A Multiphase Model to Analyze Transport Phenomena in Food Drying Processes

The aim of the present work is the development of a theoretical model describing the transport phenomena involved in food drying. A fundamental multiphase approach was utilized to account for the simultaneous presence of both liquid water and vapor within the sample undergoing drying. The transport equations referred to the food were coupled, by a proper set of boundary conditions, to momentum and heat and mass transfer equations referred to the drying air, thus obtaining a general model that did not rely on the specification of any heat and mass transfer coefficient at the food/air interfaces.

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

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

[3]  D. J. M. Sartori,et al.  Fluid Flow Effect and Mechanical Interactions during Drying of a Deformable Food Model , 2007 .

[4]  Gianpaolo Ruocco,et al.  Combined microwaves and convection heating: A conjugate approach , 2010 .

[5]  P. Tsilingiris Thermophysical and transport properties of humid air at temperature range between 0 and 100 °C , 2008 .

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

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

[8]  Arun S. Mujumdar,et al.  Physical Interpretation of Solids Drying: An Overview on Mathematical Modeling Research , 2007 .

[9]  Hans Janestad,et al.  A model for simultaneous heat, water and vapour diffusion , 1999 .

[10]  THERMAL CONDUCTIVITY PREDICTION FOR FOODSTUFFS: EFFECT OF MOISTURE CONTENT AND TEMPERATURE , 2002 .

[11]  D. Wilcox Turbulence modeling for CFD , 1993 .

[12]  E. Rotstein,et al.  A New Water Sorption Equilibrium Expression for Solid Foods based on Thermodynamic Considerations , 1989 .

[13]  J. G. Brennan,et al.  A Mathematical Model of Simultaneous Heat and Moisture Transfer during Drying of Potato , 1995 .

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

[15]  Michel Havet,et al.  Conjugate Heat and Moisture Transfer During a Dynamic Thermal Treatment of Food , 2007 .

[16]  Ralf Hartmann,et al.  A discontinuous Galerkin method for inviscid low Mach number flows , 2009, J. Comput. Phys..

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

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

[19]  Z. Pakowski,et al.  The Comparison of Two Models of Convective Drying of Shrinking Materials Using Apple Tissue as an Example , 2007 .

[20]  X. Chen Moisture Diffusivity in Food and Biological Materials , 2007 .

[21]  Chung Lim Law,et al.  Thin-Layer Drying Characteristics and Quality Evaluation of Air-Dried Ganoderma Tsugae Murrill , 2009 .

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

[23]  A. S. Mujumdar,et al.  A Study of Coupled Heat and Mass Transfer in Composite Food Products during Convective Drying , 2007 .

[24]  Josse De Baerdemaeker,et al.  The local surface heat transfer coefficient in thermal food process calculations: A CFD approach , 1997 .

[25]  Georg Bader,et al.  The influence of cell geometry on the accuracy of upwind schemes in the low mach number regime , 2009, J. Comput. Phys..

[26]  José Bon,et al.  Mathematical Modeling of Drying Kinetics for Apricots: Influence of the External Resistance to Mass Transfer , 2007 .

[27]  P. E. Viollaz,et al.  A drying model for three-dimensional shrinking bodies , 2002 .

[28]  Alain Kondjoyan,et al.  Comparison of calculated and experimental heat transfer coefficients at the surface of circular cylinders placed in a turbulent cross-flow of air , 1997 .

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

[30]  Don W. Green,et al.  Perry's Chemical Engineers' Handbook , 2007 .