薄层干燥Thin-layer drying of spent grains in superheated steam
胡萝卜薄层干燥动力学模型研究_种翠娟

表 1 胡萝卜薄层干燥方案
Table 1 Scheme of thin layer drying for carrots
实验序号
风速/(m/s)
温度/℃
切片厚度/mm
1
0.6
60
2
2
0.6
60
4
3
0.6
60
6
4
0.6
60
8
5
0.6
60
10
6
0.6
40
4
7
0.6
50
4
8
0.6
70
4
9
0.4
60
4
10
0.8
Meanwhile, based on Fick’s diffusion law, the effective diffusion coefficients of water (Deff) in carrots were calculated and modeled as well. Results showed that the thin layer drying kinetics of carrots could be described by the Page equation, the
系数[14-16],它反映物料在一定干燥条件下的脱水能力, 也是干燥工艺优化的重要指标之一。
本研究通过对数转化与线性回归,求得Page模型[17-20] 的参数及相关系数,并以Fick定律[20-21]为依据,得到胡萝 卜沿轴向的水分扩散系数值。实验目标:1)分析风速、 温度、切片厚度等参数对干燥特性的影响;2)利用回归 分析得到动力学模型;3)利用DPS软件通过多元线性回 归分析,获得胡萝卜有效水分扩散系数模型。
魔芋薄层干燥试验及数学模型的建立

魔芋薄层干燥试验及数学模型的建立吴绍锋;邱兵涛;彭桂兰【摘要】在对魔芋进行三因素三水平薄层干燥试验的基础上,分析了热风温度(50、60、70℃)、风速(0.75、1.45、1.95 m/s)及芋片厚度(5、6、7 mm)对魔芋干燥速率的影响.试验表明,魔芋干燥时间随着热风温度的升高、风速的增大以及芋片厚度的减小而减少,且热风温度对魔芋干燥速率的影响最显著;用三个经典数学模型(Henderson and Pabis,Lewis和Page模型)及三次多项式模型对试验数据进行拟合,经拟合得出最适合魔芋干燥的模型为三次多项式模型;用BP神经网络建立魔芋干燥的数学模型,并与三次多项式模型的拟合结果进行对比,结果表明,BP神经网络拟合的含水率比平均相对误差为0.94%,精度明显高于三次多项式模型(5.64%).【期刊名称】《中国粮油学报》【年(卷),期】2016(031)008【总页数】6页(P105-110)【关键词】魔芋;薄层干燥;数学模型;BP神经网络【作者】吴绍锋;邱兵涛;彭桂兰【作者单位】西南大学工程技术学院,重庆400715;西南大学工程技术学院,重庆400715;西南大学工程技术学院,重庆400715【正文语种】中文【中图分类】S375魔芋属天南星科魔芋属,具有重要的药用、食用及工业价值[1]。
一般白魔芋含水率为80%~85%,花魔芋含水率可达90%[1],所以除少量鲜用外,大部分魔芋必须在短期内进行干燥。
干燥能大大减少农产品的水分和微生物的活性,并最大限度地减少其在存储期间的物理和化学变化,提高农产品质量的稳定性[2]。
因此,研究魔芋薄层干燥试验的研究对魔芋的储藏、包装和运输具有重要意义。
目前,已有许多学者对农产品进行了薄层干燥研究,Shi等[3]在不同的热风温度(5、15、25、35、45℃)和风速(0.5、1.0、1.5、2.0 m/s)的条件下,研究了雪莲果的干燥特性,结果表明干燥时间随着温度和风速的增加而减少,且在8种数学模型中,Midilli模型是最适合描述雪莲果干燥特性的模型,该研究中温度采用了5个水平,风速采用了4个水平,较多的水平可以更好的反应因素对雪莲果干燥特性的影响;Le 等[4]在不同的干燥温度(40、50、60 ℃)和不同的相对湿度(30%、45%、60%)的情况下,研究了最适合油菜籽的薄层干燥模型和有效水分扩散系数,结果表明Page模型是描述油菜籽薄层干燥特性最好的模型,干燥过程中的有效水分扩散系数在1.72×10-11~3.31 × 10-11 m2/s 之间变化;Magdalena 等[5]研究了温度对胡萝卜干燥动力学的影响,并得出Two-term模型是描述胡萝卜干燥特性的最佳模型,该研究采用的描述胡萝卜干燥特性的数学模型较少,且没有新的数学模型;王宁等[6]在较低温度下采用旋转组合设计对杏进行了薄层干燥试验,确定杏在较低温度下的干燥模型为Wang-Singh 方程,该模型能较好地描述干燥过程中杏的水分比与干燥时间的关系;孟岳成等[7]研究了不同温度(60、70、80 ℃)、风速(0.8、1.2、1.6 m/s)和厚度(0.6、0.9、1.2 cm)条件下红薯的热风干燥特性,发现Wang and Singh模型的拟合程度最高,该研究采用了12种数学模型进行拟合,所得到的适合红薯干燥特性的最佳模型更具说服力;关志强等[8]利用热泵干燥装置探讨了热风温度和热风风速对荔枝果肉干燥水分比MR和干燥速率U的影响,得出Page模型是描述荔枝果肉薄层热风干燥过程的最优模型。
南瓜片中短波红外干燥特性及薄层干燥模型分析

HONG Senhui, LI Hui, JIE Zhuojia (College of Biological Science and Technology, Minnan Normal University, Zhangzhou 363000, China)
分析检测 Analysis and Testing
降血糖、抗氧化、抗癌、降血压、消炎等多种保健功能 [2], 是一种深受消费者喜爱的蔬菜。然而,南瓜的含水量高 达 90% 以上,极易滋生微生物而导致腐败变质。选择科 学、合适的干燥方法将新鲜南瓜进行干燥,既能保证 南瓜的常年供应,也是解决南瓜贮运问题的有效途径 之一。目前,已有关于南瓜热风干燥 [3]、真空干燥 [4]、 喷雾干燥 [5]、微波真空干燥 [6]、真空冷冻干燥 [7] 的研究 报道,但关于南瓜中短波红外干燥的研究鲜有报道。
量为 842.77 万 t,约占世界总产量的 36.8%,居世界首位 [1]。 南瓜营养丰富,富含类胡萝卜素、生物碱、黄酮、多酚、 鞣质、生育酚、植物甾醇和葫芦素等活性成分,具有
基金项目:福建省引导性科技项目计划(2019N0055);福建省自然科学基金青年创新项目(2016J05085); 漳州市自然科学基金项目(ZZ2020J27);闽南师范大学校内科研项目(MK201704)。
Keywords: pumpkin; medium and short-wave infrared drying; drying kinetics; effective water diffusion coefficient; activation energy
中图分类号:TS255.3
木薯酒糟临界含水量与干燥曲线

刘 琨等 木薯酒糟临界含水量与干燥曲线
·23 ·
需干燥时间越短, 故提高风量对过程有利, 但应 以不带出物料为宜。
下, 料层越薄, 含水量越低; 在相同的含水量下, 料层越薄, 所需干燥时间越短, 故对木薯酒槽的 薄层干燥, 物料薄而均匀, 对干燥过程有利。
综上所述, 对木薯酒糟物料的薄层干燥, 在 一定的允许范围内, 提高干燥温度和干燥介质流 量, 减薄物料层厚度对过程有利。
1, 二者吻合程度令人满意。由式 ( 3) 可求出该干 燥条件下物料干燥至任一含水量所需 的干燥时
· 22 · 化 学 工 程 1999 年第 27 卷第 3 期
间, 为干燥器的设计提供依据。
图 3 为 相同风量、初 始含水量 和物料厚 度 时, 温度分别为 80℃, 90℃和 100℃的干燥曲线。 可见, 在相同的干燥时间下, 温度越高, 产品含 水量越低; 在相同的含水量下, 温度越高, 所需 干燥时间越短。由此认为, 提高干燥温度对过程 有利, 但鉴于物料为热敏性, 温度过高, 营养成 分被破坏, 根据经验拟以 100℃干燥为宜。
S2
X
*
)
ln(
X X
c 2
-
X X
* *
)
在两干燥阶段的分界点, 即临界点处, 应有 u1 =
u2 , 即
G c( X o S
S1
X c)
=
Gc(
Xc S
S2
X
*
)
ln(
X X
c 2
-
X* X*
)
则
Xo S1
Xc =
Xc - X* S2
ln(
X X
c 2
-
X* X*
枸杞热风干燥特性及数学模型

枸杞热风干燥特性及数学模型贾清华;赵士杰;柴京富;徐志成【摘要】利用GZ-1型干燥试验装置,在不同热风温度和风速条件下进行枸杞的热风干燥动力学试验,获得枸杞的干燥曲线和干燥速率曲线,并分析了热风温度和风速对干燥速度的影响.试验结果表明:热风温度是影响干燥速度的主要因素,风速是次要因素;试样在干燥前经过NaOH溶液处理后,其外观品质有显著的提高,且在较低温度条件下提高了枸杞干燥的速度;通过实验数据的拟合比较,得知指数模型的拟合效果最好.【期刊名称】《农机化研究》【年(卷),期】2010(032)006【总页数】5页(P153-157)【关键词】枸杞;热风干燥;干燥特性;数学模型【作者】贾清华;赵士杰;柴京富;徐志成【作者单位】内蒙古农业大学,机电工程学院,呼和浩特,010018;内蒙古农业大学,机电工程学院,呼和浩特,010018;南昌航空大学,航空制造工程学院,南昌,330063;内蒙古农业大学,机电工程学院,呼和浩特,010018【正文语种】中文【中图分类】S226.60 引言枸杞是茄科多年生落叶灌木果,广泛分布于世界各地,全世界约有80多种。
我国几乎所有省份均有野生或栽培的枸杞,其中最负盛名的是宁夏枸杞[1]。
枸杞含有丰富的营养成分和药理活性成分,具有较高的食用价值,是理想的健身佳品。
我国枸杞干制广泛采用晒干或烘干等传统技术,存在生产成本低、有效成分损失大和品质差等缺点。
为了克服传统技术的不足,在此基础上研究出热风干燥、真空冷冻干燥、微波干燥和远红外干燥等新型干燥技术,其中热风干燥技术在目前是应用较普遍的干燥技术。
本试验利用GZ-1型热风干燥试验装置进行试验,分析在不同温度和不同风速下枸杞的热风干燥特性,进而揭示枸杞的热风干燥规律,为干燥的过程控制和预测提供理论依据。
1 试验设备与研究方法1.1 试验设备1.1.1 热风干燥箱本试验使用的是由华南理工大学科技实业总厂生产的GZ-1型干燥试验装置。
猕猴桃片的热风干燥特性_邓红

2014年第40卷第11期(总第323期)165DOI :10.13995/j.cnki.11-1802/ts.201411029猕猴桃片的热风干燥特性*邓红,尤毅娜,李宁,王珂,孟永宏,郭玉蓉(陕西师范大学食品工程与营养科学学院,陕西西安,710062)摘要以猕猴桃片为原料,采用热风法对猕猴桃进行薄层干燥试验。
通过对不同热风温度的探讨获得了猕猴桃片在热风干燥条件下温度和水分变化的基本规律。
结果表明:猕猴桃片热风干燥失水速率前期比后期要快,干燥过程中没有恒速干燥阶段,只存在降速干燥;热风干燥下(温度100ħ时)猕猴桃的有效水分扩散系数和干燥活化能分别是10.421ˑ10-8m 2/s 和26.60kJ /mol ;同时建立的猕猴桃片薄层干燥数学模型方程为MR=exp[-(0.09762-0.002888t +0.00002123t 2)t (0.2018-0.0548t -0.0002989t 2)],模型符合Page 方程MR=exp (-ktn ),且模型预测值和试验值具有很好的拟合度。
