Food Engineering Reviews

, Volume 5, Issue 2, pp 57–76

Heat and Mass Transfer Modeling for Microbial Food Safety Applications in the Meat Industry: A Review

  • J. F. Cepeda
  • C. L. Weller
  • M. Negahban
  • J. Subbiah
  • H. Thippareddi
Review Article

Abstract

Temperature is an important factor affecting microbial growth in meat products, and hence the most controlled and monitored parameter for food safety in the meat industry. In the last few decades, modeling of heat and mass transfer in products has gained special attention in the meat industry as it can be integrated with predictive microbial models, and eventually with risk assessment models. Thus, heat and mass transfer models can be used as practical tools to assess microbial safety of meat products quantitatively, especially in the event of unexpected processing issues such as thermal processing deviations. This manuscript reviews research efforts related to heat and mass transfer modeling in meat products that have been published in recent years. It synthesizes the main ideas behind modeling of thermal processing in the meat industry encompassing common considerations and techniques. This review specially emphasizes in research efforts that have been oriented to industrial applications, and can be potentially integrated with food safety tools. Literature indicates that despite great advances in the field, there are several challenges that persist and the scientific community must address them to develop models applicable to the meat industry.

Keywords

Meat processing Meat cooling Finite elements Numerical analysis Food safety Computer modeling Predictive microbiology Meat safety 

