黑莓渗糖过程中水分和溶质扩散的数学模型

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  • (1. 江苏省食品先进制造装备技术重点实验室,江苏 无锡  214122;2. 江南大学机械工程学院,江苏 无锡  214122)

网络出版日期: 2018-03-15

基金资助

国家自然科学基金项目(21606109);江苏省前瞻性联合研究项目(2016022-10)

Mathematical model of water and solute diffusion in blackberry during sugar osmotic dehydration process

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  • (1. Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology, Wuxi, Jiangsu 214122, China; 2. School of Mechanical Engineering, Jiangnan University, Wuxi, Jiangsu 214122, China)

Online published: 2018-03-15

摘要

以黑莓-白糖固液体系为研究对象,研究了黑莓在不同条件糖溶液中的渗透脱水规律,得出了渗糖过程中水分和溶质扩散的数学模型。渗透液的浓度选取40%、50%、60%,溶液的温度选取 30 ℃、40 ℃、50 ℃,糖溶液和黑莓的质量比为10:1,渗透脱水时间为0~5 h。利用Azuara等提出的双组分系统数学模型得到了每种实验条件下黑莓样品最终渗透平衡状态时的失水率和固形物增加率,结果表明,在一定实验条件范围内,黑莓脱水率和固形物增加率均随渗透液浓度、渗透时间和溶液温度的增大而增大;同时使用菲克第二定律估算了每种试验条件下水分和糖的有效扩散系数,上述渗透条件下水分和糖的有效扩散系数分别在1.77×10-9~2.10×10-9m2/s和1.36×10-9~1.60×10-9m2/s范围内。

本文引用格式

宋春芳 , 吴涛 , 罗归一, 等 . 黑莓渗糖过程中水分和溶质扩散的数学模型[J]. 食品与发酵工业, 2018 , 44(2) : 68 . DOI: 10.13995/j.cnki.11-1802/ts.014965

Abstract

In this study, mass transfer during osmotic dehydration of blackberry in sugar solution was investigated. The osmotic solution concentrations used were 40%, 50% and 60% (w/w) sugar, osmotic solution temperatures used were 30 ℃, 40 ℃ and 50 ℃, the solution-to-blackberry mass ratio was 10:1 (w/w) and the process duration varied from 0 to 5 hr. A two-parameter mathematical model developed by Azuara et al. was used for describing the mass transfer in osmotic dehydration of blackberry samples and estimation of the final equilibrium moisture loss and solid gain. The results showed that the dehydration rate and solid gain rate of blackberry were increased with the increase of osmotic concentration, osmotic time and temperature of the solution under certain experimental conditions. Effective diffusivity of moisture as well as solute was estimated using the analytical solution of Fick’s second law of diffusion. For above conditions of osmotic dehydration, moisture and sugar effective diffusivities were found to be in the range of 1.77×10-9-2.10×10-9and 1.36×10-9-1.60×10-9m2/s, respectively.
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