Multiphase porous media modelling: A novel approach to predicting food processing performance

ABSTRACT The development of a physics-based model of food processing is essential to improve the quality of processed food and optimize energy consumption. Food materials, particularly plant-based food materials, are complex in nature as they are porous and have hygroscopic properties. A multiphase porous media model for simultaneous heat and mass transfer can provide a realistic understanding of transport processes and thus can help to optimize energy consumption and improve food quality. Although the development of a multiphase porous media model for food processing is a challenging task because of its complexity, many researchers have attempted it. The primary aim of this paper is to present a comprehensive review of the multiphase models available in the literature for different methods of food processing, such as drying, frying, cooking, baking, heating, and roasting. A critical review of the parameters that should be considered for multiphase modelling is presented which includes input parameters, material properties, simulation techniques and the hypotheses. A discussion on the general trends in outcomes, such as moisture saturation, temperature profile, pressure variation, and evaporation patterns, is also presented. The paper concludes by considering key issues in the existing multiphase models and future directions for development of multiphase models.

[1]  M. H. Akbari,et al.  Design a cabinet dryer with two geometric configurations using CFD , 2013, Journal of Food Science and Technology.

[2]  S. S. Torres,et al.  True density and apparent density during the drying process for vegetables and fruits: a review. , 2012, Journal of food science.

[3]  Jules Thibault,et al.  STUDY OF HEAT AND MASS TRANSFER DURING IR DRYING OF PAPER , 1994 .

[4]  P. Lewicki,et al.  Food properties handbook , 2009 .

[5]  V. S. Vaidhyanathan,et al.  Transport phenomena , 2005, Experientia.

[6]  C. N. Standing.  INDIVIDUAL HEAT TRANSFER MODES IN BAND OVEN BISCUIT BAKING , 1974 .

[7]  A. Datta,et al.  Moisture, Oil and Energy Transport During Deep-Fat Frying of Food Materials , 1999 .

[8]  R. V. D. Sman.  Soft condensed matter perspective on moisture transport in cooking meat , 2007 .

[9]  Reza Masoodi,et al.  Numerical simulation of liquid absorption in paper‐like swelling porous media , 2012 .

[10]  Ashim K. Datta,et al.  Enabling computer-aided food process engineering: Property estimation equations for transport phenomena-based models , 2013 .

[11]  D. J. Lee.  Moisture distribution and removal efficiency of waste activated sludges , 1996 .

[12]  V. M. Puri,et al.  Finite element modeling of heat and mass transfer in food materials during microwave heating — Model development and validation , 1995 .

[13]  B. A. Olmstead,et al.  Heat and mass transfer in wood during drying , 1985 .

[14]  M. Dostie,et al.  Porous multiphase approach for baking process – Explicit formulation of evaporation rate , 2010 .

[15]  Adrian Bejan,et al.  The effect of shrinkage on the cooking of meat , 1991 .

[16]  A. Datta,et al.  HEAT AND MOISTURE TRANSFER IN BAKING OF POTATO SLABS , 1999 .

[17]  Hao Feng,et al.  Intrinsic and relative permeability for flow of humid air in unsaturated apple tissues , 2004 .

[18]  Zacharias B. Maroulis,et al.  DENSITIES, SHRINKAGE AND POROSITY OF SOME VEGETABLES DURING AIR DRYING , 1994 .

[19]  M. J. Urbicain,et al.  TOTAL POROSITY AND OPEN-PORE POROSITY IN THE DRYING OF FRUITS , 1980 .

[20]  Brian A. Fricke,et al.  Food thermophysical property models , 1999 .

[21]  A. Datta.  Porous media approaches to studying simultaneous heat and mass transfer in food processes. II: Property data and representative results , 2007 .

[22]  P. Perré,et al.  Detailed study of a model of heat and mass transfer during convective drying of porous media , 1988 .

[23]  A. Datta,et al.  An Improved, Easily Implementable, Porous Media Based Model for Deep-Fat Frying , 2007 .

[24]  Chandan Kumar,et al.  Multiphase porous media model for Intermittent Microwave Convective Drying (IMCD) of food , 2016 .

[25]  K. Gernaey,et al.  3D modelling of coupled mass and heat transfer of a convection-oven roasting process. , 2013, Meat science.

[26]  Munir Cheryan,et al.  THERMAL CONDUCTIVITY OF LIQUID FOODS—A REVIEW , 1978 .

