STATISTIČKA OCENA NEKIH ČETIRI PARAMETARSKIH MODELA SORPCIONIH IZOTERMI

  • Vangelče Mitrevski Fakultet tehničkih nauka, Bitola
Ključne reči: izoterme sorpcije, četiri parametarski modeli, statistička ocena

Sažetak


Krive sorpcije i desorpcije su veoma važne pri definisanju ravnotežne vlažnosti i aktivnosti vode. Predviđanje promena ovih veličina u zavisnosti od stanja okolnog vazduha su veoma važne za sušenje i skladištenje poljoprivrednog proizvoda. Izoterme sorpcije vlage opisuju odnos između ravnotežnog sadržaja vlage i aktivnosti vode pri konstantnim temperaturama i pritiscima. Za preradu prehrambenih materijala važne su sorpcione izoterme u modelovanju procesa sušenja, projektovanju i optimizaciji opreme za sušenje, predviđanju stabilnosti roka trajanja, izračunavanju promena vlažnosti, koje se mogu pojaviti tokom skladištenja i izbor   odgovarajućeg materijala za pakovanje U radu su korišćeni esperimentalni ravnotežne vlažnosti dunje, odnosno sorpcionih krivih. Za aproksimaciju sorpcionih podataka prehrambenih materijala u naučnoj literaturi dostupni su brojni matematički modeli. Zavisno od broja parametara, modeli mogu biti jedno, dvo, tro, četvoro ili više parametarski. U radu je prikazana statistička ocena trideset dva četiriparametarskih modela koji su korišćeni za aproksimaciju ravnotežne vlažnosti dunje.  Analizirani modeli su preuzeti iz refrentne svetske  literature, a nekoh od njih su izvorno generisani.  Na osnovu dobijenih rezultatata može se zaključiti da modeli Popovski&Mitrevski sa referentnim brojem M25 i M30 i model McLarenN&Rowen imaju najbolje statističke performanse. Glavni kriterijum ocene bio je koeficijent determinacije čija je vrednost za najbolje ocenjeni model je R2 = 0.9957. Vrednosti statističkih parametara modela procenjene su slaganjem proračunatih sa eksperimentalnim podacima ravnotežne vlažnosti dunje korišćenjem metodom koji minimizira greške sume kvadrata.

Reference

Boquet, R., Chirife, J., Iglesias, H. 1978. Equations for fitting water sorption isotherm of foods. II. Evaluation on various two-parameters model. International Journal of Food Science and Technology, 13(4), 319-327.

Castillo, M.D., Martínez, E.J., González, H.H.L., Pacin, A.M., Resnik, S.L. 2003. Study of mathematical models applied to sorption isotherms of Argentinean black bean varieties. Journal of Food Engineering 60(4), 343-348.

Enderby, J.A., 1955, Water adsorption by polymers, Transac-tions of the Faraday Society, 51 (1), pp. 106-116.

Kaymak-Ertekin, F. ,Gedik, A. 2004. Sorption isotherms and isosteric heat of sorption for grapes, apricots, apples and potatoes. LWT-Food Science and Technology, 37(4), 429-428.

Kollmann, F., 1962, Eine gleichung der sorptionsisotherme, The Science of Nature, 49 (9), pp. 206-207.

McLaren, A. D., Rowen, J. W., 1951, Sorption of water vapor by proteins and polymers: A review, Journal of Polymer Science 7 (2&3), pp. 289-324.

Mitrevski, V., Mijakovski, V., Geramitcioski, T., Lutovska, M. 2012. Comparison between the transcendental and cyclometric sorption isotherm models. Journal on Processing and Energy in Agriculture, 16(1), 1-5.

Mitrevski, V., Lutovska, M., Mijakovski, V., Pavkov, I., Babic, M., Radojcin, M. 2015. Adsorption isotherm of pear at several temperatures.Thermal Sciences, 19(3), 1119-1129.

Mitrevski, V., Lutovska, M., Pavkov, I., Mijakovski, V., Pop-ovski, F. 2015a. The Power Series as Water Sorption Iso-therm Models. Journal of Food Process Engineering, 39(2), 178-185.

Mitrevski, V., Mitrevska, C., Mijakovski, V., Pavkov, I., Geramitcioski, T. 2018. Mathematical modelling of the sorption iostherms of quince. Thermal Sciences, 21(5), 1965-1973.

Mitrevski, V., Mitrevska, C., Babic, M. 2019. Statistical evaluation of two-parameter sorption isotherm models. Journal on Processing and Energy in Agriculture, 22(1), 1-5.

Peleg, M., 1993, Assessment of a semi-empirical four param-eter general model for sigmoid moisture sorption isotherms, Journal of Food Process Engineering, 16 (1), pp 21-37.

Popovski, D., Mitrevski, V. 2004 Temperature influence on desorption isotherms. Proceedings of the 14th International Drying Symposium (IDS 2004), Sao Paulo, 22-25 August, Vol. A, 254-257.

Popovski, D., Mitrevski, V., 2004, Some new four parameter models for moisture sorption isotherms, Electronic Journal of Environmental, Agricultural and Food Chemistry, 3 (3), pp. 698- 701.

Popovski, D., Mitrevski, V., 2004a, A method for extension of the water sorption isotherm models, Electronic Journal of Environmental, Agricultural and Food Chemistry, 3 (6), pp. 799- 803.

Popovski, D., Mitrevski, V., 2005, Method of free parameter for extension of the water sorption isotherm models, Proceedings, 32nd International Conference of Slovak Society of Chemical Engineering, Tatranske Matliare, Slovakia, pp. 1-5.

Popovski, D., Mitrevski, V., 2005a, A method for generating water sorption isotherm models, Electronic Journal of Environmental, Agricultural and Food Chemistry, 4 (35), pp. 945-948.

Popovski, D., Mitrevski, V., 2005b, A generator of water desorption isotherm models, Proceedings, 11th Polish Drying Symposium, Poznan, Polańd, pp. 1-4.

Popovski, D., Mitrevski, V. 2006. Two methods for generating new water sorption isotherm models. Electronic Journal of Environmental, Agricultural and Food Chemistry, 5(3), 1407- 1410.

Vega-Galvez, A., Lemus-Mondaca, R., Fito, P., Andres, A. 2007. Moisture sorption isotherms and isosteric heat of red bell pepper (var. Lamuyo). Journal of Food Science, 13(4), pp. 309-316.

van den Berg, C. 1984. Description of water activity of foods for engineering purposes by means of the GAB model of sorption, In Engineering and food, Vol.1, B.M. McKenna (ed.). Elsevier Applied Science Publisher, London, 311-321.

***, Statistica (Data Analysis Software System), v.10.0, Stat-Soft, Inc, USA, 2011.

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2020/04/10
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