Recent developments in numerical modelling of heating and cooling processes in the food industry—a review

Abstract Numerical modelling technology offers an efficient and powerful tool for simulating the heating/cooling processes in the food industry. The use of numerical methods such as finite difference, finite element and finite volume analysis to describe the heating/cooling processes in the food industry has produced a large number of models. However, the accuracy of numerical models can further be improved by more information about the surface heat and mass transfer coefficients, food properties, volume change during processes and sensitivity analysis for justifying the acceptability of assumptions in modelling. More research should also be stressed on incorporation of numerical heat and mass transfer models with other models for directly evaluating the safety and quality of a food product during heating/cooling processes. It is expected that more research will be carried out on the heat and mass transfer through porous foods, microwave heating and turbulence flow in heating/cooling processes.

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

[2]  Caroline M. McFarlane,et al.  The growth of Escherichia coli in a food simulant during conduction cooling : combining engineering and microbiological modelling , 2000 .

[3]  Murat O. Balaban,et al.  Modeling of heat conduction in elliptical cross section: I. Development and testing of the model , 1998 .

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

[5]  Weeratunge Malalasekera,et al.  An introduction to computational fluid dynamics - the finite volume method , 2007 .

[6]  P. Fryer,et al.  A model for conduction heat transfer to particles in a hold tube using a moving mesh finite element method , 1995 .

[7]  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 .

[8]  Ashim K. Datta,et al.  Infrared and hot-air-assisted microwave heating of foods for control of surface moisture , 2002 .

[9]  Savvas A. Tassou,et al.  Modelling the environment within a wet air-cooled vegetable store , 1998 .

[10]  Dean Burfoot,et al.  Simulating the bulk storage of foodstuffs , 1999 .

[11]  S. Sastry,et al.  The determination of convective heat transfer coefficient during frying , 1999 .

[12]  Da-Wen Sun,et al.  CFD predicting the effects of various parameters on core temperature and weight loss profiles of cooked meat during vacuum cooling , 2002 .

[13]  P. Verboven,et al.  Numerical analysis of the propagation of random parameter fluctuations in time and space during thermal food processes , 1998 .

[14]  P. Verboven,et al.  Propagation of stochastic temperature fluctuations in refrigerated fruits , 1999 .

[15]  Da-Wen Sun,et al.  Applications of computational fluid dynamics (cfd) in the food industry: a review , 2002 .

[16]  Jorge C. Oliveira,et al.  Determination of the heat transfer coefficient between bulk medium and packed containers in a batch retort , 2000 .

[17]  Da-Wen Sun,et al.  CFD simulation of coupled heat and mass transfer through porous foods during vacuum cooling process , 2003 .

[18]  Chongwen Cao,et al.  MATHEMATICAL SIMULATION OF STRESSES WITHIN A CORN KERNEL DURING DRYING , 2000 .

[19]  F. Stasa Applied finite element analysis for engineers , 1985 .

[20]  R. Hartel,et al.  Three-dimensional model of phase transition of thin sucrose films during drying. , 2000 .

[21]  Pierre-Sylvain Mirade,et al.  Assessment of airflow patterns inside six industrial beef carcass chillers , 2001 .

[22]  P. S. Mirade,et al.  A NUMERICAL STUDY OF THE AIRFLOW PATTERNS IN A SAUSAGE DRYER , 2000 .

[23]  Prabir K. Chandra,et al.  Applied Numerical Methods for Food and Agricultural Engineers , 1994 .

[24]  Da-Wen Sun,et al.  Effect of fluctuation in inlet airflow temperature on CFD simulation of air-blast chilling process , 2001 .

[25]  F. A. Ansari Finite difference solution of heat and mass transfer problems related to precooling of food , 1999 .

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

[27]  Pedro D. Sanz,et al.  Characterising the detachment of thermal and geometric centres in a parallelepipedic frozen food subjected to a fluctuation in storage temperature , 1996 .

[28]  David F. Fletcher,et al.  Spray drying of food ingredients and applications of CFD in spray drying , 2001 .

[29]  M. Balaban Effect of volume change in foods on the temperature and moisture content predictions of simultaneous heat and moisture transfer models , 1990 .

[30]  Ashim K. Datta,et al.  Electromagnetics, heat transfer, and thermokinetics in microwave sterilization , 2001 .

[31]  Gauri S. Mittal,et al.  Heat and mass transfer during beef carcass chilling — Modelling and simulation , 1994 .

[32]  P. Verboven,et al.  STOCHASTIC PERTURBATION ANALYSIS OF THERMAL FOOD PROCESSES WITH RANDOM FIELD PARAMETERS , 2000 .

[33]  Rabi H. Mohtar,et al.  PREDICTING the COOLING TIME FOR IRREGULAR SHAPED FOOD PRODUCTS , 1996 .

[34]  Da-Wen Sun,et al.  Predicting local surface heat transfer coefficients by different turbulent k-ϵ models to simulate heat and moisture transfer during air-blast chilling , 2001 .

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

[36]  K. Ayappa,et al.  Microwave heating: an evaluation of power formulations , 1991 .

