Abstract
The weight loss and spoilage of post-harvest fruits and vegetables (FVS) occur as a result of physiological and biological processes, the rates of which are influenced primarily by product temperature. In order to maintain the freshness of FVS and reduce losses, it is necessary to cool the product as soon as possible after harvest. Precooling is considered such an effective technique because it quickly removes field heat from FVS, thereby preventing deterioration and senescence. With the increasing demand for fresh FVS, the optimization of precooling technology has received extensive attention, especially the research on its basic principle, that is, the heat and mass transfer (HMT) between FVS and the precooling environment. Therefore, this paper reviews the advantages and disadvantages of several main precooling techniques, their HMT processes, the research methods and detection techniques of HMT, and the simulation and application based on numerical technology. Precooling techniques include room cooling, forced-air cooling, hydrocooling, and vacuum cooling. These advanced detection techniques for HMT include magnetic resonance imaging, particle image velocimetry, infrared thermography, nuclear magnetic resonance, bioelectric impedance analysis, dilatometry, thermogravimetric analysis, and X-ray CT. HMT research mainly adopts porous media method, direct numerical simulation, cell growth simulation. Their applications focus on computational fluid dynamics and the lattice Boltzmann method. Furthermore, this paper highlights the application of the computer field in FVS precooling and provides perspectives on the directions for future research.
Similar content being viewed by others
Abbreviations
- T :
-
Temperature (K)
- t :
-
Time (s)
- ξ :
-
Migration resistance of water vapor
- x, y, z :
-
Coordinates (m)
- ρ :
-
Density (kg m−3)
- C :
-
Specific heat (J kg−1 K−1)
- λ :
-
Thermal conductivity (W m−1 K−1)
- r, φ, z :
-
Cylindrical coordinates
- r, θ, φ :
-
Spherical coordinates
- h :
-
Convective heat transfer coefficient (W m−2 K−1)
- f v :
-
Vapor generation rate of product (kg m−3 s−1)
- M :
-
Molecular weight (kg kmol−1)
- D :
-
Diffusion coefficient (m2 s−1)
- τ :
-
Tortuosity factor
- ϵ :
-
Porosity
- D eff :
-
Effective moisture diffusivity (m2s−1)
- X :
-
Moisture content (kg kg−1)
- R :
-
Universal gas constant (= 8.314 kJ kmol−1 K−1)
- λ eff :
-
Effective thermal conductivity (W m−1 K−1)
- T f :
-
Fluid temperature (K)
- T s :
-
Solid temperature (K)
- ρ w , c :
-
Wet base cell density (kg m−3)
- D c :
-
Water diffusion coefficient inside cells (m2s−1)
- ρ c :
-
Cell density (kg m−3)
- C w, c :
-
Water content on wet base (kg kg−1)
- u :
-
Velocity (m s−1)
- P :
-
Pressure (Pa)
- μ :
-
Dynamic viscosity (N s m−2)
- μ t :
-
Turbulent viscosity (kg m−1 s−1)
- C μ :
-
Empirical turbulence model constant
- k :
-
Turbulent kinetic energy (m2s−2)
- ε :
-
Turbulent dissipation rate (m2s−3)
- ω :
-
Specific dissipation (s−1)
- S u :
-
Momentum source term (m s−2)
- ρ a :
-
Air density (kg m−3)
- k a :
-
Thermal conductivity of air (W m−1 K−1)
- k t :
-
Turbulent thermal conductivity (W m−1 K−1)
- Q :
-
Heat generation
- T a :
-
Air temperature (K)
- ρ f :
-
Fluid density (kg m−3)
- ρ s :
-
Solid density (kg m−3)
- λ s :
-
Solid thermal conductivity (W m−1 K−1)
- A :
-
Specific solid–fluid interface surface area (m2)
- ξ :
-
Migration resistance of water vapor
References
Duan Y, Wang G-B, Fawole OA, Verboven P, Zhang X-R, Wu D, Opara UL, Nicolai B, Chen K (2020) Postharvest precooling of fruit and vegetables: a review. Trends Food Sci Technol 100:278–291. https://doi.org/10.1016/j.tifs.2020.04.027
Han J-W, Zuo M, Zhu W-Y, Zuo J-H, Lü E-L, Yang X-T (2021) A comprehensive review of cold chain logistics for fresh agricultural products: current status, challenges, and future trends. Trends Food Sci Technol 109:536–551. https://doi.org/10.1016/j.tifs.2021.01.066
