Abstract
In the process design of falling film evaporator, there are uncertainties in the design parameters and heat transfer model, which increases the difficulty of falling film evaporator design. Therefore, based on the Monte Carlo uncertainty method, the influence of the uncertainty of the parameters and the model in the three-effect falling film evaporator of dairy products on the design results is studied. The results showed that, compared with parameter uncertainty, the change of evaporator heat transfer performance caused by model uncertainty was more significant. By comprehensively considering the influence of parameter uncertainty and model uncertainty, a model ensembling method was proposed to reduce model uncertainty and improve model prediction reliability. The heat transfer area of the evaporator was selected based on different design probabilities, which provided a theoretical basis for the design and operation of the evaporator under different design conditions and different operating conditions.
Publication Date
1-28-2021
First Page
108
Last Page
113
DOI
10.13652/j.issn.1003-5788.2021.01.017
Recommended Citation
Xia, ZHANG; Wei, TIAN; Chuan-qi, ZHU; An-chao, ZHANG; and Hai-bin, WU
(2021)
"A new design method of dairy falling-film evaporators based on uncertainty theory,"
Food and Machinery: Vol. 37:
Iss.
1, Article 17.
DOI: 10.13652/j.issn.1003-5788.2021.01.017
Available at:
https://www.ifoodmm.cn/journal/vol37/iss1/17
References
[1] 朱永峰, 李庆生, 柳杰, 等. LD苹果酸降膜蒸发器内流体的传热性能模拟[J]. 食品与机械, 2013, 29(3): 173-176.
[2] 李伟,朱曼利,洪厚胜. 机械蒸汽再压缩系统的设计及其在食品工业中的应用[J]. 食品与机械, 2016, 32(7): 223-226.
[3] 孟献昊, 田玮, 张峻霞. 乳品降膜蒸发器的生命周期评价分析[J]. 食品工业, 2018, 39(10): 199-204.
[4] GOURDON Mathias, INNINGS Fredrik, JONGSMA Alfred, et al. Qualitative investigation of the flow behaviour during falling film evaporation of a dairy product[J]. Experimental Thermal & Fluid Science, 2015, 60: 9-19.
[5] GOURDON Mathias, MURA Ernesto. Performance evaluation of falling film evaporators in the dairy industry[J]. Food and Bioproducts Processing, 2016, 101: 22-31.
[6] DAZ-OVALLE Christian O, GONZLEZ-ALATORRE Guillermo, ALVARADO Juan F J. Analysis of the dynamic response of falling-film evaporators considering fouling[J]. Food & Bioproducts Processing 2017, 104: 124-136.
[7] ZHANG Ye-chun, MUNIR Muhammad Tajammal, UDUGAMA Isuru, et al. Modelling of a milk powder falling film evaporator for predicting process trends and comparison of energy consumption[J]. Journal of Food Engineering, 2018, 225: 26-33.
[8] MADOUMIER Martial, AZZARO-PANTREL Catherine, TANGUY Gaelle, et al. Modelling the properties of liquid foods for use of process flowsheeting simulators: Application to milk concentration[J]. Journal of Food Engineering, 2015, 164: 70-89.
[9] AKESJO Anders, GOURDON Mathias, VAMLING Lennart, et al. Modified surfaces to enhance vertical falling film heat transfer: An experimental and numerical study[J]. International Journal of Heat and Mass Transfer, 2019, 131: 237-251.
[10] JEBSON R Selwyn, CHEN Hong. Performances of falling film evaporators on whole milk and a comparison with performance on skim milk[J]. Journal of Dairy Research, 1997, 64(1): 57-67.
[11] MINIM Luis A, COIMBRA Jane S R, MINIM Valéria P R, et al. Influence of temperature and water and fat contents on the thermophysical properties of milk[J]. Journal of Chemical & Engineering Data, 2002, 47(6): 1 488-1 491.