关键词猕猴桃,热风干燥,薄层干燥模型第一作者:博士,副教授(孟永宏副教授为通讯作者,E-mail :mengyonghong@ )。
*农业部产业体系建设项目(CGRS-28)及中央高校基本科研业务专项经费项目(GK261001330)资助收稿日期:2014-07-16,改回日期:2014-08-20猕猴桃(Actinidia chinensis ,英文名称yangtao ki-wifruit )原产我国长江流域,是猕猴桃科猕猴桃属(Ac-tinidia L.)的落叶藤本植物[1]。
猕猴桃果实营养丰富,富含多种矿物质、氨基酸和果酸,尤其V C 含量极为丰富,被誉为“水果之王”[2-3]。
本研究以开发具有猕猴桃和果粉的双重优势和市场前景广阔的猕猴桃粉为出发点,对猕猴桃片的干燥特性进行探讨,通过干燥曲线掌握猕猴桃片热风干燥的基本规律,得到猕猴桃片的有效水分扩散系数和干燥活化能,并且建立薄层干燥方程,确定了猕猴桃片的干燥温度。
稻谷薄层热风干燥工艺优化及数学模型拟合

稻谷薄层热风干燥工艺优化及数学模型拟合尹晓峰1,杨明金1,李光林1,张先锋2,周玉华2,杨 玲1,*(1.西南大学工程技术学院,丘陵山区农业装备重庆市重点实验室,重庆 400715;2.重庆市农业科学院农业机械研究所,重庆 401329)摘 要:对稻谷进行薄层热风干燥,采用正交试验方法研究稻谷在不同热风温度、初始含水率和热风风速条件下的热风干燥特性,比较10 种数学模型在稻谷热风干燥中的适用性。
结果表明:稻谷在热风干燥过程中没有出现明显的恒速干燥阶段,且干燥主要发生在降速干燥阶段;热风温度是影响稻谷热风干燥的最主要因素,其次是初始含水率;取初始含水率20%、热风温度50 ℃、热风风速1.4 m/s的方案为稻谷的最优热风干燥工艺,此时的最佳数学模型为Page模型;缓苏可有效抑制稻谷的爆腰率,缓苏温度越高,缓苏时间越长,缓苏效果越好;当初始含水率24%、热风温度40 ℃时,实验值和模型值的相对平均误差分别为1.563%和1.474%,表明模型预测的干燥曲线和实验所得的干燥曲线一致性较好;随着热风温度的升高,稻谷的有效水分扩散系数变大,经热风温度从40 ℃升高到60 ℃,其有效水分扩散系数由9.69×10-10 m2/s增加到10.77×10-10 m2/s,稻谷的干燥活化能为47.1 kJ/mol。
关键词:热风干燥;数学模型;有效水分扩散系数;爆腰率;活化能;稻谷Optimization and Mathematical Modeling of Thin Layer Hot-Air Drying of Rough RiceYIN Xiaofeng1, YANG Mingjin1, LI Guanglin1, ZHANG Xianfeng2, ZHOU Yuhua2, YANG Ling1,*(1. Chongqing Key Laboratory of Agricultural Equipment for Hilly and Mountainous Regions,College of Engineering and Technology, Southwest University, Chongqing 400715, China;2. Chongqing Academy of Agricultural Machinery Institute, Chongqing 401329, China)Abstract: The thin layer hot-air drying characteristics of rough rice as a function of hot-air temperature, initial moisture content and air velocity were investigated by using an orthogonal array design and the applicability of 10 mathematical models for the hot-air drying process of rough rice was compared. The results showed that no apparent constant-rate drying period existed in the hot-air drying process, and moisture removal mainly occurred in the falling-rate drying period; hot-air temperature was the main factor that affects the hot-air drying, followed by air velocity. The optimal hot-air drying conditions for rough rice were determined as follows: initial moisture content, 20%; hot-air temperature, 50 ℃ and air velocity, 1.4 m/s.The Page Model was found to be the best mathematical model for describing the drying characteristics of rough rice under these conditions; tempering could effectively inhibit the occurrence of fissuring, and a better effect was observed by raising tempering temperature and prolonging tempering time. Under the conditions of initial moisture content of 24% and air velocity of 1.4 m/s, the relative mean deviation between the experimental and predicted results were 1.563% and1.474%, respectively. The predictive drying curves fitted well the experimental data. With temperature increase from 40 ℃to 60 ℃, the effective moisture diffusion coefficient of rough rice increased from 9.69 × 10-10 to 10.77 × 10-10 m2/s, and the activation energy for rough rice drying was 47.1 kJ/mol.Key words: hot-air drying; mathematical model; effective moisture diffusion coefficient; fissure ratio; activation energy; rough rice DOI:10.7506/spkx1002-6630-201708031中图分类号:TS205.1 文献标志码:A 文章编号:1002-6630(2017)08-0198-08引文格式:尹晓峰, 杨明金, 李光林, 等. 稻谷薄层热风干燥工艺优化及数学模型拟合[J]. 食品科学, 2017, 38(8): 198-205.DOI:10.7506/spkx1002-6630-201708031. YIN Xiaofeng, YANG Mingjin, LI Guanglin, et al. Optimization and mathematical modeling of thin layer hot-air drying of rough rice[J]. Food Science, 2017, 38(8): 198-205. (in Chinese with English abstract) DOI:10.7506/spkx1002-6630-201708031. 收稿日期:2016-04-15基金项目:国家自然科学基金青年科学基金项目(31301575);重庆市科委自然科学基金项目(CSTC2012JJA80027)作者简介:尹晓峰(1989—),男,硕士研究生,研究方向为农业系统工程。
稻谷干燥模型数学模拟与神经网络仿真

稻谷干燥模型数学模拟与神经网络仿真摘要我国是一个人口大国.同时也是一个农业大国,我国的粮食总产景近年大约平均有5亿吨,每年收获的粮食有20%属高水分.约有8500y如电需要干燥。
如何使一年的劳动成果颗粒归仓,保证粮食丰产又丰收,是一个重要的研究课题。
为了对那些旧的、老式的、自动化程度不高的、烘干后粮食品质不好的谷物干燥机进行改进,则需要将现代化科技手段应用到粮食干燥过程的研究中来。
随着计算机技术的飞速发展,把计算机技术应用到粮食干燥过程的研究_L是司行的,是大势所趋。
国外对稻谷干燥问题进行了大量的研究工作,在单粒和薄层干燥研究的基础上,又开始了有实用价值的稻貉深床干燥的研究,提…了~‘些稻谷干燥的数学模型。
国内对稻谷干燥的研究从80年代开始。
一些专家、学者根据我国国情,在稻谷干燥理论和干燥技术上做了大量探讨,为设计适合我国特点的稻谷干燥系统提供了理论上的依据。
本课题以稻谷作为实验对象,根据前人所建立的稻谷单粒、薄层和深床三种干燥数学模型编写了稻谷干燥过程模拟计算程序,进行计算机模拟。
利用该程序可预测稻谷在改变干燥介质(空气)的入口温度和湿度、被干燥物料的初始湿含量和温度及床层厚度等因素的情况下,粮层中各点的湿含量和温度、干燥介质的出口湿度和温度随时间的变化,以此来研究上述几种因素对湿物料干燥速率的影响,并由此得到一个干燥物料(稻谷)的较合理的工艺过程,并可对谷物机械热风干燥的性能进行综合分析研究。
同时利用以上过程得出的计算机数学模拟结果,应用神经网络理论建立数学模型,对干燥过程进行仿真,为进一步实现干燥过程的计算机模糊控制提供依据。
系统软件应用MATLAB语言进行编程,程序简单易懂,界面清晰,可操作性强,模拟计算结果可以以曲线的形式输出,直观明了。
本课题以计算机和强大的应用软件MATLAB为手段,应用数值分析、热力学和神经网络等先进理论,对稻谷的干燥过程进行了数学模拟和神经网络仿真,为寻求稻谷干燥过程的最优化及全自动控制,提高我国的谷物干燥技术和粮食产品质量,增强我国粮食产品在国际市场上的竞争力具有十分重大意义。
