A Numerical Approach to Determine Some Properties of Cylindrical Pieces of Bananas During Drying
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Wilton Pereira da Silva
, Cleide M. D. P. S. e Silva
Abstract
This article uses several liquid diffusion models to describe convective drying of bananas cut into cylindrical pieces. A two-dimensional numerical solution of the diffusion equation with boundary condition of the third kind, obtained through the finite volume method, was used to describe the process. The cylindrical pieces were cut into the following dimensions: length of about 21 mm and average radius of 15 mm. Drying air temperatures were 40°C, 50°C, 60°C and 70°C. In order to determine the process parameters, an optimizer was coupled with the numerical solution. A model that considers the shrinkage and variable effective moisture diffusivity well describes drying for all the experimental conditions, and enables to predict the moisture distributions at any given time. For this model, the determination coefficient has varied from 0.99937 (70°C) to 0.99995 (40°C), while the chi-square ranged from 3.41 × 10−4 (40°C) to 4.15 × 10−3 (70°C).
Acknowledgments
The author Wilton Pereira da Silva would like to thank CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico) for the support given to this work and for his research grant (Process Number 301697/2012-4).
References
1. NguyenMH, PriceWE. Air-drying of banana: influence of experimental parameters, slab thickness, banana maturity and harvesting season. J Food Eng2007;79:200–7.10.1016/j.jfoodeng.2006.01.063Search in Google Scholar
2. FernandoWJN, LowHC, AhmadAL. Dependence of the effective diffusion coefficient of moisture with thickness and temperature in convective drying of sliced materials. A study on slices of banana, cassava and pumpkin. J Food Eng2011;102:310–16.10.1016/j.jfoodeng.2010.09.004Search in Google Scholar
3. Da SilvaWP, SilvaCMDPS, GamaFJA, GomesJP. Mathematical models to describe thin-layer drying and to determine drying rate of whole bananas. J Saudi Soc Agric Sci2013;DOI:10.1016/j.jssas.2013.01.003.Search in Google Scholar
4. BainiR, LangrishTAG. An assessment of the mechanisms for diffusion in the drying of bananas. J Food Eng2008;85:201–14.10.1016/j.jfoodeng.2007.06.035Search in Google Scholar
5. PhoungchandangS, WoddsJL. Moisture diffusion and desorption isotherms for banana. J Food Sci2000;65(4):651–7.10.1111/j.1365-2621.2000.tb16067.xSearch in Google Scholar
6. QueirozMR, NebraAS. Theoretical and experimental analysis of the drying kinetics of bananas. J Food Eng2001;47:127–32.10.1016/S0260-8774(00)00108-4Search in Google Scholar
7. GastónAL, AbaloneRM, GinerSA. Wheat drying kinetics. Diffusivities for sphere and ellipsoid by finite elements. J Food Eng2002;52:313–22.10.1016/S0260-8774(01)00121-2Search in Google Scholar
8. LimaAGB, QueirozMR, NebraAS. Simultaneous moisture transport and shrinkage during drying of solids with ellipsoidal configuration. Chem Eng J2002;86:85–93.10.1016/S1385-8947(01)00276-5Search in Google Scholar
9. DoymazI. Drying behaviour of green beans. J Food Eng2005;65:161–5.10.1016/j.jfoodeng.2004.08.009Search in Google Scholar
10. CarmoJEF, LimaAGB. Drying of lentil including shrinkage: A numerical simulation. Drying Technol2005;23:1977–92.10.1080/07373930500210424Search in Google Scholar
11. HacihafizogluO, CihanA, KahveciK, LimaAGB. A liquid diffusion model for thin-layer drying of rough rice. Eur Food Res Technol2008;226:787–93.10.1007/s00217-007-0593-0Search in Google Scholar
12. SilvaWP, PreckerJW, SilvaDDPS, SilvaCDPS, LimaAGB. Numerical simulation of diffusive processes in solids of revolution via the finite volume method and generalized coordinates. Int J Heat Mass Transfer2009;52:4976–85.10.1016/j.ijheatmasstransfer.2009.05.008Search in Google Scholar
13. SilvaWP, SilvaCMDPS, SilvaDDPS, NevesGA, LimaAGB. Mass and heat transfer study in solids of revolution via numerical simulations using finite volume method and generalized coordinates for the Cauchy boundary condition. Int J Heat Mass Transfer2010;53:1183–94.10.1016/j.ijheatmasstransfer.2009.10.028Search in Google Scholar
14. Da SilvaWP, FariasVSO, NevesGA, LimaAGB. Modeling of water transport in roof tiles by removal of moisture at isothermal conditions. Heat Mass Transfer2012;48:809–21.10.1007/s00231-011-0931-4Search in Google Scholar
15. SilvaWP, SilvaCMDPS, FariasVSO, GomesJP. Diffusion models to describe the drying process of peeled bananas: optimization and simulation. Drying Technol2012;30:164–74.10.1080/07373937.2011.628554Search in Google Scholar
16. SilvaWP, SilvaCMDPS, GomesJP. Drying description of cylindrical pieces of bananas in different temperatures using diffusion models. J Food Eng2013;117:417–24.10.1016/j.jfoodeng.2013.03.030Search in Google Scholar