References

  1. 1.
    Amézquita A, Wang L, Weller CL (2005) Finite element modeling and experimental validation of cooling rates of large ready-to-eat meat products in small meat-processing facilities. Trans ASAE 48:287–303Google Scholar
  2. 2.
    Amézquita A, Weller CL, Wang L, Thippareddi H, Burson DE (2005) Development of an integrated model for heat transfer and dynamic growth of Clostridium perfringens during the cooling of cooked boneless ham. Int J Food Microbiol 101:123–144CrossRefGoogle Scholar
  3. 3.
    Andarwa S, Basirat Tabrizi H (2010) Non-Fourier effect in the presence of coupled heat and moisture transfer. Int J Heat Mass Transf 53:3080–3087CrossRefGoogle Scholar
  4. 4.
    Antaki P (2005) New interpretation of non-Fourier heat conduction in processed meat. J Heat Transf 127:189–194CrossRefGoogle Scholar
  5. 5.
    Billerbeck F, Shoemaker K (1971) Process for preparing ready-to-eat meat products. 04/666003Google Scholar
  6. 6.
    Braeckman L, Ronsse F, Pieters J (2007) Modelling heat and mass transfer during the industrial processing of meat products. Commun Agric Appl Biol Sci 72:109–113Google Scholar
  7. 7.
    Califano AN, Calvelo A (1980) Weight loss prediction during meat chilling. Meat Sci 5:5–15CrossRefGoogle Scholar
  8. 8.
    Churchill SW (1977) A comprehensive correlating equation for laminar, assisting, forced and free convection. AIChE J 23:10–16Google Scholar
  9. 9.
    Comaposada J, Gou P, Arnau J (2000) The effect of sodium chloride content and temperature on pork meat isotherms. Meat Sci 55:291–295CrossRefGoogle Scholar
  10. 10.
    Carson JK, Willix J, North MF (2006) Measurements of heat transfer coefficients within convection ovens. J Food Eng 72:293–301CrossRefGoogle Scholar
  11. 11.
    Cepeda JF, Weller C, Negahban M, Thippareddi H, Subbiah J (2011) Modeling heat transfer during cooling of cooked ready-to-eat meats using three-dimensional finite element analysis. ASABE Paper No. 1111569 St. Joseph, MichGoogle Scholar
  12. 12.
    Cepeda JF, Weller C, Thippareddi H, Negahban M, Subbiah J (2013) Modeling cooling of ready-to-eat meats by 3D finite element analysis: validation in meat processing facilities. J Food Eng 116(2):450–461CrossRefGoogle Scholar
  13. 13.
    Choi Y, Okos M (1986) Effects of temperature and composition on the thermal properties of foods. In: Le Maguer M, Jelen P (eds) Food engineering and process applications. Elsevier, LondonGoogle Scholar
  14. 14.
    Chuntranuluck S, Wells CM, Cleland AC (1998) Prediction of chilling times of foods in situations where evaporative cooling is significant—Part 1. Method development. J Food Eng 37:111–125CrossRefGoogle Scholar
  15. 15.
    Chuntranuluck S, Wells CM, Cleland AC (1998) Prediction of chilling times of foods in situations where evaporative cooling is significant—Part 3. Applications. J Food Eng 37:143–157CrossRefGoogle Scholar
  16. 16.
    Chuntranuluck S, Wells CM, Cleland AC (1998) Prediction of chilling times of foods in situations where evaporative cooling is significant—Part 2. Experimental testing. J Food Eng 37:127–141CrossRefGoogle Scholar
  17. 17.
    Datta AK (2007) Porous media approaches to studying simultaneous heat and mass transfer in food processes. I: problem formulations. J Food Eng 80:80–95CrossRefGoogle Scholar
  18. 18.
    Datta AK (2007) Porous media approaches to studying simultaneous heat and mass transfer in food processes. II: property data and representative results. J Food Eng 80:96–110CrossRefGoogle Scholar
  19. 19.
    Daudin JD, Swain MVL (1990) Heat and mass transfer in chilling and storage of meat. J Food Eng 12:95–115CrossRefGoogle Scholar
  20. 20.
    Davey LM, Pham QT (2000) A multi-layered two-dimensional finite element model to calculate dynamic product heat load and weight loss during beef chilling. Int J Refrig 23:444–456CrossRefGoogle Scholar
  21. 21.
    Davey LM, Pham QT (1997) Predicting the dynamic product heat load and weight loss during beef chilling using a multi-region finite difference approach. Int J Refrig 20:470–482CrossRefGoogle Scholar
  22. 22.
    Delgado AE, Sun D (2001) Heat and mass transfer models for predicting freezing processes—a review. J Food Eng 47:157–174CrossRefGoogle Scholar
  23. 23.
    Delgado AE, Sun D (2003) Convective heat transfer coefficients. In: Encyclopedia of agricultural, food, and biological engineering. Taylor & Francis, pp 156–158Google Scholar
  24. 24.
    Dhall A, Halder A, Datta AK (2012) Multiphase and multicomponent transport with phase change during meat cooking. J Food Eng 113:299–309CrossRefGoogle Scholar
  25. 25.