[12] REDDY Ch S, DATTA A K. Thermophysical properties of concentrated reconstituted milk during processing[J]. Journal of Food Engineering, 1994, 21(1): 31-40.
[13] 孙颜君, 李红娟, 吕加平. 薄膜蒸发浓缩对乳蛋白浓缩物加工性质的影响[J]. 食品研究与开发, 2016, 37(7): 13-18.
[14] MUNIR M T, ZHANG Ye-chun, YU Wei, et al. Virtual milk for modelling and simulation of dairy processes[J]. Journal of Dairy Science, 2016, 99(5): 3 380-3 395.
[15] 张和平, 张列兵. 现代乳品工业手册[M]. 2版. 北京: 中国轻工业出版社, 2012: 448-466.
[16] JUN S, PURI V M. Fouling models for heat exchangers in dairy processing: A review[J]. Journal of Food Process Engineering, 2005, 28(1): 1-34.
[17] CHUN K R, SEBAN R A. Heat transfer to evaporating liquid films[J]. Journal of Heat Transfer, 1971, 93(4): 391-396.
[18] PROST J S, GONZLEZ M T, URBICAIN M J. Determination and correlation of heat transfer coefficients in a falling film evaporator[J]. Journal of Food Engineering, 2006, 73(4): 320-326.
[19] ALHUSSEINI Abdulmalik A, TUZLA Kemal, CHEN John C. Falling film evaporation of single component liquids[J]. International Journal of Heat and Mass Transfer, 1998, 41(12): 1 623-1 632.
[20] BROOME Steven R. Liquid distribution and falling film wetting in dairy evaporators[D]. Christchurch: University of Canterbury, 2005: 101-102.
[21] AUSMUS Doug. HTRI design manual[M]. Navasota: Heat Transfer Research, Inc., 1997: B4.5-2.
[22] 林纪方, 王同文. 计算冷凝平均膜传热系数的一个普遍关联式[J]. 化工学报, 1983, 34(4): 353-362.
[23] ADIB Tarif Ali, VASSEUR Jean. Bibliographic analysis of predicting heat transfer coefficients in boiling for applications in designing liquid food evaporators[J]. Journal of Food Engineering, 2008, 87(2): 149-161.
[24] LAMBERT Julien, GOSSELIN Louis. Sensitivity analysis of heat exchanger design to uncertainties of correlations[J]. Applied Thermal Engineering, 2018, 136: 531-540.
[25] PALLUOTTO Lorella, DUMONT Nicolas, RODRIGUES Pedro, et al. Assessment of randomized quasi-monte carlo method efficiency in radiative heat transfer simulations[J]. Journal of Quantitative Spectroscopy and Radiative Transfer, 2019, 236: 106570.
[26] HASSAN Azarkisha, MOHSEN Rashki. Reliability and reliability-based sensitivity analysis of shell and tube heat exchangers using Monte Carlo Simulation[J]. Applied Thermal Engineering, 2019, 159: 113842.
[27] 侯思尧, 李永光, 陈思静. 利用主客观集成赋权法的多目标威胁评估[J]. 电讯技术, 2019, 59(8): 956-961.
[28] ZHU Xiao-chen, NIU Da-peng, WANG Xu, et al. Comprehensive energy saving evaluation of circulating cooling water system based on combination weighting method[J]. Applied Thermal Engineering, 2019, 157: 113735.
[29] BIJU V G, PRASHANTH C M. Friedman and wilcoxon evaluations comparing svm, bagging, boosting, k-nn and decision tree classifiers[J]. Journal of Applied Computer ence Methods, 2017, 9(1): 23-47.
[30] GOMZLEZ Sergio, GARCA Salvador, SER Javier Del, et al. A practical tutorial on bagging and boosting based ensembles for machine learning: Algorithms, software tools, performance study, practical perspectives and opportunities[J]. Information Fusion, 2020, 64: 205-237.