17. LuikovAV. Analytical heat diffusion theory. New York, NY: Academic Press, 1968.Search in Google Scholar
18. CrankJ. The mathematics of diffusion. Oxford, UK: Clarendon Press, 1992.Search in Google Scholar
19. LimaDR, FariasSN, LimaAGB. Mass transport in spheroids using the Galerkin method. Braz J Chem Eng2004;21:667–80.10.1590/S0104-66322004000400016Search in Google Scholar
20. SilvaWP, SilvaLD, FariasVSO, SilvaCMDPS. Water migration in clay slabs during drying: a three-dimensional numerical approach. Ceramics Int2013;39:4017–30.10.1016/j.ceramint.2012.10.252Search in Google Scholar
21. PatankarSV. Numerical heat transfer and fluid flow. New York, NY: Hemisphere Publishing Corporation, 1980.Search in Google Scholar
22. BevingtonPR, RobinsonDK. Data reduction and error analysis for the physical sciences, 2nd ed. Boston, MA: WCB/McGraw-Hill, 1992.10.1119/1.17439Search in Google Scholar
23. TaylorJR. An introduction to error analysis, 2nd ed. Sausalito, CA: University Science Books, 1997.Search in Google Scholar
24. Da SilvaWP, SilvaCMDPS, NascimentoPL, CarmoJEF, SilvaDDPS. Influence of the geometry on the numerical simulation of the cooling kinetics of cucumbers. Spanish J Agric Res2011;9:242–51.10.5424/sjar/20110901-055-10Search in Google Scholar
25. Da SilvaWP, SilvaLD, FariasVSO, SilvaCMDPS. Water migration in clay slabs during drying: A three-dimensional numerical approach. Ceramics Int2013;39:4017–30.10.1016/j.ceramint.2012.10.252Search in Google Scholar
26. KarimMA, HawladerMNA. Drying characteristics of banana: theoretical modelling and experimental validation. J Food Eng2005;70:35–45.10.1016/j.jfoodeng.2004.09.010Search in Google Scholar
27. PerusselloCA, KumarC, de CastilhosF, KarimMA. Heat and mass transfer modeling of the osmo-convective drying of yacon roots (Smallanthus sonchifolius). Appl Thermal Eng2013;63:23–32.10.1016/j.applthermaleng.2013.10.020Search in Google Scholar
28. BainiR, LangrishTAG. Choosing an appropriate drying model for intermittent and continuous drying of bananas. J Food Eng2007;79:330–43.10.1016/j.jfoodeng.2006.01.068Search in Google Scholar
29. KaletaA, GórnickiK. Evaluation of drying models of apple (var. McINTOSH) dried in a convective dryer. Int J Food Sci Technol2010;45:891–8.10.1111/j.1365-2621.2010.02230.xSearch in Google Scholar
30. García-PérezJV, OzunaC, OrtuñoC, CárcelJA, MuletA. Modeling ultrasonically assisted convective drying of eggplant. Drying Technol2011;29:1499–509.10.1080/07373937.2011.576321Search in Google Scholar
31. EfremovG, KudraT. Model-based estimate for time-dependent apparent diffusivity. Drying Technol2005;23:2513–22.10.1080/07373930500340387Search in Google Scholar
32. SilvaWP, HamawandI, SilvaCMDPS. A liquid diffusion model to describe drying of whole bananas using boundary-fitted coordinates. J Food Eng2014;137:32–8.10.1016/j.jfoodeng.2014.03.029Search in Google Scholar
33. SilvaWP, SilvaCMDPS, GamaFJA. Estimation of thermo-physical properties of products with cylindrical shape during drying: the coupling between mass and heat. J Food Eng2014;141:65–73.10.1016/j.jfoodeng.2014.05.010Search in Google Scholar
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Articles in the same Issue
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- A Numerical Approach to Determine Some Properties of Cylindrical Pieces of Bananas During Drying
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Articles in the same Issue
- Frontmatter
- Soft Tofu-Type Gels: Relationship between Volatile Compounds and Sensory Characteristics as Affected by Coagulants and Raw Materials
- Preparation and Characterization of Genipin-Crosslinked Chitosan Microspheres for the Sustained Release of Salidroside
- A Numerical Approach to Determine Some Properties of Cylindrical Pieces of Bananas During Drying
- Pasting, Textural and Sensory Characteristics of the Kofter, A Fruit-Based Dessert: Effect of Molasses and Water Concentration
- Microwave-Assisted Extraction of Phenolic Compounds from Dried Waste Grape Skins
- Effect of Cooking Temperature on Mineral Content and Anti-nutritional Factors of Yam and Taro Grown in Southern Ethiopia
- Isolation of Linoleic Acid from Sambucus williamsii Seed Oil Extracted by High Pressure Fluid and Its Antioxidant, Antiglycemic, Hypolipidemic Activities
- Comparison of Artificial Neural Network and Response Surface Methodology Performance on Fermentation Parameters Optimization of Bioconversion of Cashew Apple Juice to Gluconic Acid
- Modeling the Total Residence Time in a Rotary Dryer
- Optimization of Spray Drying Process Parameters for Sweet Corn Enzymolysis Liquid
- Hot Air Drying Characteristics of Sukkari Date (Phoenix dactylifera L.) and Effects of Drying Condition on Fruit Color and Texture
- Effects of Air-Impingement Jet Drying on Drying Kinetics, Nutrient Retention and Rehydration Characteristics of Onion (Allium cepa) Slices