    Elansari A, Hobani A (2009) Effect of temperature and moisture content on thermal conductivity of four types of meat. Int J Food Prop 12:308–315CrossRefGoogle Scholar
  26. 26.
    Fowler AJ, Bejan A (1991) The effect of shrinkage on the cooking of meat. Int J Heat Fluid Flow 12:375–383CrossRefGoogle Scholar
  27. 27.
    Geankoplis CJ (2003) Transport processes and separation process principles: (includes unit operations), 4th edn. Prentice Hall, NJGoogle Scholar
  28. 28.
    Gil MM, Pereira PM, Brandão TRS, Silva CLM, Kondjoyan A, Valdramidis VP, Geeraerd AH, Van Impe JFM, James S (2006) Integrated approach on heat transfer and inactivation kinetics of microorganisms on the surface of foods during heat treatments—software development. J Food Eng 76:95–103CrossRefGoogle Scholar
  29. 29.
    Goñi SM, Salvadori VO (2012) Model-based multi-objective optimization of beef roasting. J Food Eng 111:92–101CrossRefGoogle Scholar
  30. 30.
    Goñi SM, Salvadori VO (2010) Prediction of cooking times and weight losses during meat roasting. J Food Eng 100:1–11CrossRefGoogle Scholar
  31. 31.
    Halder A, Dhall A, Datta AK, Black DG, Davidson PM, Li J, Zivanovic S (2011) A user-friendly general-purpose predictive software package for food safety. J Food Eng 104:173–185Google Scholar
  32. 32.
    Herbert LS, Lovett DA, Radford RD (1978) Evaporative weight loss during meat chilling. Food Technol Aust 30:145–149Google Scholar
  33. 33.
    Herwig H, Beckert K (2000) Experimental evidence about the controversy concerning Fourier or non-Fourier heat conduction in materials with a nonhomogeneous inner structure. Heat Mass Transf 36:387–392CrossRefGoogle Scholar
  34. 34.
    Herwig H, Beckert K (2000) Fourier versus non-Fourier heat conduction in materials with a non-homogeneous inner structure. J Heat Transf 122:363–365CrossRefGoogle Scholar
  35. 35.
    Hu Z, Sun D (2000) CFD simulation of heat and moisture transfer for predicting cooling rate and weight loss of cooked ham during air-blast chilling process. J Food Eng 46:189–197CrossRefGoogle Scholar
  36. 36.
    Huang L, Sheen S (2011) Cooling of cooked ready-to-eat meats and computer simulation. In: Hwang A, Huang L (eds) Microbial concerns and control measures, 1st edn. CRC Press, Boca RatonGoogle Scholar
  37. 37.
    Kays W, Crawford M, Weigand B (2005) Convective heat and mass transfer. McGraw-Hill Higher Education, BostonGoogle Scholar
  38. 38.
    Knipe C (2010) Thermal processing of ready-to-eat meat products. Wiley-Blackwell, AmesGoogle Scholar
  39. 39.
    Kondjoyan A, Boisson HC (1997) Comparison of calculated and experimental heat transfer coefficients at the surface of circular cylinders placed in a turbulent cross-flow of air. J Food Eng 34:123–143CrossRefGoogle Scholar
  40. 40.
    Kondjoyan A, Daudin JD (1997) Heat and mass transfer coefficients at the surface of a pork hindquarter. J Food Eng 32:225–240CrossRefGoogle Scholar
  41. 41.
    Kuffi K, Defraeye D, Koninckx T, Lescouhier E, Nicolai S, Smet B, Geeraerd S, Verboven A, Pieter V (2012) CFD Modeling of air cooling of multiple beef carcasses using 3D geometrical models. In International conference of agricultural engineering CIGR-AgEng 2012, Valencia Conference CenterGoogle Scholar
  42. 42.
    Kuitche A, Daudin JD, Letang G (1996) Modelling of temperature and weight loss kinetics during meat chilling for time-variable conditions using an analytical-based method—I. The model and its sensitivity to certain parameters. J Food Eng 28:55–84CrossRefGoogle Scholar
  43. 43.
    Lebert I, Lebert A (2006) Quantitative prediction of microbial behaviour during food processing using an integrated modelling approach: a review. Int J Refrig 29:968–984CrossRefGoogle Scholar
  44. 44.
    McDonald K, Sun D (1999) Predictive food microbiology for the meat industry: a review. Int J Food Microbiol 52:1–27CrossRefGoogle Scholar
  45. 45.
    Magnussen OM, Haugland A, Torstveit Hemmingsen AK, Johansen S, Nordtvedt TS (2008) Advances in superchilling of food—process characteristics and product quality. Trends Food Sci Technol 19:418–424CrossRefGoogle Scholar
  46. 46.
    Mallikarjunan P, Mittal GS (1994) Heat and mass transfer during beef carcass chilling—modelling and simulation. J Food Eng 23:277–292CrossRefGoogle Scholar
  47. 47.
    Marcotte M, Chen CR, Grabowski S, Ramaswamy HS, Piette J-G (2008) Modelling of cooking-cooling processes for meat and poultry products. Int J Food Sci Tech 43:673–684CrossRefGoogle Scholar
  48. 48.
    Marcotte M, Taherian AR, Karimi Y (2008) Thermophysical properties of processed meat and poultry products. J Food Eng 88:315–322CrossRefGoogle Scholar