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Thin-layer drying of spent grains in superheated steamZhongwei Tang a ,Stefan Cenkowskia,*,Marta IzydorczykbaDepartment of Biosystems Engineering,University of Manitoba,Winnipeg,MB,Canada R3T 5V6bGrain Research Laboratory,Canadian Grain Commission,303Main Street,Winnipeg,MB,Canada R3C 3G8Received 24April 2002;revised 21November 2003;accepted 29April 2004AbstractAn empirical equation with regression-determined coefficients was developed to describe thin-layer drying of brewers Õspent grain (BSG)and distillers Õspent grain (DSG)in superheated steam (SS).A small moisture gain on the sample surface due to steam condensation at the beginning of the drying caused the initial moisture ratio of the sample to increase to a value between 1.00and 1.20for BSG drying or between 1.00and 1.30for DSG drying.The moisture gain increased linearly with decreasing the temper-ature and/or velocity of steam.Unlike in hot-air drying,not only steam temperature but also steam velocity influenced the drying rate of BSG and DSG in SS.At 145°C,an increase in steam velocity from 0.3to 1.1m/s cut the drying time by half for both spent grains.Increasing the SS drying temperature from 110to 180°C decreased the starch content in samples dried to the equilibrium moisture at the SS velocity of 0.66m/s by 14.5%and 11.5%for BSG and DSG,respectively.Drying to the equilibrium in 145°C at a SS velocity of 0.66m/s caused the starch content in the samples to decrease by 22%for BSG and 23%for DSG compared with that in the non-dried material.The SS drying parameters had no effect on b -glucan,pentosan,and protein contents in the dried samples.Ó2004Elsevier Ltd.All rights reserved.Keywords:Brewers Õgrain;Distillers Õgrain;Superheated steam;Drying;Nutrient composition1.IntroductionSpent grains are the by-products from the production of alcoholic beverages and ethanol fuels.Brewers Õspent grain (BSG)is the residue of beer making in breweries,which use malted barley as the major raw material (Johnson &Peterson,1974).Distillers Õspent grain (DSG)is the product left in distilleries after alcohol is re-moved by distillation from the fermented grains such as corn,wheat,barley,rice,and rye (Wampler &Gould,1984;Woods,Husain,&Mujumdar,1994).Protein,fat,and fiber are highly concentrated in spent grains be-cause most of the starch in the raw materials has been removed and converted to alcohol and carbon dioxide during fermentation (Kissell &Prentice,1979;Wampler &Gould,1984).Therefore,spent grains are excellent sources of protein and energy.They are mainly used as feed for animals such as cattle and poultry,and they can also be used as flour supplement to produce human food products such as baked foods,extruded snacks,and baby foods (Rasco,Rubenthaler,Borhan,&Dong,1990;Wu,Sexson,&Lagoda,1984).To prolong the storage time of spent grains and to re-duce their mass (consequently to lower the transporta-tion cost),spent grains need to be dried to about 10%moisture content (wet basis,wb)(Woods et al.,1994).The traditional drying operation (e.g.,heated-air drying in rotary-drum dryers)is energy-intensive.To save0260-8774/$-see front matter Ó2004Elsevier Ltd.All rights reserved.doi:10.1016/j.jfoodeng.2004.04.040*Corresponding author.Tel.:+12044746033;fax:+12044747512.E-mail address:stefan_cenkowski@umanitoba.ca (S.Cenkowski)./locate/jfoodengJournal of Food Engineering 67(2005)457–465energy,superheated steam(SS)could be used for drying spent grains.Woods et al.(1994)proposed afluid-bed SS drying system for the drying of DSG.The circulation of SS in the closed-loop drying system can reduce the energy wastage that occurs with hot-air drying.Also,the ex-haust steam produced from the evaporation of moisture from the wet product can be used in other operations in the distilleries,such as cooking raw materials,stripping and rectifying distillation of ethanol,and concentrating residual stillage.In addition to the reduced energy consumption,drying in SS has numerous other merits compared with traditional hot-air drying.These are: a reduction in the environmental impact,an improve-ment in drying efficiency,the elimination offire or explosion risk,and a recovery of valuable volatile or-ganic compounds(Dibella,1996;Erdesz&Kudra, 1990;Jensen,1992;Meunier&Munz,1986;Wimmer-stedt,1995).However,the application of this drying technique needs more complex drying equipment com-pared with hot-air drying,and high-temperature of the product in SS drying creates a problem for tempera-ture-sensitive products(Kumar&Mujumdar,1990;Shi-bata,1991).Leading manufactures of drying equipment, looking for the most effective technique,introduced pressurized-steamfluid-bed dryers for dryingfibrous or granular materials(Bonazzi et al.,1996).Also,a number of products such as green teas,sugar-beet pulp, potatoes,noodles,lumber,paper,sludge,and activated carbon pellets have been studied and found to be suita-ble for processing and drying with SS(Douglas,1994; Markowski,Cenkowski,Hatcher,Dexter,&Edwards, 2003;Tang&Cenkowski,2000;Urbaniec&Malczews-ki,1997;Wimmerstedt&Hager,1996).To our knowledge,no systematic studies on drying spent grains using SS have been reported in the litera-ture except for the experimental drying of wheat-de-rived stillage in Europe(Woods et al.,1994).Drying kinetics of a layer