A Critical Analysis of Mathematical Procedures for the Evaluation and Design of In-Container Thermal Processes for Foods

Critical Reviews in Food Science and Nutrition

Volumn 37, Issue 5, 1997, Pages 411-441

  Stoforos, Nikolaos G ^a   Noronha, João ^a   Hendrickx, Marc ^a   Tobback, Paul ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Canned foods; Heat sterilization; In container thermal process; Spoilage

Indexed keywords

FOOD HANDLING; FOOD PACKAGING; FOOD PRESERVATION; HEAT; MATHEMATICS; METHODOLOGY; REVIEW;

FOOD HANDLING; FOOD PACKAGING; FOOD PRESERVATION; HEAT; MATHEMATICS;

EID: 0031203179     PISSN: 10408398     EISSN: None     Source Type: Journal    
DOI: 10.1080/10408399709527782     Document Type: Article

References (167)

1. Bigelow, W. D., Bohart, G. S., Richardson, A. C., and Ball, C. O., Heat Penetration in Processing Canned Foods, Bull. No. 16-L, Res. Lab., Natl. Canners Assoc., Washington, D.C., 1920.
2. Ball, C. O., Thermal Process Time for Canned Food, Bulletin of the National Research Council No. 37, Vol. 7, Part 1, Natl. Res. Council, Washington, D.C., 1923.
3. Appert, N., 1810, L'art de conserver pendant plusieurs années toutes les substances animales et végétables. (Translated by K. G. Bitting, Chicago, IL, 1920.), in Introduction to Thermal Processing of Foods, Goldblith, S. A., Joslyn, M. A., and Nickerson, J. T. R., Eds., AVI, Westport, CT, 1961.
4. Goldblith, S. A., Joslyn, M. A., and Nickerson J. T. R., Eds., Introduction to Thermal Processing of Foods, AVI, Westport, CT, 1961.
5. Pflug, I. J. and Holcomb, M. S., Principles of thermal destruction of microorganisms, in Desinfection, Sterilization and Preservation, 2nd ed., Block, S. S., Ed., Lea & Febiger, Philadelphia PA, 1977, 933.
6. Lund, D. B., Heat processing, in Principles of Food Science. Part II. Physical Principles of Food Preservation, Karel, M., Fennema, O. R., and Lund D. B., Eds., Marcel Dekker, Inc., New York, 1975, 31.
7. Hendrickx, M., Maesmans, G., De Gordt, S., Noronha, J., Van Loey, A., and Tobback, P., Evaluation of the integrated time-temperature effect in thermal processing of foods, Crit. Rev. Food Sci. Nutr., 35(3), 231, 1995.
8. Hayakawa, K., A critical review of mathematical procedures for determining proper heat sterilization processes, Food Technol., 32(3), 59, 1978.
9. Cleland, A. C. and Robertson, G. L., Determination of thermal processes to ensure commercial sterility of foods in cans, in Developments in Food Preservation, Vol. 3, Thorne, S., Ed., Elsevier Applied Science Publishers, London, 1985, 1.
10. Smith, T. and Tung, M. A., Comparison of formula methods for calculating thermal process lethality, J. Food Sci., 47, 626, 1982.
11. Ghazala, S., Ramaswamy, H. S., Smith, J., and Simpson, B., Thermal process time calculations for thin profile packages: comparison of formula methods, J. Food Process Eng, 13, 269, 1991.
12. Tucker, G. S., Development and use of numerical techniques for improved thermal process calculations and control, Food Control, 2(1), 15, 1991.
13. Gillespy, T. G., Estimation of sterilizing values of processes as applied to canned foods. I. Packs heating by conduction, J. Sci. Food Agric., 2(3), 107, 1951.
14. Esty, J. R. and Meyer, K. F., The heat resistance of the spores of B. botulinus and allied anaerobes, J. Infectious Dis., 34(1), 650, 1922.
15. Hayakawa, K., Schnell, P. G., and Kleyn, D. H., Estimating thermal death time characteristics of thermally vulnerable factors by programmed heating of sample solution or suspension, Food Technol., 23(8), 1090, 1969.
16. Ball, C. O. and Olson, F. C. W., Sterilization in Food Technology. Theory, Practice and Calculations, McGraw-Hill, New York, 1957.