  49. 49.
    Mishraa S, Pavan K, Bittagopal M (2008) Lattice Boltzmann method applied to the solution of energy equation of a radiation and non-Fourier heat conduction problem. Numer Heat Transf 54:798–818CrossRefGoogle Scholar
  50. 50.
    Mitra K, Kumar S, Vedevarz A, Moallemi MK (1995) Experimental evidence of hyperbolic heat conduction in processed meat. J Heat Transf 117:568–574CrossRefGoogle Scholar
  51. 51.
    Ngadi MO, Hwang D (2007) Modelling heat transfer and heterocyclic amines formation in meat patties during frying. Agricultural Engineering International: the CIGR Ejournal. Manuscript BC 04 004. Vol. IXGoogle Scholar
  52. 52.
    Olson L, Negahban M (2007) Introduction to finite element methods. University of Nebraska-Lincoln Bookstore, NebraskaGoogle Scholar
  53. 53.
    Page JL, Chevarin C, Kondjoyan A, Daudin J, Mirade P (2009) Development of an approximate empirical-CFD model estimating coupled heat and water transfers of stacked food products placed in airflow. J Food Eng 92:208–216CrossRefGoogle Scholar
  54. 54.
    Pan Z, Paul Singh R (2001) Physical and thermal properties of ground beef during cooking. Lebensmittel-Wissenschaft und-Technologie 34:437–444CrossRefGoogle Scholar
  55. 52.
    Pham QT (2002) Calculation of processing time and heat load during food refrigeration. In: “Food for Thought - Cool” AIRAH Conference. 24 May, 2002, Darling Harbour, Sydney, AustraliaGoogle Scholar
  56. 56.
    Pham QT, Lowry PD, Fleming AK, Willix J, Fitzgerald C (1994) Temperatures and microbial growth in meat blocks undergoing air thawing. Int J Refrig 17:281–287CrossRefGoogle Scholar
  57. 57.
    Pham QT, Trujillo FJ, McPhail N (2009) Finite element model for beef chilling using CFD-generated heat transfer coefficients. Int J Refrig 32:102–113CrossRefGoogle Scholar
  58. 58.
    Pradhan AK, Li Y, Marcy JA, Johnson MG, Tamplin ML (2007) Pathogen kinetics and heat and mass transfer-based predictive model for Listeria innocua in irregular-shaped poultry products during thermal processing. J Food Protect 70:607–615Google Scholar
  59. 59.
    Rahman S (2009) Food properties handbook. CRC Press, Boca RatonCrossRefGoogle Scholar
  60. 60.
    Rich N, Rich M (1981) Ready-to-eat molded meat product. U. S. Patent 4287218Google Scholar
  61. 61.
    Rinaldi M, Chiavaro E, Gozzi E, Massini R (2011) Simulation and experimental validation of simultaneous heat and mass transfer for cooking process of Mortadella Bologna PGI. Int J Food Sci Tech 46:586–593CrossRefGoogle Scholar
  62. 62.
    Ryland K, Wang L, Amézquita A, Weller CL (2006) Estimation of heat transfer coefficients of cooked boneless ham. RURALS 1:1–19Google Scholar
  63. 63.
    Santos MV, Zaritzky N, Califano A, Vampa V (2008) Numerical simulation of the heat transfer in three dimensional geometries. Mecánica Computacional XXVII:1705–1718Google Scholar
  64. 64.
    Santos MV, Zaritzky N, Califano A (2008) Modeling heat transfer and inactivation of Escherichia coli 0157:H7 in precooked meat products in Argentina using finite element method. Meat Sci 79:595–602CrossRefGoogle Scholar
  65. 65.
    Shen B, Zhang P (2008) Notable physical anomalies manifested in non-Fourier heat conduction under the dual-phase-lag model. Int J Heat Mass Transf 51:1713–1727CrossRefGoogle Scholar
  66. 66.
    Singh N, Akins RG, Erickson LE (1984) Modeling heat and mass transfer during the oven roasting of meat. J Food Process Eng 7:205–220CrossRefGoogle Scholar
  67. 67.
    Smith RE, Bennett AH, Vacinek AA (1971) Convection film coefficients related to geometry for anomalous shapes. Trans ASAE 14:44–47Google Scholar
  68. 68.
    Sprague MA, Colvin ME (2011) A mixture-enthalpy fixed-grid model for temperature evolution and heterocyclic-amine formation in a frying beef patty. Food Res Int 44:789–797CrossRefGoogle Scholar
  69. 69.
    Sun D (2012) Thermal food processing: new technologies and quality issues, 2nd edn. CRC Press, Boca RatonCrossRefGoogle Scholar
  70. 70.
    Sun D, Hu Z (2003) CFD simulation of coupled heat and mass transfer through porous foods during vacuum cooling process. Int J Refrig 26:19–27CrossRefGoogle Scholar
  71. 71.
    Sun D, Hu Z (2002) CFD predicting the effects of various parameters on core temperature and weight loss profiles of cooked meat during vacuum cooling. Comput Electron Agric 34:111–127CrossRefGoogle Scholar
  72. 72.
    Sun D, Wang L (2000) Heat transfer characteristics of cooked meats using different cooling methods. Int J Refrig 23:508–516CrossRefGoogle Scholar
  73. 73.