[27]  G. Mittal,et al.  Low-Fat Fried Foods with Edible Coatings: Modeling and Simulation , 1999 .

[28]  E. W. Washburn.  The Dynamics of Capillary Flow , 1921 .

[29]  Ferhan Kayihan,et al.  A mathematical model of drying for hygroscopic porous media , 1986 .

[30]  L. E. Erickson,et al.  MODELING HEAT AND MASS TRANSFER DURING THE OVEN ROASTING OF MEAT , 1984 .

[31]  J. N. Ikediala,et al.  Finite element modeling of heat transfer in meat patties during single-sided pan-frying , 1996 .

[32]  Walter G. Chapman,et al.  The Properties of Gases and Liquids, 5th Edition By Bruce E. Poling (University of Toledo), John M. Prausnitz (University of California at Berkeley), and John P. O'Connell (University of Virginia). McGraw-Hill: New York. 2001. 768 pp. $115.00. ISBN 0-07-011682-2. , 2001 .

[33]  Flavio Manenti,et al.  Bread baking modeling: Coupling heat transfer and weight loss by the introduction of an explicit vaporization term , 2015 .

[34]  E. Jorge,et al.  THERMAL PROPERTIES OF FOODS , 1997 .

[35]  Nonequilibrium Thermal Dynamic Modeling of Porous Medium Vacuum Drying Process , 2012 .

[36]  M. Hawlader,et al.  Mathematical modelling and experimental investigation of tropical fruits drying , 2005 .

[37]  I. Dincer,et al.  Modelling of thermal and moisture diffusions in cylindrically shaped sausages during frying. , 1996 .

[38]  Vincenza Calabrò,et al.  Simulation of food drying: FEM analysis and experimental validation , 2008 .

[39]  G. Millar,et al.  Effective Diffusivity and Evaporative Cooling in Convective Drying of Food Material , 2015 .

[40]  Sauro Pierucci,et al.  A study of the bread-baking process. I: A phenomenological model , 1993 .

[41]  Ian Turner,et al.  A heterogeneous three-dimensional computational model for wood drying , 2005 .

[42]  R. E. Bolz,et al.  CRC Handbook of tables for Applied Engineering Science , 1970 .

[43]  M. Joardder,et al.  Determination of appropriate effective diffusivity for different food materials , 2017 .

[44]  Ashim K. Datta,et al.  Porous Media Based Model for Deep-Fat Vacuum Frying Potato Chips , 2012 .

[45]  K. Torrance,et al.  Moisture transport in intensive microwave heating of biomaterials: a multiphase porous media model , 1999 .

[46]  MATHEMATICAL-MODELING OF TRANSIENT HEAT AND MASS-TRANSPORT IN A BAKING BISCUIT , 1994 .

[47]  Ashim K. Datta,et al.  An Improved, Easily Implementable, Porous Media Based Model for Deep-Fat Frying: Part II: Results, Validation and Sensitivity Analysis , 2007 .

[48]  B. Farkas,et al.  Modeling heat and mass transfer in immersion frying. II, model solution and verification , 1996 .

[49]  A. Datta.  Porous media approaches to studying simultaneous heat and mass transfer in food processes. I: Problem formulations , 2007 .

[50]  B. Farkas,et al.  Modeling heat and mass transfer in immersion frying. I, model development , 1996 .

[51]  R G M van der Sman.  Moisture transport during cooking of meat: An analysis based on Flory-Rehner theory. , 2007, Meat science.

[52]  Aydin Ungan,et al.  Numerical modeling of microwave induced natural convection , 2000 .

[53]  Shyam S. Sablani,et al.  Modeling of Simultaneous Heat and Water Transport in the Baking Process , 1998 .

[54]  M. Roques,et al.  Simulation of vacuum drying by coupling models , 2007 .

[55]  A. Datta,et al.  A multiphase porous medium transport model with distributed sublimation front to simulate vacuum freeze drying , 2015 .

[56]  Rosana G. Moreira,et al.  Total frying‐use time effects on soybean‐oil deterioration and on tortilla chip quality , 1996 .

[57]  Ian Turner,et al.  A 3-D version of TransPore: a comprehensive heat and mass transfer computational model for simulating the drying of porous media , 1999 .

[58]  Michael E. Dikeman,et al.  Simulation of Cooking Cylindrical Beef Roasts , 2002 .

[59]  G. D. Saravacos,et al.  Density and Porosity in Drying Starch Materials , 1990 .

[60]  S. Mukherjee,et al.  Transport processes and large deformation during baking of bread , 2005 .