17. Stumbo, C. R, Thermobacteriology in Food Processing, 2nd ed., Academic Press, New York, 1973.
18. Datta, A. K., Error estimates for approximate kinetic parameters used in food literature, J. Food Eng., 18(2), 181, 1993.
19. Jonsson, U., Snygg, B. G., Härnulv, B. G., and Zachrisson, T., Testing two models for the temperature dependence of the heat inactivation rate of Bacillus stearothermophilus spores, J. Food Sci., 42(5), 1251, 1977.
20. Ramaswamy, H. S., van de Voort, F. R, and Ghazala, S., An analysis of TDT and Arrhenius methods for handling process and kinetic data, J. Food Sci., 54(5), 1322, 1989.
21. David, J. R. D. and Merson, R. L., Kinetic parameters for inactivation of Bacillus stearothermophilus at high temperatures, J. Food Sci., 55(2),488, 1990.
22. Merson, R. L., Singh, R. P., and Carroad, P. A., An evaluation of Ball's formula method of thermal process calculations, Food Technol., 32(3), 66, 1978.
23. Stoforos, N. G., Thermal process design, Food Control, 6(2), 81, 1995.
24. Sapru, V., Smerage, G. H., Teixeira, A. A., and Lindsay, J. A., Comparison of predictive models for bacterial spore population resources to sterilization temperatures, J. Food Sci., 58(1), 223, 1993.
25. Pflug, I. J., Using the straight-line semilogarithmic microbial destruction model as an engineering design model for determining the F-value for heat processes, J. Food Prot., 50(4), 342, 1987.
26. T, for low-acid canned foods, J. Food Prot., 50(6), 528, 1987.
27. Hayakawa, K., Review on computerized prediction of nutrients in thermally processed canned food, J. AOAC, 60(6), 1243, 1977.
28. Bhowmik, S. A. and Hayakawa, K., Quality retention and steam consumption of selected thermal processes, Lebensm.-Wiss. u. Technol., 21(1), 13, 1988.
29. Tucker, G. S. and Holdsworth, S. D., Mathematical modeling of sterilization and cooking processes for heat-preserved foods. Applications of a new heat transfer model, Trans. IChemE, 69(C), 5, 1991.
30. Silva, C. L. M., Oliveira, F. A. R, and Hendrickx, M., Modeling optimum processing conditions for the sterilization of prepackaged foods. Food Control, 4(2), 67, 1993.
31. Deindoerfer, F. H. and Humphrey, A. E., Analytical method for calculating heat sterilization times, Appl. Microbiol., 7, 256. 1959.
32. de Ruyter, P. W. and Brunet, R., Estimation of process conditions for continuous sterilization of foods containing particulates, Food Technol., 27(7), 44, 1973.
33. Rao, M. A. and Loncin, M., Residence time distribution and its role in continuous pasteurization, Lebensm.-Wiss. u. Technol., 7(1), 14, 1974.
34. Chandarana, D. I. and Gavin, A., Establishing thermal processes for heterogeneous foods to be processed aseptically: a theoretical comparison of process development methods, J. Food Sci., 54(1), 198, 1989.
35. Lee, J. H., Singh, R. K., and Larkin, J. W., Determination of lethality and processing time in a continuous sterilization system containing particulates, J. Food Eng., 11,67,1990.
36. Ball, C. O., Mathematical Solution of Problems on Thermal Processing of Canned Food, Univ. of Calif. Pubs. in Public Health, Vol. 1, No. 2, Univ. of Calif. Press, Berkeley, CA, 1928. (With supplement in 1936.)
37. Schultz, O. T. and Olson, F. C. W., Thermal processing of canned foods in tin containers. III. Recent improvements in the general method of thermal process calculations. A special coordinate paper and methods of converting initial and retort temperatures, Food Res., 5, 399, 1940.
38. Cass, G. V., A note on use of Schultz and Olson lethal-rate paper for calculation of thermal processes for food products in tin containers, Food Res., 12, 1947.
39. Hayakawa, K., Modified lethal rate paper technique for thermal process evaluation, Can. Ins. Food Technol. J., 6(4), 295, 1973.
40. Leonhardt, G. F., A general lethal-rate paper for the graphical calculation of processing times, J. Food Sci., 43, 660, 1978.