Brosnan T, Sun D-W (2001) Precooling techniques and applications for horticultural products — a review. Int J Refrig 24(2):154–170. https://doi.org/10.1016/S0140-7007(00)00017-7
Zhao C-J, Han J-W, Yang X-T, Qian J-P, Fan B-L (2016) A review of computational fluid dynamics for forced-air cooling process. Appl Energy 168:314–331. https://doi.org/10.1016/j.apenergy.2016.01.101
Ambaw A, Mukama M, Opara UL (2017) Analysis of the effects of package design on the rate and uniformity of cooling of stacked pomegranates: numerical and experimental studies. Comput Electron Agric 136:13–24. https://doi.org/10.1016/j.compag.2017.02.015
Fanta SW, Abera MK, Ho QT, Verboven P, Carmeliet J, Nicolai BM (2013) Microscale modeling of water transport in fruit tissue. J Food Eng 118(2):229–237. https://doi.org/10.1016/j.jfoodeng.2013.04.003
Pathare PB, Opara UL, Vigneault C, Delele MA, Al-Said FA-J (2012) Design of packaging vents for cooling fresh horticultural produce. Food Bioprocess Technol 5(6):2031–2045. https://doi.org/10.1007/s11947-012-0883-9
Fabbri A, Cevoli C (2016) Rheological parameters estimation of non-Newtonian food fluids by finite elements model inversion. J Food Eng 169:172–178. https://doi.org/10.1016/j.jfoodeng.2015.08.035
Nalbandi H, Seiiedlou S (2020) Exploration of heat and momentum transfer in turbulent mode during the precooling process of fruit. Food Sci Nutr 8(8):4098–4111. https://doi.org/10.1002/fsn3.1682
Datta AK (2008) Status of physics-based models in the design of food products, processes, and equipment. Comprehensive Reviews in Food Science and Food Safety 7(1):121–129. https://doi.org/10.1111/j.1541-4337.2007.00030.x
Marra F (2016) Virtualization of processes in food engineering. J Food Eng 176:1–1. https://doi.org/10.1016/j.jfoodeng.2016.01.021
Datta AK (2007) Porous media approaches to studying simultaneous heat and mass transfer in food processes. I: problem formulations. J Food Eng 80(1):80–95. https://doi.org/10.1016/j.jfoodeng.2006.05.013
Abera MK, Fanta SW, Verboven P, Ho QT, Carmeliet J, Nicolai BM (2013) Virtual fruit tissue generation based on cell growth modelling. Food Bioprocess Technol 6(4):859–869. https://doi.org/10.1007/s11947-011-0775-4
Ajani CK, Zhu ZW, Sun DW (2021) Recent advances in multiscale CFD modelling of cooling processes and systems for the agrifood industry. Crit Rev Food Sci Nutr 61(15):2455–2470. https://doi.org/10.1080/10408398.2020.1809992
Zhu Z, Li Y, Sun D-W, Wang H-W (2019) Developments of mathematical models for simulating vacuum cooling processes for food products - a review. Crit Rev Food Sci Nutr 59(5):715–727. https://doi.org/10.1080/10408398.2018.1490696
Han JW, Badia-Melis R, Yang XT, Ruiz-garcia L, Qian JP, Zhao CJ (2017) CFD simulation of airflow and heat transfer during forced-air precooling of apples. J Food Process Eng 40(2):Article e12390. https://doi.org/10.1111/jfpe.12390
Lrde C, Vigneault C, Lab C (2005) Effect of container openings and airflow rate on energy required for forced-air cooling of horticultural produce. Can Biosyst Eng 47. https://doi.org/10.13031/2013.19608
Wang X-F, Fan Z-Y, Li B-G, Liu E-H (2021) Variable air supply velocity of forced-air precooling of iceberg lettuces: optimal cooling strategies. Appl Ther Eng 187:116484. https://doi.org/10.1016/j.applthermaleng.2020.116484
Chourasia MK, Goswami TK (2007) CFD simulation of effects of operating parameters and product on heat transfer and moisture loss in the stack of bagged potatoes. J Food Eng 80(3):947–960. https://doi.org/10.1016/j.jfoodeng.2006.07.015
Cortbaoui P, Goyette B, Gariépy Yv, Charles MT, Raghavan VGS, Vigneault C (2006) Forced air cooling system for Zea mays. J Food Agric Environ 4:100. https://doi.org/10.1234/4.2006.702.