of material in a drying-medium stream can be studied using a thin-layer drying ap-proach(Jayas,Cenkowski,Pabis,&Muir,1991),which can provide the base for modelling practical deep-bed drying.An equation describing thin-layer drying can be incorporated into a group of equations to describe the drying process of a deep bed of material.Thin-layer drying is a drying process in which the drying condi-tions or potential of the drying medium remains un-changed when the drying medium passes through the material to be dried.In contrast,in deep-bed drying the drying conditions change in the direction of the flow of drying medium.The objectives of this study were:(a)to develop equations for describing the thin-layer drying of BSG and DSG in SS,(b)to analyse the thin-layer drying characteristics of spent grains in SS,and(c)to quantify the change in nutrient composi-tion of the dried samples.2.Experiments for thin-layer drying of spent grains in superheated steam2.1.MaterialsThe materials used in the experiments were brewersÕbarley spent grain and distillersÕwheat spent grain, which were obtained from a local brewery(Fort Garry Company Ltd.,Winnipeg,MB)and a distillery(Mo-hawk Canada Ltd.,Minnedosa,MB).The materials were stored in a deep freezer atÀ15°C and thawed at room temperature before the drying experiments.The initial moisture contents of the two tested products were 4.22±0.15kg/kg dry basis(db)for BSG and2.17±0.15 kg/kg db for DSG.The moisture contents were deter-mined by the vacuum-oven drying method(AACC, 1995).Each sample prepared for the thin-layer drying experiments weighed approximately8.8g for BSG and 6.1g for DSG.2.2.EquipmentThe equipment used in the experiments was the SS drying system developed in the Department of Biosys-tems Engineering at the University of Manitoba.The system consisted of a steam generator,a pressure reg-ulator,a steam-flow valve,a steam conveying pipeline, a drying chamber,auxiliary heaters,a hot-air supply system,and a data acquisition and control system. Saturated steam at580kPa and158°C was produced by the steam generator.Its pressure was reduced to 130kPa when the steam passed through the pressure regulator,and thus SS was generated.The pressure of the steam passing through the drying chamber dropped down to100kPa due to the frictional loss in the pipeline.The steam-flow rate or velocity was controlled by the steam-flow valve.The steam was adjusted to the preselected temperature by the auxil-iary heaters in the pipeline before passing through the drying chamber.The drying system was fully described elsewhere(Tang&Cenkowski,2000;Tang, Cenkowski,&Muir,2000).To ensure that the steam passes through the sample to be dried,a metal plate with a central round opening(69mm in diameter) was placed in the middle section of the drying cham-ber(Fig.1).During drying,the circular mesh tray(68 mm in diameter,with a10mmflange)with the sam-ple was placed in the central opening and hung by a thin wire from an electronic balance located on the top of the drying chamber.Theflange of the tray was approximately4mm above the plate.Only a small fraction of steam was allowed to escape through the gap between the sample tray and the plate.This fraction was quantified experimentally,and the deter-mination of the steam velocity through the sample was adjusted for that.458Z.Tang et al./Journal of Food Engineering67(2005)457–4652.3.Drying conditionsDrying experiments were conducted under atmos-pheric pressure.The steam temperature at the inlet to the drying chamber was controlled at seven levels:110, 115,120,130,145,160,and180°C with the accuracy of±3°C.The velocity of steam passing through the sample to be dried was set atfive values:0.25,0.47, 0.66,0.86,and1.08m/s with the accuracy of±0.06m/ s for BSG drying,and0.28,0.49,0.70,0.92,and1.15 m/s with the accuracy of±0.06m/s for DSG drying. The steam velocity was adjusted by the steam-flow valve;it was calculated based on the amount of con-densed water collected from the condenser in a certain time,the fraction of steam escaped through the gap be-tween the sample tray and the plate,and the steam tem-perature inside the drying chamber.To determine the fraction of the escaped steam,the following experiments were conducted.Hot air(70°C)instead of steam was used as the drying medium for convenience.The tray with the same amount of sample as in normal drying experiments was changed alternatively several times dur-ing the test between two positions:A and B.Position A was the normal drying position in which the tray was hung in the drying chamber from the balance and the flange of the tray was about4mm above the plate.At position B,the tray was seated on the plate with its flange contacting the plate,and all the hot air was forced to pass through the sample.At each position,the air velocities were measured with a thermal anemometer (Model HHF50,OMEGA Engineering,Inc.,Stamford, CT)at two or three selected points approximately20 