41. Patashnik, M., A simplified procedure for thermal process evaluation, Food Technol., 7, 1, 1953.
42. American Can Co., Calculation of Processes for Canned Foods, American Can Co., Research and Technical Dept., Maywood, IL, 1952.
43. Hayakawa, K., A procedure for calculating the sterilizing value of a thermal process. Food Technol., 22(7), 905, 1968.
44. Taggart, R. and Farrow, F. D., Heat Penetration into Canned Foods, Tech. Communication No. 2, The Metal Box Co. LTD, Research Division, 1941. (Reprinted from Food, December 1941 and January 1942.)
45. Levine, S., Determination of the thermal death rate of bacteria, Food Res., 21, 295, 1956.
46. Deindoerfer, F. H., Calculation of heat sterilization times for fermentation media, Appl. Microbiol., 5, 221, 1957.
47. Datta, A. K., On the theoretical basis of the asymptotic semi logarithmic heat penetration curves used in food processing, J. Food Eng., 12, 177, 1990.
48. Schultz, O. T. and Olson, F. C. W., Thermal processing of canned foods in tin containers. I. Variation of heating rate with can size for products heating by convection, Food Res., 3, 647, 1938.
49. Kopelman, I. J., Pflug, I. J., and Naveh, D., On the conversion factors in thermal processes, J. Food Technol., 16, 229, 1981.
50. Merrill, D. G., Heating rates of food in glass and other containers, Ind. Eng. Chem., 40(12), 2263, 1948.
51. Alstrand, D. V. and Benjamin, H. A., Thermal processing of canned foods in tin containers. V. Effect of retorting procedures on sterilization values in canned foods, Food Res., 14, 253, 1949.
52. Townsend, C. T., Reed, J. M., McConnell, J., Powers, M. J, Esselen, W. B., Jr., Somers, I.I., Dwyer, J. J., and Ball, C. O., Comparative heat penetration studies on jars and cans, Food Technol., 3(6), 213, 1949.
53. Hayakawa, K. and Ball, C. O., Theoretical formulas for temperatures in cans of solid food and for evaluating various heat processes, J. Food Sci., 36, 306, 1971.
54. Uno, J. and Hayakawa, K., Correction factor of come-up heating based on critical point in a cylindrical can of heat conduction food, J. Food Sci., 45(4), 853, 1980.
55. Succar, J. and Hayakawa, K., Prediction of time correction factor for come-up heating of packaged liquid food, J. Food Sci., 47, 614, 1982.
56. Berry, M.R, Jr., Prediction of come-up time correction factors for batch-type agitating and still retorts and the influence on thermal process calculations, J. Food Sci., 48, 1293, 1983.
57. Ramaswamy, H. S., Come-up time effectiveness for process calculations involving thin-profile packages, J. Food Eng., 19, 109, 1993.
58. Flambert, C. M. F., Deltour, J., Dickerson, R. W., and Hayakawa, K., Lethal effect of food temperature on linear portion of a heating or cooling curve, J. Food Sci., 42, 545, 1977.
59. Steele, R. J. and Board, P. W., Amendments to Ball's formula method for calculating the lethal value of thermal processes, J. Food Sci., 44, 292, 1979.
60. Steele, R. J., Board, P. W., Bert, D. J., and Willcox, M. E., Revision of the formula method tables for thermal process evaluation, J. Food Sci., 44, 954, 1979.
61. Spinak, S. H. and Wiley, R. C., Comparison of the general and Ball formula methods for retort pouch process calculations, J. Food Sci., 47, 880, 1982.
62. Larkin, J. W., Revision of the hyperbolic equation used by the Ball formula method of thermal process evaluations, Paper No. 170, presented at the 50th Annual Meeting of Inst. of Food Technologists, Anaheim, CA, June 16 to 20, 1990.
63. Stoforos, N. G., On Ball's formula method for thermal process calculations, J. Food Proc. Eng., 13(4), 255, 1991.
64. Klostergaard, H., Simple mathematical solutions of problems associated with heat sterilization of milk, J. Food Sci., 30, 702, 1965.
65. Dickerson, R. W., Jr., Simplified equations for calculating lethality of the heating and cooling phases of thermal inactivation determinations, Food Technol., 23, 382, 1969.