Delele MA, Ngcobo MEK, Getahun ST, Chen L, Mellmann J, Opara UL (2013) Studying airflow and heat transfer characteristics of a horticultural produce packaging system using a 3-D CFD model. Part I: Model development and validation. Postharvest Biol Technol 86:536–545. https://doi.org/10.1016/j.postharvbio.2013.08.014
Han J-W, Zhao C-J, Qian J-P, Ruiz-Garcia L, Zhang X (2018) Numerical modeling of forced-air cooling of palletized apple: integral evaluation of cooling efficiency. International Journal Of Refrigeration-Revue Internationale Du Froid 89:131–141. https://doi.org/10.1016/j.ijrefrig.2018.02.012
Zainal B, Ding P, Ismail IS, Saari N (2019) Physico-chemical and microstructural characteristics during postharvest storage of hydrocooled rockmelon (Cucumis melo L. reticulatus cv. Glamour). Postharvest Biol Technol 152:89–99. https://doi.org/10.1016/j.postharvbio.2019.03.001
Edinaldo dOAS, da Silva PSO, de Araujo, HGS, de Aragão Batista MC, Matos PN, Sargent SA, de Oliveira Junior LFG, Carnelossi MAG (2019) Postharvest quality of cashew apple after hydrocooling and coold room. Postharvest Biol Technol 155:65–71. https://doi.org/10.1016/j.postharvbio.2019.05.002
Kongwong P, Boonyakiat D, Poonlarp P (2019) Extending the shelf life and qualities of baby cos lettuce using commercial precooling systems. Postharvest Biol Technol 150:60–70. https://doi.org/10.1016/j.postharvbio.2018.12.012
Zhu Z, Geng Y, Sun D-W (2019) Effects of operation processes and conditions on enhancing performances of vacuum cooling of foods: a review. Trends Food Sci Technol 85:67–77. https://doi.org/10.1016/j.tifs.2018.12.011
Wang N, Kan A, Mao S, Huang Z, Li F (2021) Study on heat and mass transfer of sugarcane stem during vacuum pre-cooling. J Food Eng 292:110288. https://doi.org/10.1016/j.jfoodeng.2020.110288
Farid M (2019) Chapter 17 - Heat and mass transfer in food processing. In M. Kutz (Ed.), Handbook of Farm, Dairy and Food Machinery Engineering (Third Edition) (pp. 439–460). Academic Press. https://doi.org/10.1016/B978-0-12-814803-7.00017-8
Le Bideau P, Noel H, Yassine H, Glouannec P (2018) Experimental and numerical studies for the air cooling of fresh cauliflowers. Appl Therm Eng 137:238–247. https://doi.org/10.1016/j.applthermaleng.2018.03.077
Wang L, Sun D-W (2005) Heat and mass transfer in thermal food processing. Food Sci Technol 35–71. https://doi.org/10.1201/9781420027372.ch2
Huang Z, Kan A, Lu J, Li F, Wang T (2021) Numerical simulation and experimental study of heat and mass transfer in cylinder-like vegetables during vacuum cooling. Innov Food Sci Emerg Technol 68:102607. https://doi.org/10.1016/j.ifset.2021.102607
Becker B, Misra A, Fricke B (1996) Bulk refrigeration of fruits and vegetables part I: theoretical considerations of heat and mass transfer. HVAC&R Research 2(2):122–134. https://doi.org/10.1080/10789669.1996.10391338
Datta AK (2007) Porous media approaches to studying simultaneous heat and mass transfer in food processes. II: property data and representative results. J Food Eng 80(1):96–110. https://doi.org/10.1016/j.jfoodeng.2006.05.012