[61]  Vincent E. Sweat,et al.  EXPERIMENTAL VALUES OF THERMAL CONDUCTIVITY OF SELECTED FRUITS AND VEGETABLES , 1974 .

[62]  Ashim K. Datta,et al.  Microwave puffing: Determination of optimal conditions using a coupled multiphase porous media – Large deformation model , 2011 .

[63]  H. Oueslati,et al.  Experimental study and numerical modelling of drying characteristics of apple slices , 2012 .

[64]  Hao Feng,et al.  Heat and mass transport in microwave drying of porous materials in a spouted bed , 2001 .

[65]  Xinlong Luo,et al.  Geometric Buildup Algorithms for Sensor Network Localization , 2012 .

[66]  R.G.M. van der Sman,et al.  Moisture transport during cooking of meat: An analysis based on Flory-Rehner theory. , 2007 .

[67]  B. Marcos,et al.  Modeling of internal moisture transport during durum wheat pasta drying , 2014 .

[68]  Ibrahim Dincer,et al.  Experimental and numerical investigation of heat and mass transfer during drying of Hayward kiwi fruits (Actinidia Deliciosa Planch) , 2008 .

[69]  J. Bear.  Dynamics of Fluids in Porous Media , 1975 .

[70]  Finite element analysis of coupled heat, mass, and pressure transfer in porous biomaterials , 1994 .

[71]  C. Skaar,et al.  A model for bound-water transport in wood , 1982, Wood Science and Technology.

[72]  Dariush Mowla,et al.  Mathematical modeling of microwave-assisted inert medium fluidized bed drying of cylindrical carrot samples , 2009 .

[73]  Karsten Pruess,et al.  The TOUGH Codes—A Family of Simulation Tools for Multiphase Flow and Transport Processes in Permeable Media , 2003 .

[74]  Ingegerd Sjöholm,et al.  The mechanisms controlling heat and mass transfer on frying of beefburgers. III. Mass transfer evolution during frying , 2006 .

[75]  J. M. Aguilera,et al.  Fat Migration in Chocolate: Diffusion or Capillary Flow in a Particulate Solid?—A Hypothesis Paper , 2006 .

[76]  Adrian E. Scheidegger,et al.  The physics of flow through porous media , 1957 .

[77]  Stefano Curcio,et al.  A Multiphase Model to Analyze Transport Phenomena in Food Drying Processes , 2010 .

[78]  Ashim K. Datta,et al.  Multiphase and multicomponent transport with phase change during meat cooking , 2012 .

[79]  Richard J. Brown,et al.  Prediction of shrinkage and porosity during drying: Considering both material properties and process conditions , 2015 .

[80]  P. Senior,et al.  Investigation of batch fluidized-bed drying by mathematical modeling, CFD simulation and ECT measurement , 2008 .

[81]  M. Shafiur Rahman,et al.  A Theoretical Model to Predict the Formation of Pores in Foods During Drying , 2003 .

[82]  Irina V. Belova,et al.  Thermal properties of composite materials and porous media: lattice-based Monte Carlo approaches | NOVA. The University of Newcastle's Digital Repository , 2008 .

[83]  K. Fikiin,et al.  Predictive equations for thermophysical properties and enthalpy during cooling and freezing of food materials , 1999 .

[84]  Servet Gulum Sumnu,et al.  Thermal Properties of Foods , 2006 .

[85]  A. Datta,et al.  Water transport in cellular tissues during thermal processing , 2011 .

[86]  W. Jomaa,et al.  Application of a Coupled Thermo-Hydro-Mechanical Model to Simulate the Drying of Nonsaturated Porous Media , 2009 .

[87]  K. Gernaey,et al.  Modelling of coupled heat and mass transfer during a contact baking process , 2011 .

[88]  M. Caurie.  Bound water: its definition, estimation and characteristics , 2011 .

[89]  A. Raisi,et al.  Mathematical Modeling on Air Drying of Apples Considering Shrinkage and Variable Diffusion Coefficient , 2013 .

[90]  P. Perré,et al.  MECHANISM OF TWO-DIMENSIONAL HEAT AND MASS TRANSFER DURING CONVECTTVE DRYING OF POROUS MXDIA UNDER DIFFERENT DRYING CONDITIONS , 2000 .

[91]  T. R. Rumsey,et al.  Predictive modeling of contact-heating process for cooking a hamburger patty , 2000 .