mm above the sample.Four runs of tests were con-ducted at different air-velocity levels covering the typical experimental range(0.25–1.15m/s)of steam velocity for normal drying experiments.The average velocity of the air passing through the sample at position A was lower by14.8%for BSG drying and13.9%for DSG drying compared with that at position B.This means that 14.8%and13.9%of the drying medium passing through the chamber escaped from the gap between the sample tray and the plate during the normal experiments for BSG and DSG drying,respectively.The shrinkage of the sample during drying had no substantial effect on the amount of the drying medium passing through the sample or the gap between the tray and the plate because of the small size of samples used(8.8g for BSG and 6.1g for DSG).2.4.Experimental procedure for drying testsDuring drying,the sample was placed in a thin layer on the mesh tray which was hung in the drying chamber by a thin wire attached to the electronic balance(Fig.1). The mass change was recorded every2or3s by a com-puter connected to the balance.The drying process was ended when the mass of the sample remained constant for2–5min depending on the total drying time.Under each set of drying conditions,tests were conducted in triplicates.Theflow of steam created a‘‘lifting force’’which af-fected the mass-change readings.The‘‘lifting force’’changed non-linearly with moisture loss during drying due to the shrinkage of the sample.To compensate for this apparent loss in mass,a calibration test was con-ducted immediately after each drying test.In the calibra-tion test,the steam conditions were kept the same as in the previous drying test;however,the drying medium was manually controlled to bypass the drying chamber for10–15s every0.5–2min.At a selected moisture point,the difference between the readings with and with-out steam passing through the chamber in the calibra-tion test was the‘‘lifting force’’on the sample at that moisture point.The‘‘lifting force’’was incorporated into the calculation of true mass loss of the sample in the corresponding drying test.Fig.1.Superheated steam thin-layer drying chamber(dimensions are in mm).Z.Tang et al./Journal of Food Engineering67(2005)457–4654592.5.Determination of nutrient compositionThe benefits of the utilization of BSG and DSG de-pend on the nutrient composition of these materials. To quantify the effects of drying conditions on the nutri-ent composition of spent grains,the samples dried at se-lected steam temperatures and for different drying times were analyzed for composition and compared with non-processed(undried)material.Each sample of approxi-mately10g was tested in this analysis.Four major nutrient components(starch,b-glucan,pentosan,and protein)in the samples were chosen for measurements. b-Glucan and pentosan were determined because both these non-starch polysaccharides are constituents of die-taryfiber.The presence of dietaryfiber makes spent grains attractive for human consumption(but not neces-sarily for animal feeds).The mixed-linkage b-glucan assay kit(Megazyme International Ireland,Ltd.)was used for the b-glucan measurement(McCleary&Codd, 1991).The phloroglucinol method of Douglas(1981) was used for measuring colorimetrically the content of pentosan.Starch content was determined enzymatically using the Megazyme kit for total starch assay (Megazyme International Ireland,Ltd.)(McCleary, Solah,&Gibson,1994).Protein content was determined by combustion nitrogen analysis(CNA)using a LECO Model FP-428CNA analyzer(Leco Corp.,St.Joseph, MI)calibrated against ethylenediaminetetraacetic acid.3.Empirical equation for spent grains dried in superheated steamIn most models developed for drying large size or compact products in SS,an overpressure built-up inside the products is considered as one of the important driv-ing forces during the falling-rate drying period(Hager, Hermansson,&Wimmerstedt,1997;Perre,Moser,& Martin,1993).The involvement of the overpressure makes the modelling more complex.However,there is no significant overpressure inside spent grains during steam drying because spent grains are in a chopped or ground state(Bonazzi et al.,1996).Therefore,the gener-al modelling technique considering the overpressure as the third driving force is not suitable for modelling the thin-layer drying of spent grains in SS.Based on observations in previous studies(Tang& Cenkowski,2000;Tang et al.,2000),when drying of such biological materials as sugar-beet pulp and sliced potatoes,the drying curves in the falling-rate period are of similar shapes for SS drying and hot-air drying, therefore,a similar form of empirical equation for air drying could be used for describing the SS drying kinetics.One of the most often used empirical equations for describing air drying of a thin layer of biological mate-rials is PageÕs equation(Page,1949;cited by Jayas et al.,1991):MR¼expðÀKt NÞð1Þwhere MR=moisture ratio;K,N=experimental param-eters;t=drying time(min).The moisture ratio is defined as:MR¼MÀM eM0ÀM eð2Þwhere M=moisture content(kg/kg db);M e=equilib-rium moisture content(kg/kg db);M0=initial moisture content(kg/kg db).In Eq.