66. Dickerson, R. W., Jr., Letter to the scientific editor, Food Technol., 24(7), 820, 1970.
67. Dickerson, R. W., Jr., Microbial lethality during logarithmic cooling, J. Food Sci., 36, 386, 1971.
68. Dail, R., Calculation of required time of aseptically processed low acid foods containing particulates utilizing the Ball method, J. Food Sci., 50, 1703, 1985.
69. Larkin, J. W., Use of a modified Ball's formula method to evaluate aseptic processing of foods containing particulates. Food Technol., 43(3), 124, 1989.
70. Olson, F. C. W. and Stevens, H. P., Thermal processing of canned foods in tin containers. II. Nomograms for graphic calculation of thermal processes for non-acid canned foods exhibiting straight-line semi-logarithmic heating curves, Food Res., 4, 1, 1939.
71. Sasseen, D. M., Computer Program for Process Calculation by the Simplified Ball Formula Method, Natl. Canners Assoc., West Res. Lab., Berkeley, CA, 1969.
72. Vinters, J. E., Patel, R. H., and Halaby, G. A., Thermal process evaluation by programmable computer calculator, Food Technol., 29(3), 42, 1975.
73. h function of Ball and Olson, Food Res., 23, 396, 1958.
74. Pflug, I. J., Evaluating the lethality of heat processes using a method employing Hick's table, Food Technol., 22(9), 1153, 1968.
75. Larkin, J. W. and Berry, R. B., Estimating cooling process lethality for different cooling j values, J. Food Sci., 56(4), 1063, 1991.
76. Herndon, D. H., Griffin, R. C., Jr., and Ball, C. O., Use of computer-derived tables to calculate sterilizing processes for packaged foods, Food Technol., 22(4), 473, 1968.
77. Griffin, R. C., Jr., Herndon, D. H., and Ball, C. O., Use of computer-derived tables to calculate sterilizing processes for packaged foods. II. Application to broken-line heating curves, Food Technol., 23(4), 519, 1969.
78. Grimn, R. C., Jr., Herndon, D. H., and Ball, C. O., Use of computer-derived tables to calculate sterilizing processes for packaged foods. III. Application to cooling curves. Food Technol., 25(2), 134, 1971.
79. Steele, R. J. and Board, P. W., Thermal process calculations using sterilizing ratios, J. Food Technol., 14, 227, 1979.
80. Hayakawa, K., Experimental formulas for accurate estimation of transient temperature of food and their application to thermal process evaluation, Food Technol., 24(12), 1407, 1970.
81. Hayakawa, K., Empirical formulae for estimating nonlinear survivor curves of thermally vulnerable factors, Can. Ins. Food Technol. J., 15(2), 116, 1982.
82. Lekwauwa, A. N. and Hayakawa, K, Computerized model for the prediction of thermal responses of packaged solid-liquid food mixture undergoing thermal processes, J. Food Sci., 51(4), 1042, 1986.
83. Downes, T. W. and Hayakawa, K., A procedure for estimating the retention of components of thermally conductive processed foods, Lebensm.-Wiss. u. Technol., 10(5), 256, 1977.
84. Hayakawa, K. and Downes, T. W., New parametric values for thermal process estimation by using temperatures and z values expressed in degree Celsius units, Lebensm.-Wiss. u. Technol., 14(2), 60, 1981.
85. Hayakawa, K., Mathematical methods for estimating proper thermal processes and their computer implementation, Adv. Food Res., 23, 1977.
86. c values using a hand-held calculator, J. Food Sci., 46, 193, 1981.
87. Chiheb, A., Debray, E., Le Jean, G., and Piar, G., Linear model for predicting transient temperature during sterilization of a food product, J. Food Sci., 59(2), 441, 1994.
88. Ryniecki, A. and Jayas, D. S., Automatic determination of model parameters for computer control of canned food sterilization, J. Food Eng., 19, 75, 1993.
89. Salvadori, V.O., Sanz, P. D., Dominguez Alonso, M., and Mascheroni, R. H., Application of z transfer functions to heat or mass transfer problems: their calculation by numerical methods, J. Food Eng., 23, 293, 1994.