Feyissa AH, Christensen MG, Pedersen SJ, Hickman M, Adler-Nissen J (2015) Studying fluid-to-particle heat transfer coefficients in vessel cooking processes using potatoes as measuring devices. J Food Eng 163:71–78. https://doi.org/10.1016/j.jfoodeng.2015.04.022
van der Sman RGM, Meinders MBJ (2013) Moisture diffusivity in food materials. Food Chem 138(2–3):1265–1274. https://doi.org/10.1016/j.foodchem.2012.10.062
Khan MIH, Karim MA (2017) Cellular water distribution, transport, and its investigation methods for plant-based food material. Food Res Int 99:1–14. https://doi.org/10.1016/j.foodres.2017.06.037
Dadmohammadi Y, Kantzas A, Yu X, Datta AK (2020) Estimating permeability and porosity of plant tissues: evolution from raw to the processed states of potato. J Food Eng 277:Article 109912. https://doi.org/10.1016/j.jfoodeng.2020.109912
Dehghannya J, Ngadi M, Vigneault C (2010) Mathematical modeling procedures for airflow, heat and mass transfer during forced convection cooling of produce: a review. Food Engineering Reviews 2(4):227–243. https://doi.org/10.1007/s12393-010-9027-z
Chen YM, Song HY, Chen ZS, Zhao R, Su Q, Jin PY, Sun YS, Wang H (2020) Sensitivity analysis of heat and mass transfer characteristics during forced-air cooling process of peaches on different air-inflow velocities. Food Sci Nutr 8(12):6592–6602. https://doi.org/10.1002/fsn3.1951
Defraeye T, Derome D, Verboven P, Carmeliet J, Nicolai B (2014) Cross-scale modelling of transpiration from stomata via the leaf boundary layer. Ann Bot 114(4):711–723. https://doi.org/10.1093/aob/mct313
Warning A, Datta AK, Bartz JA (2016) Mechanistic understanding of temperature-driven water and bacterial infiltration during hydrocooling of fresh produce. Postharvest Biol Technol 118:159–174. https://doi.org/10.1016/j.postharvbio.2016.03.018
Sun DW, Hu ZH (2003) CFD simulation of coupled heat and mass transfer through porous foods during vacuum cooling process. Int J Refrig-Revue Internationale Du Froid 26(1):19–27 Article Pii s0140–7007(02)00038–5. https://doi.org/10.1016/s0140-7007(02)00038-5
Norton T, Sun D-W (2006) Computational fluid dynamics (CFD) – an effective and efficient design and analysis tool for the food industry: a review. Trends Food Sci Technol 17(11):600–620. https://doi.org/10.1016/j.tifs.2006.05.004
Gong Y-F, Cao Y, Zhang X-R (2021) Forced-air precooling of apples: airflow distribution and precooling effectiveness in relation to the gap width between tray edge and box wall. Postharvest Biol Technol 177:111523. https://doi.org/10.1016/j.postharvbio.2021.111523
Erdogdu F, Sarghini F, Marra F (2017) Mathematical modeling for virtualization in food processing. Food Engineering Reviews 9(4):295–313. https://doi.org/10.1007/s12393-017-9161-y
Purlis E, Cevoli C, Fabbri A (2021) Modelling volume change and deformation in food products/processes: an overview. Foods 10(4). https://doi.org/10.3390/foods10040778
