Física, Universidade Federal de Campina Grande, Campina Grande, PB Brazil.

Engenharia Agrícola, Universidade Federal de Campina Grande, Campina Grande, PB Brazil.

出版信息

J Food Sci Technol. 2014 Nov;51(11):3181-9. doi: 10.1007/s13197-012-0813-x. Epub 2012 Sep 5.

Abstract

Turmeric is harvested with high moisture content and should be dried before the storage. It is observed that drying is quickest when the rhizomes are peeled and cut in small cylindrical pieces. In order to describe the process, normally a diffusive model is used, considering boundary condition of the first kind for the diffusion equation. This article uses analytical solutions considering boundaries conditions of the first (model 1) and third (model 2) kinds coupled to an optimizer to describe the drying process. It is shown that, for model 1, the fit of the analytical solution to the experimental data is biased, despite the good statistical indicators (chi-square χ(2) equal to 1.7095 × 10(-3) and coefficient of correlation R(2) of 0.9988). For model 2, the errors of the experimental points about the simulated curve can be considered randomly distributed, and the statistical indicators are much better than those obtained for model 1: χ(2) = 3.5596 × 10(-4) and R(2) = 0.9996.

摘要

姜黄收获时含水量较高,储存前应进行干燥处理。据观察,将根茎去皮并切成小圆柱形块时干燥速度最快。为了描述该过程,通常使用扩散模型,考虑扩散方程的第一类边界条件。本文使用考虑第一类(模型1)和第三类(模型2)边界条件并结合优化器的解析解来描述干燥过程。结果表明,对于模型1,尽管统计指标良好(卡方χ(2)等于1.7095×10(-3),相关系数R(2)为0.9988),但解析解与实验数据的拟合存在偏差。对于模型2,实验点相对于模拟曲线的误差可视为随机分布,且统计指标比模型1好得多:χ(2)=3.5596×10(-4),R(2)=0.9996。

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