(1)the initial moisture ratio at time0becomes 1.At the beginning of SS drying,however,a small amount of moisture is gained on the sample surface from the steam condensation while the sample is brought up from the room temperature to100°C.The steam con-densation takes place in such a short time(several sec-onds)that it is not feasible to describe mathematically that short initial period of drying(Markowski et al., 2003).In consequence,the initial moisture ratio for SS drying becomes greater than1(e.g.,see insert in Fig.3).Therefore,a third experimental parameter A was introduced into Eq.(1)to accommodate the surface con-densation problem in SS thin-layer drying:MR¼A expðÀKt NÞð3ÞIn Eq.(3),the parameters A,K,and N are dependent on the steam temperature and/or steam velocity.The equi-librium moisture content M e in Eq.(2)is dependent on the steam temperature T,which has been determined in a previous study(Tang&Cenkowski,2001):M e¼0:6538exp½À1:1605ðTÀ100Þ0:3269ðfor BSGÞð4ÞM e¼0:1389exp½À0:3024ðTÀ100Þ0:5609ðfor DSGÞð5ÞUsing non-linear regression and considering moisture ratio MR and drying time t as the regression variables, the parameters A,K,and N in the empirical equation (Eq.(3))were determined for each set of drying condi-tions.The regression was accomplished by the NLIN procedure in SAS system(SAS,1985).From the regression results,it was noted that param-eter A decreased and parameter K increased approxi-mately linearly with the increase in steam temperature T and velocity V.But parameter N increased approxi-mately linearly only with the steam temperature increase. Therefore,these relationships were represented as:A¼ða1Tþa2Þða3Vþa4Þð6ÞK¼ðk1Tþk2Þðk3Vþk4Þð7Þ460Z.Tang et al./Journal of Food Engineering67(2005)457–465N ¼n 1T þn 2ð8Þwhere a 1,a 2,a 3,a 4,k 1,k 2,k 3,k 4,n 1,and n 2are coeffi-cients.The coefficients in Eqs.(6)–(8)were obtained by further regression in which parameters A (or K ,or N ),T ,and V were considered as the regression variables (Table 1).The small mean residual squares of MR shown in Table 1indicate that the regression equations have an acceptable accuracy for fitting the experimental data.Drying curves predicted by the equations under selected drying conditions and the corresponding measured data points were plotted in Figs.2and 3.The figures also show that the empirical equation with the obtained regression coefficients fits the experimental data well and is suitable in modelling deep-bed drying (Tang,Cenkowski,&Muir,2004).4.Drying dynamics of a thin layer of spent grains in superheated steamBased on the empirical equation developed above,the moisture ratios,moisture contents,and drying rates of thin layers of spent grains dried in SS can be predicted at drying conditions in the range defined in this study.Drying curves and drying-rate curves for selected drying conditions were plotted to present the drying dynamics of thin layers of spent grains in SS (Figs.4–7).The drying curves show the changes of moisture ratio with drying time,and the drying-rate curves represent the changes of drying rate with moisture content.The dry-ing rate is defined here as the change of moisture content in unit time,i.e.,the differentiation of moisture content d M /d t :d Md t¼ÀAKN ðM 0ÀM e Þt ðN À1Þexp ðÀKt N Þð9ÞBecause of steam condensation,the samples gained a small amount of moisture in the first several seconds of drying.The samples gained more moisture in low-temperature or low-velocity steam than in high-temper-ature or high-velocity steam.The moisture gain changed linearly with a change in steam temperature or velocity.At 0.7m/s,for example,the moisture gain caused an in-crease in the initial moisture ratios to 1.15,1.13,and 1.11for BSG samples (or 1.21, 1.13,and 1.05for DSG samples)for the steam temperatures of 110,145,Table 1Regression coefficients in Eqs.(6)–(8)ParameterBSG drying model DSG drying model Aa 1À0.00058À0.00135a 2 1.29250.8375a 3À0.0963À0.2778a 40.9991 1.9578Kk 10.002730.00388k 2À0.2609À0.3741k 3 2.0984 2.0399k 40.21740.2199Nn 10.002220.00557n 20.95990.5185Mean residual square of MR0.00160.0021Z.Tang et al./Journal of Food Engineering 67(2005)457–465461and180°C,respectively(Fig.4).At145°C,the mois-ture ratios at the beginning of drying reached 1.18, 1.13,and 1.08for BSG samples(or 1.20, 1.13,and 1.06for DSG samples)for the steam velocities of0.3, 0.7,and1.1m/s,respectively(Fig.5).A certain amount of sensible heat is needed to bring a sample from its room temperature to100°C.This heat is supplied by the steam.When the temperature of steam decreases, the sensible heat of the steam decreases as well,there-fore,increased steam condensation takes place to pro-vide the required heat for warming up the sample to the saturation