A new method for predicting sorption isotherms at different temperatures: Extension to the GAB model

Abstract In this work, the new methodology for parameter estimation using less experimental data proposed in Staudt et al. (2013) is extended to be used with the GAB model. In addition, a modification in the Arrhenius form for temperature dependency of the energetic constant C is proposed in order to avoid numerical instabilities during parameter estimation. When compared to the original work, one additional parameter, k needs to be estimated but still only one isotherm and one value of net isosteric heat of sorption is required to build the whole set of sorption isotherms. Different food materials were successfully tested providing good fitting and prediction results attesting that the advantages of the methodology originally developed for the BET model are kept with the GAB model.

[1]  Thodoris D. Karapantsios,et al.  Water sorption isotherms and glass transition temperature of spray dried tomato pulp , 2008 .

[2]  L. Sanni,et al.  Moisture sorption isotherms of fufu and tapioca at different temperatures , 1997 .

[3]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[4]  S. Yanniotis,et al.  Water Sorption Isotherms of Pistachio Nuts , 1996 .

[5]  A. Secchi,et al.  Modeling P(3HB) production by Bacillus megaterium , 2012 .

[6]  Argimiro R. Secchi,et al.  Teaching chemical reaction engineering using EMSO simulator , 2010, Comput. Appl. Eng. Educ..

[7]  Min Ji Lee,et al.  Effect of drying method on the moisture sorption isotherms for Inonotus obliquus mushroom , 2008 .

[8]  A. Al-Muhtaseb,et al.  Moisture sorption isotherm characteristics of food products: A review , 2002 .

[9]  E. Timmermann.  Multilayer sorption parameters: BET or GAB values? , 2003 .

[10]  M. Peleg.  Assessment of a semi-empirical four parameter general model for sigmoid moisture sorption isotherms , 1993 .

[11]  N. Sanjuán,et al.  Equilibrium isotherms and isosteric heats of morel (Morchella esculenta) , 2002 .

[12]  Argimiro R. Secchi,et al.  Assessing the production of first and second generation bioethanol from sugarcane through the integration of global optimization and process detailed modeling , 2012, Comput. Chem. Eng..

[13]  S. Bruin,et al.  Water activity and its estimation in food systems: theoretical aspects , 1978 .

[14]  F. Kaymak-Ertekin,et al.  Sorption isotherms and isosteric heat of sorption for grapes, apricots, apples and potatoes , 2004 .

[15]  N. Menkov.  Moisture sorption isotherms of chickpea seeds at several temperatures , 2000 .

[16]  Sherman E. Smith.  The Sorption of Water Vapor by High Polymers , 1947 .

[17]  J. V. García-Pérez,et al.  Water sorption isotherms for lemon peel at different temperatures and isosteric heats , 2008 .

[18]  Da-Wen Sun,et al.  Desorption isotherms for cooked and cured beef and pork , 2002 .

[19]  T. Labuza,et al.  Effect of Temperature on the Moisture Sorption Isotherms and Water Activity Shift of Two Dehydrated Foods , 2006 .

[20]  S. Henderson.  A basic concept of equilibrium moisture , 1952 .

[21]  E. Teller,et al.  ADSORPTION OF GASES IN MULTIMOLECULAR LAYERS , 1938 .

[22]  José Bon,et al.  Sorption Isosteric Heat Determination by Thermal Analysis and Sorption Isotherms , 1999 .

[23]  A. Secchi,et al.  Dynamic Simulation of Rosemary Essential Oil Extraction in an Industrial Steam Distillation Unit , 2011 .

[24]  T. Magee,et al.  The determination of sorption isotherm and the isosteric heats of sorption for potatoes , 1998 .

[25]  L. A. Pinto,et al.  Desorption isotherms and thermodynamics properties of anchovy in natura and enzymatic modified paste , 2012 .

[26]  G. Robertson,et al.  Comparison of regression methods for fitting the GAB model to the moisture isotherms of some dried fruit and vegetables , 1991 .

[27]  Xuewen Ni,et al.  Mechanism of lowering water activity of konjac glucomannan and its derivatives , 2012 .

[28]  J. Telis‐Romero,et al.  Modelling Thermodynamic Properties of Banana Waste by Analytical Derivation of Desorption Isotherms , 2012 .

[29]  N. Cardozo,et al.  A new method for predicting sorption isotherms at different temperatures using the BET model , 2013 .

[30]  Zacharias B. Maroulis,et al.  Application of the GAB model to the moisture sorption isotherms for dried fruits , 1988 .

[31]  P. Vírseda,et al.  Moisture desorption isotherms of rough rice at high temperatures , 2007 .

[32]  L. Marczak,et al.  Water adsorption isotherms of texturized soy protein , 2006 .

[33]  L. A. Pinto,et al.  Moisture sorption properties of chitosan , 2010 .

[34]  G. Saravacos,et al.  Effect of Temperature on the Water Adsorption Isotherms of Sultana Raisins , 1986 .

[35]  J. Chirife,et al.  Water sorption isotherms of foods and foodstuffs : BET or GAB parameters? , 2001 .

[36]  L. Marczak,et al.  Adsorption isotherms of pinhão (Araucaria angustifolia seeds) starch and thermodynamic analysis. , 2010 .

[37]  Argimiro Resende Secchi,et al.  EMSO: A new environment for modelling, simulation and optimisation , 2003 .

[38]  Theodore P. Labuza,et al.  Evaluation of food moisture sorption isotherm equations part I: Fruit, vegetable and meat products , 1985 .

[39]  C. R. Oswin.  The kinetics of package life. III. The isotherm , 1946 .