[92]  N. E. Bengtsson,et al.  COOKING OF BEEF BY OVEN ROASTING: A STUDY OF HEAT AND MASS TRANSFER , 1976 .

[93]  P. Ateba,et al.  Modelling the deep‐fat frying of beef meatballs , 2007 .

[94]  D. Pei,et al.  A mathematical model of drying processes , 1989 .

[95]  Ashim K. Datta,et al.  Some Considerations in Modeling of Moisture Transport in Heating of Hygroscopic Materials , 2004 .

[96]  N. N. Mohsenin,et al.  Thermal Properties of Food and Agricultural Materials , 1980 .

[97]  Ashim K. Datta,et al.  Surface heat and mass transfer coefficients for multiphase porous media transport models with rapid evaporation , 2012 .

[98]  Sakamon Devahastin,et al.  Determination of deformation of a food product undergoing different drying methods and conditions via evolution of a shape factor , 2007 .

[99]  R. Moreira,et al.  Modeling the transport phenomena and structural changes during deep fat frying: Part I: model development , 2002 .

[100]  W. R. Gardner.  Physics of Flow through Porous Media , 1961 .

[101]  Frédéric Prothon,et al.  Mechanisms and Prevention of Plant Tissue Collapse during Dehydration: A Critical Review , 2003, Critical reviews in food science and nutrition.

[102]  Cezar A. da Rosa,et al.  Diffusive model with variable effective diffusivity considering shrinkage in thin layer drying of chitosan , 2007 .

[103]  Thermal properties of potatoes and a computer simulation model of a blanching process , 1986 .

[104]  J. Giddings,et al.  NEW METHOD FOR PREDICTION OF BINARY GAS-PHASE DIFFUSION COEFFICIENTS , 1966 .

[105]  R. de Boer,et al.  Multiphase flow in a capillary porous medium , 2003 .

[106]  Mohammad Shafiur Rahman,et al.  An improved thermal conductivity prediction model for fruits and vegetables as a function of temperature, water content and porosity , 1997 .

[107]  R. Moreira,et al.  SHRINKAGE OF APPLE DISKS DURING DRYING BY WARM AIR CONVECTION AND FREEZE DRYING , 2000 .

[108]  Enrique Rotstein,et al.  Prediction of Thermal Conductivity of Vegetable Foods by the Effective Medium Theory , 1986 .

[109]  S. B. Nasrallah,et al.  Two Dimensional Heat and Mass Transfer During Convective Drying of Porous Media , 1995 .

[110]  I. Sam Saguy,et al.  New approach to model rehydration of dry food particulates utilizing principles of liquid transport in porous media , 2005 .

[111]  P. Mallikarjunan,et al.  Modeling of heat transfer and evaporative mass losses during the cooking of beef patties using far-infrared radiation , 2002 .

[112]  A. Datta,et al.  Mechanistic understanding of case-hardening and texture development during drying of food materials , 2015 .

[113]  Tommy Nylander,et al.  Analytical approach for the Lucas-Washburn equation. , 2002, Journal of colloid and interface science.

[114]  Azharul Karim,et al.  Drying characteristics of banana: theoretical modelling and experimental validation , 2005 .

[115]  Yoshinori Itaya,et al.  Three-dimensional heat and moisture transfer with viscoelastic strain-stress formation in composite food during drying , 1995 .

[116]  Sandro M. Goñi,et al.  Prediction of cooking times and weight losses during meat roasting , 2010 .

[117]  V. V. Krotov,et al.  Physicochemical Hydrodynamics of Capillary Systems , 1999 .

[118]  Ashim K. Datta,et al.  Modeling Transport in Porous Media With Phase Change: Applications to Food Processing , 2011 .

[119]  Chandan Kumar,et al.  Food structure: Its formation and relationships with other properties , 2017, Critical reviews in food science and nutrition.

[120]  Ashim K. Datta,et al.  Modeling of Multiphase Transport during Drying of Honeycomb Ceramic Substrates , 2012 .

[121]  Kambiz Vafai,et al.  The role of porous media in modeling flow and heat transfer in biological tissues , 2003 .

[122]  Yonghee Choi.  Food thermal property prediction as effected by temperature and composition , 1985 .

[123]  Jorge E. Lozano,et al.  THERMAL CONDUCTIVITY OF APPLES AS A FUNCTION OF MOISTURE CONTENT , 1979 .

[124]  Azharul Karim,et al.  Porosity: Establishing the Relationship between Drying Parameters and Dried Food Quality , 2016 .