    Suryanarayana NV (1994) Engineering heat transfer. West Publishing, MinnesotaGoogle Scholar
  74. 74.
    Trujillo FJ, Pham QT (2007) CFD modeling of simultaneous heat and mass transfer in beef chilling. In: Sun DW (ed) Computational fluid dynamics in food processing. CRC Press, Boca raton, pp 195–221CrossRefGoogle Scholar
  75. 75.
    Trujillo FJ, Pham QT (2006) A computational fluid dynamic model of the heat and moisture transfer during beef chilling. Int J Refrig 29:998–1009CrossRefGoogle Scholar
  76. 76.
    Trujillo FJ, Wiangkaew C, Pham QT (2007) Drying modeling and water diffusivity in beef meat. J Food Eng 78:74–85CrossRefGoogle Scholar
  77. 77.
    USDA (1996) Pathogen reduction; hazard analysis and critical control point (HACCP) Systems; Final Rule. In: 9 CFR Part 304Google Scholar
  78. 78.
    USDA-FSIS (1999a) Compliance guidelines for cooling heat-treated meat and poultry products (Stabilization). In: Performance standards for the production of certain meat and poultry products. Final rule. Federal Register 64(3):732–749Google Scholar
  79. 79.
    van der Sman RGM (2012) Thermodynamics of meat proteins. Food Hydrocoll 27:529–535CrossRefGoogle Scholar
  80. 80.
    van der Sman RGM (2008) Prediction of enthalpy and thermal conductivity of frozen meat and fish products from composition data. J Food Eng 84:400–412CrossRefGoogle Scholar
  81. 81.
    van der Sman RGM (2007) Moisture transport during cooking of meat: an analysis based on Flory–Rehner theory. Meat Sci 76:730–738CrossRefGoogle Scholar
  82. 82.
    van der Sman RGM (2005) Predicting the initial freezing point and water activity of meat products from composition data. J Food Eng 66:469–475CrossRefGoogle Scholar
  83. 83.
    Wang L, Amézquita A, Weller CL (2006) A mathematical model for the validation of safe air-blast chilling of cooked hams. Trans ASABE 49:1437–1446Google Scholar
  84. 84.
    Wang L, Sun D (2003) Numerical analysis of the three-dimensional mass and heat transfer with inner moisture evaporation in porous cooked meat joints during vacuum cooling. Trans ASAE 46:107Google Scholar
  85. 85.
    Wang L, Sun D (2002) Modelling three-dimensional transient heat transfer of roasted meat during air blast cooling by the finite element method. J Food Eng 51:319–328CrossRefGoogle Scholar
  86. 86.
    Wang L, Sun D (2002) Evaluation of performance of slow air, air blast and water immersion cooling methods in the cooked meat industry by the finite element method. J Food Eng 51:329–340CrossRefGoogle Scholar
  87. 87.
    Wang L, Sun D (2002) Modelling three conventional cooling processes of cooked meat by finite element method. Int J Refrig 25:100–110CrossRefGoogle Scholar
  88. 88.
    Wang L, Sun D (2002) Modelling vacuum cooling process of cooked meat—part 2: mass and heat transfer of cooked meat under vacuum pressure. Int J Refrig 25:862–871CrossRefGoogle Scholar
  89. 89.
    Warning A, Dhall A, Mitrea D, Datta AK (2012) Porous media based model for deep-fat vacuum frying potato chips. J Food Eng 110:428–440CrossRefGoogle Scholar
  90. 90.
    Wiebe J, William R (1999) Process for preparing shaped meat products. U.S. Patent 5928690Google Scholar
  91. 91.
    Willix J, Harris MB, Carson JK (2006) Local surface heat transfer coefficients on a model beef side. J Food Eng 74:561–567CrossRefGoogle Scholar
  92. 92.
    Yovanovich MM (1987) On the effect of shape, aspect ratio and orientation upon natural convection from isothermal bodies of complex shape. In: ASME winter annual meeting. ASME, Boston, MA, pp 82–121Google Scholar
  93. 93.
    Yovanovich MM (1988) General expression for forced convection heat and mass transfer from isopotential spheroids. In AIAA 26th Aerospace Sciences Meeting. AIAA, Reno, NVGoogle Scholar
  94. 94.
    Zienkiewicz O (2005) The finite element method: its basics and fundamentals. Elsevier/Butterworth Heinemann, AmsterdamGoogle Scholar
  95. 95.
    Zuliani V, Lebert I, Lebert A (2004) Integrated modelling of food processing and bacterial behaviour. In: Recent research developments in microbiology, vol 8. Research Signpost, Kerala, India, pp 295–323Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • J. F. Cepeda
    • 1
    • 2
  • C. L. Weller
    • 1
    • 2
  • M. Negahban
    • 3
  • J. Subbiah
    • 1
    • 2
  • H. Thippareddi
    • 2
  1. 1.Department of Biological Systems EngineeringUniversity of Nebraska-LincolnLincolnUSA
  2. 2.Department of Food Science and TechnologyUniversity of Nebraska-LincolnLincolnUSA
  3. 3.Department of Mechanical and Materials EngineeringUniversity of Nebraska-LincolnLincolnUSA

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