90. Carslaw, H. S. and Jaeger, J. C., Conduction of Heat in Solids, 2nd ed., Clarendon Press, Oxford, Great Britain, 1959.
91. Olver, F. W. J., Bessel functions of integer order, in Handbook of Mathematical Functions, Abramowitz, M. and Stegun, A., Eds., Natl. Bureau of Standards, Appl. Math. Ser. 55. U.S. Govt. Print. Office, Washington, D.C., 1964, 355.
92. Gillespy, T. G., The principles of heat sterilization, in Recent Advances in Food Sciences, Vol. II, Hawthorn, J. and Leitch, J. M., Eds., Butterworths Sci. Publ., London, 1962, 93.
93. Olson, F. C. W. and Jackson, J. M., Heating curves. Theory and practical application, Ind. Eng Chem., 34(3), 337, 1942.
94. Cowell, N. D. and Evans, H. L., Studies in canning processes. IV. Lag factors and slopes of tangents to heat penetration curves for canned foods heating by conduction, Food Technol., 15, 407, 1961.
95. Hayakawa, K. and Ball, C. O., A note on theoretical heating curve of a cylindrical can of thermally conductive food. Can. Inst. Food Technol. J., 1(2), 54, 1968.
96. Kopelman, I. J., Naveh, D., and Pflug, I. J., Overshooting of thermal processes due to temperature distribution at steam-off, J. Food Technol., 17, 441, 1982.
97. Naveh, D., Kopelman, I. J., Zechman, L., and Pflug, I. J., Transient cooling of conduction heating products during sterilization: temperature histories, J. Food Proc. Pres., 7(4), 259, 1983.
98. Gillespy, T. G., Estimation of sterilizing values of processes as applied to canned foods. II. Packs heating by conduction: complex processing conditions and value of coming-up time or retort, J. Sci. Food Agric., 4(12), 553, 1953.
99. Hayakawa, K., Estimating food temperatures during various processing or handling treatments, J. Food Sci., 36, 378, 1971.
100. Thompson, G. E., Temperature-time relations in canned foods during sterilization, J. Ind. Eng Chem., 11(7), 657, 1919.
101. Olson, F. C. W. and Schultz, O. T., Temperatures in solids during heating or cooling. Tables for the numerical solution of the heating equation, Ind. Eng Chem., 34(7), 874, 1942.
102. Hicks, E. W., On the evaluation of canning processes, Food Technol., 5, 134, 1951.
103. Hurwicz, H. and Tischer, R. G., Heat processing of beef. I. A theoretical consideration of the distribution of temperature with time and in space during processing, Food Res., 17, 380, 1952.
104. Chapman, S. and McKernan, B. J., Heat conduction into plastic food containers, Food Technol., 17(9), 1159, 1963.
105. Teixeira, A. A., Dixon, J. R, Zahradnik, J. W., and Zinsmeister, G. E., Computer determination of spore survival distributions in thermally-processed conduction heated foods, Food Technol., 23(3), 352, 1969.
106. Teixeira, A. A., Dixon, J.R, Zahradnik, J. W., and Zinsmeister, G. E., Computer optimization of nutrient retention in the thermal processing of conduction-heated foods, Food Technol., 23(6), 845, 1969.
107. Manson, J. E., Zahradnik, J. W., and Stumbo, C. R, Evaluation of lethality and nutrient retentions of conduction-heating foods in rectangular containers, Food Technol., 24(11), 1297, 1970.
108. Manson, J. E., Stumbo, C. R, and Zahradnik, J. W., Evaluation for thermal processes for conduction heating foods in pear-shaped containers, J. Food Sci., 39, 276, 1974.
109. Flambert, C. M. F. and Deltour, J., Calcul des températures dans les aliments en boîtes cylindriques transmettant la chaleur par conduction, Indust. Alim. Agr., 88(9), 1279, 1971.
110. Flambert, F. and Deltour, J., Localization of the critical area in thermally processed conduction heated canned foods, Lebensm.-Wiss. u. Technol., 5(1), 7, 1972.
111. Flambert, F. and Deltour, J., Exact lethality calculation for sterilizing process. 1. Principles of the method, Lebensm.-Wiss. u. Technol., 5(2), 72, 1972.