point for steam(100°C at the atmos-pheric pressure).The effect of steam velocity on the steam condensation could be explained based on the heat-transfer analysis.Less heat is transferred from lower-velocity steam to the sample by convection be-cause of the lower heat-transfer coefficient between the steam and the sample,therefore,a higher deposition of condensate is observed before this process is reversed into drying.There was no constant-rate drying period noticeable for the thin-layer drying of spent grains in SS.The dry-ing rate decreased gradually during SS drying except for a short initial warm-up period,during which the drying462Z.Tang et al./Journal of Food Engineering67(2005)457–465rate increased rapidly(Figs.6and7).This agrees with drying in SS of such biological products as potatoes, sugar-beet pulp,and Asian noodles(Markowski et al., 2003;Tang&Cenkowski,2000;Tang et al.,2000).In thin-layer drying of spent grains in SS,the drying rate increased nearly linearly with an increase in steam temperature(Fig.6).This is similar to thin-layer drying of biological materials in hot air.However,unlike hot-air drying in which the velocity of drying medium has no effect on the drying dynamics in the falling-rate per-iod(Jayas et al.,1991;Salgado,Lebert,Garcia,&Bim-benet,1994),the steam velocity evidently affected the SS drying dynamics.Moisture content decreased faster at high velocity than at low velocity of steam(Fig.5).At 145°C,the drying times for reaching the equilibrium were21,13,and9min for BSG drying(or16,10,and 7min for DSG drying)at the velocities of0.3,0.7, and 1.1m/s,respectively.Increasing the velocity of steam from0.3to1.1m/s decreased the drying time by 57%for BSG drying(or56%for DSG drying).During the SS drying process except for the initial period,the drying rate increased nearly linearly with the increase of steam velocity(Fig.7).For example,at145°C and when the samples were dried to the moisture content of1kg/kg db,an increase of steam velocity from0.3 to0.7and1.1m/s caused an increase of the drying rate from0.26to0.44and0.601/min for BSG drying(or from0.32to0.53and0.711/min for DSG drying),respectively.Superheated steam drying has a different drying mechanism in the falling-rate drying period com-pared with hot-air drying.In hot-air drying,the drying rate is governed by the diffusion of moisture or water va-por or a mixture of both(Strumillo&Kudra,1986).The major limiting factor in air drying is the internal resis-tance to mass transfer,which has no relation to the ve-locity of the drying air.During SS drying,an overpressure built-up inside the material to be dried (even though very small)makes the internal resistance to mass transfer negligible(Hager,1998;Khan&Beas-ley,1988).The rate of evaporation or drying in SS is mainly controlled by the rate of heat transfer between the drying medium(superheated steam)and the material to be dried.The heat-transfer coefficient is closely corre-lated to the velocity of the SS.Therefore,the velocity of steam plays an important role in SS drying.5.Effects of drying temperature and time on nutrient compositionThe nutrient composition of undried spent grains (control)and the samples dried in SS under various con-ditions is presented in Table2.The undried BSG con-tained more starch but less b-glucans compared with the undried DSG.Both materials contained considera-ble amounts of pentosans and proteins.In general,theTable2Nutrient composition of undried and dried a spent grain samplesDrying temperature(°C)Dryingtime(min)bStarch(%,db)b-Glucans(%,db)c Pentosans(%,db)c Proteins(%,db)Ave.d Std.dev.Ave.d Std.dev.Ave.d Std.dev.Ave.e Std.dev.BSG11036 6.830.490.760.0319.45 1.0424.510.06 14511.5 5.840.030.760.0119.48 1.9322.900.26 1807.5 5.840.210.750.0222.64 1.8424.430.06 Undried7.490.020.780.0324.97 4.7824.510.29145(3)7.220.120.760.0320.64 4.2524.66–145(6) 6.270.290.770.0122.09 4.0823.30–14511.5 5.840.030.760.0119.48 1.9322.900.26DSG11049 2.080.01 1.620.0319.73 1.6527.21–14517 1.930.01 1.490.0120.860.6727.300.11 18010 1.840.00 1.440.0121.20 4.7928.15–Undried 2.500.03 1.500.0121.59 2.3726.50–145(4.5) 2.380.10 1.700.0717.930.5627.350.11145(9) 2.190.04 1.630.0320.68 1.6827.38–14517 1.930.01 1.490.0120.860.6727.30–a Dried in superheated steam at the steam velocity of0.66m/s and different temperatures for different times.b Times for drying to equilibrium except those in parentheses.c Samples washed with ethanol prior to treatment.d Average of two results.e Average of two results with std.dev.only.Z.Tang et al./Journal of Food Engineering67(2005)457–465463effect of drying on the amounts of nutrients in the sam-ples was rather small.Among the four components measured,starch was affected to the greatest extent. Both drying temperature and time had some effect on the starch content in the dried samples.All dried BSG and DSG had lower starch content than the undried (control)samples.Increasing the drying temperature from110to180°C