[37]  M. Farid,et al.  Thermal sterilization of canned food in a 3-D pouch using computational fluid dynamics , 2001 .

[38]  A. M. Foster,et al.  Modelling the pasteurisation of prepared meals with microwaves at 896 MHz , 1996 .

[39]  Pierre-Sylvain Mirade,et al.  Three-dimensional CFD calculations for designing large food chillers , 2002 .

[40]  V. M. Puri,et al.  The finite-element method in food processing: A review , 1993 .

[41]  Da-Wen Sun,et al.  NUMERICAL ANALYSIS OF THE THREE–DIMENSIONAL MASS AND HEAT TRANSFER WITH INNER MOISTURE EVAPORATION IN POROUS COOKED MEAT JOINTS DURING VACUUM COOLING , 2003 .

[42]  Judith Evans,et al.  Chilling of recipe dish meals to meet cook chill guidelines , 1996 .

[43]  Da-Wen Sun,et al.  Modelling vacuum cooling process of cooked meat—part 2: mass and heat transfer of cooked meat under vacuum pressure , 2002 .

[44]  Carmen Rosselló,et al.  Dehydration of aloe vera: simulation of drying curves and evaluation of functional properties , 2000 .

[45]  Bart Nicolai,et al.  Sensitivity of the food centre temperature with respect to the air velocity and the turbulence kinetic energy , 2001 .

[46]  H. S. Ramaswamy,et al.  Thermal process simulations for sous vide processing of fish and meat foods , 1995 .

[47]  C. Suárez,et al.  Drying of foods: Evaluation of a drying model , 1995 .

[48]  M. Manzan,et al.  CFD simulation of refrigerated display cabinets , 2001 .

[49]  V. M. Puri,et al.  Finite element analysis of microwave heating of solid foods , 1995 .

[50]  Chongwen Cao,et al.  Mathematical simulation of temperature fields in a stored grain bin due to internal heat generation , 2000 .

[51]  Peter J. Fryer,et al.  Optimising the quality of safe food: Computational modelling of a continuous sterilisation process , 1999 .

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

[53]  Da-Wen Sun,et al.  Modelling three conventional cooling processes of cooked meat by finite element method , 2002 .

[54]  A K Datta,et al.  Coupled Electromagnetic and Termal Modeling of Microwave Oven Heating of Foods , 2000, The Journal of microwave power and electromagnetic energy : a publication of the International Microwave Power Institute.

[55]  B. Nicolai,et al.  A variance propagation algorithm for the computation of heat conduction under stochastic conditions , 1999 .

[56]  Murat O. Balaban,et al.  MATHEMATICAL MODEL TO PREDICT YIELD LOSS OF MEDIUM AND LARGE TIGER SHRIMP (PENAEUS MONODON) DURING COOKING , 1999 .

[57]  Chongwen Cao,et al.  MATHEMATICAL SIMULATION OF TEMPERATURE AND MOISTURE FIELDS WITHIN A GRAIN KERNEL DURING DRYING , 2000 .

[58]  Singiresu S. Rao The finite element method in engineering , 1982 .

[59]  Peter J. Fryer,et al.  Modelling temperature distributions in cooling chocolate moulds , 2000 .

[60]  B. Nicolai,et al.  Sensitivity analysis with respect to the surface heat transfer coefficient as applied to thermal process calculations , 1996 .

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

[62]  Da-Wen Sun,et al.  CFD evaluating the influence of airflow on the thermocouple-measured temperature data during air-blasting chilling , 2002 .

[63]  J. Bruce Litchfield,et al.  Determination of convective heat transfer coefficients using 2D MRI temperature mapping and finite element modeling , 1997 .

[64]  Julio A. Luna,et al.  A mathematical model to describe potato chemical (NaOH) peeling. Energy and mass transfer model resolution , 1997 .

[65]  Q. Pham,et al.  Predicting the dynamic product heat load and weight loss during beef chilling using a multi-region finite difference approach , 1997 .

[66]  T. R. Dutson,et al.  Modeling Beef Carcass Cooling Using a Finite Element Technique , 1983 .

[67]  Guoping Lian,et al.  Coupled Heat and Moisture Transfer During Microwave Vacuum Drying , 1997 .

[68]  Da-Wen Sun,et al.  Evaluation of performance of slow air, air blast and water immersion cooling methods in the cooked meat industry by the finite element method , 2002 .

[69]  V. E. Sweat Thermal conductivity of food: present state of the data , 1985 .

[70]  K. Luyben,et al.  Drying of food materials: a review of recent developments , 1978 .

[71]  S. Akterian Numerical simulation of unsteady heat transfer in canned mushrooms in brine during sterilization processes , 1995 .

[72]  Martin R. Okos,et al.  Effects of microwave on the drying, checking and mechanical strength of baked biscuits , 2001 .

[73]  Dean Burfoot,et al.  Predicting condensation in bulks of foodstuffs , 1999 .

[74]  Peter Richards,et al.  Numerical simulation of natural convection heating of canned food by computational fluid dynamics , 1999 .