Putranto A, Chen XD, Xiao Z, Webley PA (2011) Simple, accurate and robust modeling of various systems of drying of foods and biomaterials: a demonstration of the feasibility of the Reaction Engineering Approach (REA). Drying Technol 29(13):1519–1528. https://doi.org/10.1080/07373937.2011.580407
Erbay Z, Icier F (2010) A review of thin layer drying of foods: theory, modeling, and experimental results. Crit Rev Food Sci Nutr 50(5):441–464. https://doi.org/10.1080/10408390802437063
Castro AM, Mayorga EY, Moreno FL (2018) Mathematical modelling of convective drying of fruits: a review. J Food Eng 223:152–167. https://doi.org/10.1016/j.jfoodeng.2017.12.012
Transtrum MK, Qiu P (2016) Bridging mechanistic and phenomenological models of complex biological systems. PLoS Comput Biol 12(5):e1004915. https://doi.org/10.1371/journal.pcbi.1004915
Wang W, Chen G, Mujumdar AS (2007) Physical interpretation of solids drying: an overview on mathematical modeling research. Drying Technol 25(4–6):659–668. https://doi.org/10.1080/07373930701285936
Defraeye T, Radu A (2017) Convective drying of fruit: a deeper look at the air-material interface by conjugate modeling. Int J Heat Mass Transf 108:1610–1622. https://doi.org/10.1016/j.ijheatmasstransfer.2017.01.002
Esfahani JA, Vahidhosseini SM, Barati E (2015) Three-dimensional analytical solution for transport problem during convection drying using Green’s function method (GFM). Appl Therm Eng 85:264–277. https://doi.org/10.1016/j.applthermaleng.2015.04.016
Datta AK (2016) Toward computer-aided food engineering: mechanistic frameworks for evolution of product, quality and safety during processing. J Food Eng 176:9–27. https://doi.org/10.1016/j.jfoodeng.2015.10.010
Wang LJ, Sun DW (2003) Recent developments in numerical modelling of heating and cooling processes in the food industry - a review. Trends Food Sci Technol 14(10):408–423. https://doi.org/10.1016/s0924-2244(03)00151-1
Ho QT, Carmeliet J, Datta AK, Defraeye T, Delele MA, Herremans E, Opara L, Ramon H, Tijskens E, van der Sman R, Van Liedekerke P, Verboven P, Nicolai BM (2013) Multiscale modeling in food engineering. J Food Eng 114(3):279–291. https://doi.org/10.1016/j.jfoodeng.2012.08.019
Getahun S, Ambaw A, Delele M, Meyer CJ, Opara UL (2017) Analysis of airflow and heat transfer inside fruit packed refrigerated shipping container: Part I – Model development and validation. J Food Eng 203:58–68. https://doi.org/10.1016/j.jfoodeng.2017.02.010
Hoang H-M, Duret S, Flick D, Laguerre O (2015) Preliminary study of airflow and heat transfer in a cold room filled with apple pallets: comparison between two modelling approaches and experimental results. Appl Therm Eng 76:367–381. https://doi.org/10.1016/j.applthermaleng.2014.11.012
Curcio S, Aversa M, Chakraborty S, Calabro V, Iorio G (2016) Formulation of a 3D conjugated multiphase transport model to predict drying process behavior of irregular-shaped vegetables. J Food Eng 176:36–55. https://doi.org/10.1016/j.jfoodeng.2015.11.020
Ferrua M, Singh R (2007) Modelling airflow through vented packages containing horticultural products. Comput Fluid Dynamics Food Process 661–667.