decreased the starch in the samples dried to the equilibrium at the steam velocity of0.66m/s from6.83%to5.84±0.24%(decrease by14.5%)for BSG and from2.08%to1.84±0.01%(decrease by11.5%)for DSG.An increase in drying time from0to the time when the equilibrium was reached at the steam velocity of0.66m/s caused the starch to decrease from7.49%to 5.84±0.12%(decrease by22%)in BSG samples and from2.50%to1.93±0.05%(decrease by23%)in DSG samples.The high drying temperatures and the initially high moisture content of the spent grains are probably responsible for the partial gelatinization of starch and the formation of amylose–lipid complexes or resistant starch or both.The last two phenomena most likely ac-count for the decrease in the amount of starch measured in the samples.In general,b-glucans were affected very little by the drying processes.Only the drying tempera-ture had a small influence on the b-glucan content in the dried DSG samples;it decreased from 1.62%to 1.44±0.02%(decrease by11%)when the temperature used for drying the samples to the equilibrium changed from110to180°C.The relatively low precision (±2.30%)of the method used for determining pentosans hindered somewhat the interpretation of the results. Nevertheless,it appears that the contents of pentosans in DSG and BSG were not affected to any great extent by the drying processes.The proteins in both spent grains were likely denatured during the drying processes, but this did not affect their measured average content (including both active and denatured proteins)in dried BSG or DSG.6.ConclusionsA modified PageÕs equation was developed for describing the thin-layer drying of spent grains in super-heated steam(SS).The equationfitted the experimental data well.At the beginning of the drying,a small amount of moisture was gained on the sample surface from steam condensation.The moisture gain increased the initial moisture ratios of the samples to the range between 1.00and 1.20for BSG drying or between 1.00and 1.30for DSG drying.It decreased linearly with an in-crease in steam temperature and/or velocity.Unlike hot-air drying,not only the temperature but also the velocity of drying medium had a significant ef-fect on the thin-layer drying of spent grains in SS.Increasing the steam velocity increased the drying rate nearly linearly and consequently decreased the drying time.At145°C,an increase of steam velocity from0.3 to1.1m/s caused the drying time for reaching the equi-librium to decrease by57%for BSG drying and56%for DSG drying.Drying in SS had rather a small effect on the change of the nutrients in BSG and DSG samples.Steam veloc-ity had no noticeable effect on nutrients in dried samples.Increasing drying temperature from110to 180°C gelatinized more starch and decreased starch content in BSG by14.5%and in DSG by11.5%.No change was observed in b-glucan,pentosan,and protein contents in the dried samples.AcknowledgmentThe study wasfinancially supported by the Natural Sciences and Engineering Council of Canada. ReferencesAACC(1995).Moisture-modified vacuum-oven method.In Approved methods American Association of Cereal Chemists.St.Paul,MN: AACC.Bonazzi, C.,Dumoulin, E.,Raoult-Wack, A.L.,Berk,Z., Bimbenet,J.J.,Courtois, F.,Trystram,G.,&Vasseur,J.(1996).Food drying and dewatering.Drying Technology,14(9), 2135–2170.Dibella, F. A.(1996).Advanced steam atmosphere drying system.Report TR7020-003-96.TECOGEN Division,Thermo Power Corporation,Waltham,MA,USA.Douglas,S.G.(1981).A rapid method for the determination of pentosans in wheatflour.Food Chemistry,7,139–145. Douglas,W.J.M.(1994).Drying paper in superheated steam.Drying Technology,12(6),1341–1355.Erdesz,K.,&Kudra,T.(1990).Superheated steam drying––book review.Drying Technology,8(4),891–893.Hager,J.(1998).Steam drying of porous media.Ph.D.thesis, Department of Chemical Engineering,Lund University,Sweden. Hager,J.,Hermansson,M.,&Wimmerstedt,R.(1997).Modelling steam drying of a single porous ceramic sphere:Experiments and simulations.Chemical Engineering Science,52(8),1253–1264. Jayas,D.S.,Cenkowski,S.,Pabis,S.,&Muir,W.E.(1991).Review of thin-layer drying and wetting equations.Drying Technology,9(4), 551–588.Jensen,A.S.(1992).Pressurized drying in afluid bed with steam.In A.S.Mujumdar(Ed.),DryingÕ92(pp.1593–1601).Elsevier Science Publishers.Johnson,A.H.,&Peterson,M.S.(1974).Encyclopaedia of food technology.Westport,CN:AVI Publishing.Khan,J.A.,&Beasley,D.E.(1988).Model for thermally controlled drying of a porous sphere using superheated vapour.In Collected Papers in heat transfer:Winter annuual meeting of the American Society of Mechanical Engineers,Chicago,IL,USA(pp.123–131). Kissell,L.T.,&Prentice,N.(1979).Protein andfibre enrichment of cookieflour with brewerÕs spent grain.Cereal Chemistry,56(4), 261–266.Kumar,P.,&Mujumdar,A.S.(1990).Superheated steam drying––a bibliography.Drying Technology,8(1),195–205.464Z.Tang et al./Journal of Food Engineering67(2005)457–465。