[75]  A. C Cleland,et al.  Prediction of chilling times of foods in situations where evaporative cooling is significant—Part 1. Method development , 1998 .

[76]  Chantal Smout,et al.  Modelling temperature variability in batch retorts and its impact on lethality distribution , 2000 .

[77]  V. M. Puri,et al.  SIZE AND SHAPE EFFECT ON NONUNIFORMITY OF TEMPERATURE AND MOISTURE DISTRIBUTIONS IN MICROWAVE HEATED FOOD MATERIALS: PART I SIMULATION , 1998 .

[78]  Chongwen Cao,et al.  Finite element prediction of transient temperature distribution in a grain storage bin. , 2000 .

[79]  J. Straatsma,et al.  Spray drying of food products: 1. Simulation model , 1999 .

[80]  M. A. Rao,et al.  Transient natural convection heat transfer to starch dispersion in a cylindrical container: Numerical solution and experiment , 1998 .

[81]  Q. Pham,et al.  Geometry, cooling rates and weight losses during pig chilling , 1995 .

[82]  Numerical model for the combined simulation of heat transfer and enzyme inactivation kinetics in cylindrical vegetables. , 2001 .

[83]  Jia,et al.  Computer simulation of temperature changes in a wheat storage bin. , 2001, Journal of stored products research.

[84]  Da-Wen Sun,et al.  Modelling vacuum cooling process of cooked meat: part 1: analysis of vacuum cooling system , 2002 .

[85]  Vassilis Belessiotis,et al.  Simulation of air movement in a dryer by computational fluid dynamics : Application for the drying of fruits , 1998 .

[86]  Edward Kolbe,et al.  Computer Simulation on Onboard Chilling and Freezing of Albacore Tuna , 1998 .

[87]  Giovanni Cortella,et al.  cfd-aided retail cabinets design , 2002 .

[88]  Gordon Scott,et al.  The application of computational fluid dynamics in the food industry , 1997 .

[89]  Onorio Saro,et al.  Finite element analysis of coupled conduction and convection in refrigerated transport , 1995 .

[90]  Josse De Baerdemaeker,et al.  Computational fluid dynamics modelling and validation of the temperature distribution in a forced convection oven , 2000 .

[91]  Jorge C. Oliveira,et al.  Influence of the variability of processing factors on the F-value distribution in batch retorts , 2000 .

[92]  A. C Cleland,et al.  Prediction of chilling times of foods in situations where evaporative cooling is significant : Part 2. Experimental testing , 1998 .

[93]  Guohua Chen,et al.  Heat and mass transfer during low intensity convection drying , 1999 .

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

[95]  Henry P. Fleming,et al.  Heat transfer characteristics of cucumbers during blanching , 2001 .

[96]  M. V. Krishna Murthy,et al.  Forced-air precooling of spherical foods in bulk: A parametric study , 1997 .

[97]  Khe V. Chau,et al.  A Finite‐Difference Model for Heat and Mass Transfer in Products with Internal Heat Generation and Transpiration , 1990 .

[98]  M. Farid,et al.  An investigation of deactivation of bacteria in a canned liquid food during sterilization using computational fluid dynamics (CFD) , 1999 .

[99]  Josse De Baerdemaeker,et al.  Computational fluid dynamics modelling and validation of the isothermal airflow in a forced convection oven , 2000 .

[100]  B. Marks,et al.  Modeling coupled heat and mass transfer for convection cooking of chicken patties , 1999 .

[101]  Bart Nicolai,et al.  Optimal experimental design for the parameter estimation of conduction heated foods , 2001 .

[102]  Da-Wen Sun,et al.  Modelling three-dimensional transient heat transfer of roasted meat during air blast cooling by the finite element method , 2002 .

[103]  Laura A. Ramallo,et al.  Simultaneous determination of specific heat capacity and thermal conductivity using the finite-difference method , 1997 .

[104]  R. Anantheswaran,et al.  SIZE AND SHAPE EFFECT ON NONUNIFORMITY OF TEMPERATURE AND MOISTURE DISTRIBUTIONS IN MICROWAVE HEATED FOOD MATERIALS: PART II EXPERIMENTAL VALIDATION , 1998 .

[105]  A. C Cleland,et al.  Prediction of chilling times of foods in situations where evaporative cooling is significant—Part 3. Applications , 1998 .

[106]  Nicholas P. Cheremisinoff,et al.  Handbook of heat and mass transfer , 1986 .

[107]  Timothy A. Haley,et al.  Advanced process control techniques for the food industry , 1995 .

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

[109]  Murat O. Balaban,et al.  Modeling of heat conduction in elliptical cross section: II. Adaptation to thermal processing of shrimp , 1998 .

[110]  A. M. Foster,et al.  Measurement and prediction of air movement through doorways in refrigerated rooms , 2002 .

[111]  Arun S. Mujumdar,et al.  Advances in drying , 1980 .

[112]  Da-Wen Sun,et al.  CFD simulation of heat and moisture transfer for predicting cooling rate and weight loss of cooked ham during air-blast chilling process , 2000 .