Nijemeisland M, Dixon AG (2004) CFD study of fluid flow and wall heat transfer in a fixed bed of spheres. Aiche J 50(5):906–921. https://doi.org/10.1002/aic.10089
Ferrua MJ, Singh RP (2008) A nonintrusive flow measurement technique to validate the simulated laminar fluid flow in a packed container with vented walls. Int J Refrig-Revue Internationale Du Froid 31(2):242–255. https://doi.org/10.1016/j.ijrefrig.2007.05.013
Ho QT, Verboven P, Verlinden BE, Herremans E, Wevers M, Carmeliet J, Nicolaï BM (2011) A three-dimensional multiscale model for gas exchange in fruit. Plant Physiol 155(3):1158–1168. https://doi.org/10.1104/pp.110.169391
Fanta SW, Abera MK, Aregawi WA, Quang Tri H, Verboven P, Carmeliet J, Nicolai BM (2014) Microscale modeling of coupled water transport and mechanical deformation of fruit tissue during dehydration. J Food Eng 124:86–96. https://doi.org/10.1016/j.jfoodeng.2013.10.007
Defraeye T, Verboven P (2017) Convective drying of fruit: role and impact of moisture transport properties in modelling. J Food Eng 193:95–107. https://doi.org/10.1016/j.jfoodeng.2016.08.013
Rogge S, Defraeye T, Herremans E, Verboven P, Nicolaï BM (2015) A 3D contour based geometrical model generator for complex-shaped horticultural products. J Food Eng 157:24–32. https://doi.org/10.1016/j.jfoodeng.2015.02.006
Gruyters W, Verboven P, Diels E, Rogge S, Smeets B, Ramon H, Defraeye T, Nicolaï BM (2018) Modelling cooling of packaged fruit using 3D shape models. Food Bioprocess Technol 11(11):2008–2020. https://doi.org/10.1007/s11947-018-2163-9
Nugraha B, Verboven P, Janssen S, Hertog MLATM, Boone M, Josipovic I, Nicolaï BM (2021) Oxygen diffusivity mapping of fruit and vegetables based on X-ray CT. J Food Eng 306:110640. https://doi.org/10.1016/j.jfoodeng.2021.110640
Antequera T, Caballero D, Grassi S, Uttaro B, Perez-Palacios T (2021) Evaluation of fresh meat quality by hyperspectral imaging (HSI), nuclear magnetic resonance (NMR) and Magnetic resonance imaging (MRI): a review. Meat Sci 172:108340. https://doi.org/10.1016/j.meatsci.2020.108340
Nicolaï BM, Verboven P, Scheerlinck N (2001) 4 - The modelling of heat and mass transfer. In Tijskens LMM, Hertog MLATM, Nicolaï BM (Eds.), Food Process Model (pp. 60–86). Woodhead Publishing. https://doi.org/10.1533/9781855736375.1.60
Zienkiewicz OC, Taylor RL, Zhu JZ (2013) The finite element method: Its basis and fundamentals. In Zienkiewicz OC, Taylor RL, Zhu JZ (Eds.), The Finite Element Method: its Basis and Fundamentals (Seventh Edition) (pp. i). Butterworth-Heinemann. https://doi.org/10.1016/B978-1-85617-633-0.00019-8
Mauro JC (2021) Chapter 6 - Numerical solutions of the diffusion equation. In Mauro JC (Ed.), Mater Kinetics (pp. 99–108). Elsevier. https://doi.org/10.1016/B978-0-12-823907-0.00025-X
Jeong W, Seong J (2014) Comparison of effects on technical variances of computational fluid dynamics (CFD) software based on finite element and finite volume methods. Int J Mech Sci 78:19–26. https://doi.org/10.1016/j.ijmecsci.2013.10.017
Mauricio V-RJ, Francisco S-VW (2017) Modeling Heat transfer during blanching of cubic particles of Loche (Cucurbita moschata Duch.) and potato (Solanum tuberosum L.) Using Finite Difference Method. J Food Process Eng 40(3):Article e12451. https://doi.org/10.1111/jfpe.12451
Lopes D, Agujetas R, Puga H, Teixeira J, Lima R, Alejo JP, Ferrera C (2021) Analysis of finite element and finite volume methods for fluid-structure interaction simulation of blood flow in a real stenosed artery. Int J Mech Sci 207:106650. https://doi.org/10.1016/j.ijmecsci.2021.106650
Icier F, Cokgezme ÖF, Döner D, Bayana D, Kaya O, Çabas BM (2021) Mathematical modelling of vacuum ohmic evaporation process. Innov Food Sci Emerg Technol 67:102560. https://doi.org/10.1016/j.ifset.2020.102560
Arias-Mendez A, Vilas C, Alonso AA, Balsa-Canto E (2014) Time-temperature integrators as predictive temperature sensors. Food Control 44:258–266. https://doi.org/10.1016/j.foodcont.2014.04.001
Cerqueira RFL, Paladino EE, Ynumaru BK, Maliska CR (2018) Image processing techniques for the measurement of two-phase bubbly pipe flows using particle image and tracking velocimetry (PIV/PTV). Chem Eng Sci 189:1–23. https://doi.org/10.1016/j.ces.2018.05.029
Al-Shemmeri M, Windows-Yule K, Lopez-Quiroga E, Fryer PJ (2021) Coffee bean particle motion in a spouted bed measured using positron emission particle Tracking (PEPT). J Food Eng 311:Article 110709. https://doi.org/10.1016/j.jfoodeng.2021.110709
Isola JVV, Menegazzi G, Busanello M, dos Santos SB, Agner HSS, Sarubbi J (2020). Differences in body temperature between black-and-white and red-and-white Holstein cows reared on a hot climate using infrared thermography. J Ther Biol 94:102775. https://doi.org/10.1016/j.jtherbio.2020.102775
Malekjani N, Jafari SM (2018) Simulation of food drying processes by Computational Fluid Dynamics (CFD): recent advances and approaches. Trends Food Sci Technol 78:206–223. https://doi.org/10.1016/j.tifs.2018.06.006
Norton T, Tiwari B, Sun DW (2013) Computational fluid dynamics in the design and analysis of thermal processes: a review of recent advances. Crit Rev Food Sci Nutr 53(3):251–275. https://doi.org/10.1080/10408398.2010.518256
Boz Z, Erdogdu F, Tutar M (2014) Effects of mesh refinement, time step size and numerical scheme on the computational modeling of temperature evolution during natural-convection heating. J Food Eng 123:8–16. https://doi.org/10.1016/j.jfoodeng.2013.09.008
Cardinale T, De Fazio P, Grandizio F (2016) Numerical and experimental computation of airflow in a transport container. Int J Heat Tech 34(4):734–742. https://doi.org/10.18280/ijht.340426
Hussein MA, Becker T (2010) An innovative micro-modelling of simultaneous heat and moisture transfer during bread baking using the lattice Boltzmann method. Food Biophys 5(3):161–176. https://doi.org/10.1007/s11483-010-9156-1
Obrecht C, Kuznik F, Merlier L, Roux J-J, Tourancheau B (2015) Towards aeraulic simulations at urban scale using the lattice Boltzmann method. Environ Fluid Mech 15(4):753–770. https://doi.org/10.1007/s10652-014-9381-0
Gaedtke M, Wachter S, Rädle M, Nirschl H, Krause MJ (2018) Application of a lattice Boltzmann method combined with a Smagorinsky turbulence model to spatially resolved heat flux inside a refrigerated vehicle. Comput MathAppl 76(10):2315–2329. https://doi.org/10.1016/j.camwa.2018.08.018
Defraeye T, Herremans E, Verboven P, Carmeliet J, Nicolai B (2012) Convective heat and mass exchange at surfaces of horticultural products: a microscale CFD modelling approach. Agric Forest Meteorol 162–163, 71–84. https://doi.org/10.1016/j.agrformet.2012.04.010
Welsh Z, Simpson MJ, Khan MIH, Karim MA (2018) Multiscale modeling for food drying: state of the art. Compr Rev Food Sci Food Saf 17(5):1293–1308. https://doi.org/10.1111/1541-4337.12380
Wang N, Kan A, Huang Z, Lu J (2019) CFD simulation of heat and mass transfer through cylindrical Zizania latifolia during vacuum cooling. Heat And Mass Transfer 56(2):627–637. https://doi.org/10.1007/s00231-019-02736-5
Chandramohan VP (2016) Numerical prediction and analysis of surface transfer coefficients on moist object during heat and mass transfer application. Heat Transfer Eng 37(1):53–63. https://doi.org/10.1080/01457632.2015.1042341
Funding
The authors gratefully acknowledge the National Natural Science Foundation of China Program in 2022 (Grant No. 3216160344), and Key R&D Program of Ningxia Hui Autonomous Region in 2018, and “Research and development of key technology and equipment for cold chain storage of typical fruits and vegetables in Ningxia” (Grant No. 2018BCF01001).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Ethics Approval
This article does not contain any studies with human participants or animals performed by any of the authors.
Conflict of Interest
The authors declare no competing interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Yin, J., Guo, M., Liu, G. et al. Research Progress in Simultaneous Heat and Mass Transfer of Fruits and Vegetables During Precooling. Food Eng Rev 14, 307–327 (2022). https://doi.org/10.1007/s12393-022-09309-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12393-022-09309-z