112. Flambert, C. M. F. and Deltour, J., Calcul de la létalité des traitements thermiques de conduction appliqués aux conserves cylindriques, Indust. Alim. Agr., 90(1), 5, 1973.
113. Lenz, M. K. and Lund, D. B., The lethality-Fourier number method: experimental verification of a model for calculating temperature profiles and lethality in conduction-heating canned foods, J. Food Sci., 42(4), 989, 1977.
114. Naveh, D., Kopelman, I. J., and Pflug, I. J., The finite element method in thermal processing of foods, J. Food Sci., 48, 1086, 1983.
115. Naveh, D., Pflug, I. J., and Kopelman, I. J., Transient cooling of conduction heating products during sterilization: sterilization values, J. Food Proc. Pres., 7(4), 275, 1983.
116. Young, K. E. and Steffe, J. F., Predicting product lethality in hydrostatic retorts, J. Food Sci., 50, 1467, 1985.
117. Tandon, S. and Bhowmik, S. R, Evaluation of thermal processing of retortable pouches filled with conduction heated foods considering their actual shapes, J. Food Sci., 51(3), 709, 1986.
118. Bhowmik, S. A. and Tandon, S., A method for thermal process evaluation of conduction heated foods in retortable pouches, J. Food Sci., 52(1), 202, 1987.
119. Simpson, R., Aris, I., and Torres, J. A., Sterilization of conduction-heated foods in oval-shaped containers, J. Food Sci., 54(5), 1327, 1989.
120. Simpson, R., Almonacid-Merino, S. F., and Torres, J.A., Mathematical models and logic for the computer control of batch retorts: conduction-heated foods, J. Food Eng, 20, 283, 1993.
121. Mihori, T., Watanabe, H., and Kaneko, S., A control system for achieving correct heat sterilization processes: A one-dimensional approach to packaged conduction heating foods, J. Food Proc. Pres., 15, 135, 1991.
122. Tucker, G. S. and Clark, P., Modeling the cooling phase of heat sterilization processes, using heat transfer coefficients, Int. J. Food Sci. Technol., 25, 668, 1990.
123. Sheen, S., Tong, C. H., Fu, Y., and Lund, D. B., Lethality of thermal processes for food in anomalous-shaped plastic containers, J. Food Eng., 20, 199, 1993.
124. Akterian, S. G. and Fikiin, K. A., Numerical simulation of unsteady heat conduction in arbitrary shaped canned foods during sterilisation processes, J. Food Eng., 21, 343, 1994.
125. Jakobsen, F., Notes on process evaluation, Food Res., 19, 66, 1954.
126. Stumbo, C. R and Longley, R. E., New parameters for process calculation, Food Technol., 20(3), 341, 1966.
127. Jen, Y., Manson, J. E., Stumbo, C. R, and Zahradnik, J. W., A procedure for estimating sterilization of and quality factor degradation in thermally processed foods, J. Food Sci., 36, 692, 1971.
128. h/U:g parameters for process calculation, J. Food Sci., 38, 726, 1973.
129. Manson, J. E. and Zahradnik, J. W., Computer thermal process determination for conduction-heated foods, Food Technol., 21(9), 1206, 1967.
130. Tung, M. A. and Garland, T. D., Computer calculation of thermal processes, J. Food Sci., 43, 365, 1978.
131. Pham, Q. T., Calculation of thermal process lethality for conduction-heated canned foods, J. Food Sci., 52(4), 967, 1987.
132. Pham, Q. T., Lethality calculation for thermal processes with different heating and cooling rates, Int. J. Food Sci. Technol., 25(2), 148, 1990.
133. Teixeira, A. A., Tucker, G. S., Balaban, M. O., and Bichier, J., Innovations in conduction-heating models for on-line retort control of canned foods with any j-value, in Advances in Food Engineering, Singh, R. P. and Wirakartakusumah, M. A, Eds., CRC Press, Boca Raton, FL, 1992, 293.
134. Bichier, J. and Teixeira, A. A., Thermal processing of canned foods under mechanical agitation, in Heat Transfer in Food Processing, HTD-Vol. 254, Karwe, M. V., Bergman, T .L., and Paolucci, S., Eds., ASME, New York, 1993, 35.
135. Manson, J.E., A New Approach to Determining Product Heating Factors from Heat Penetration Data, Tech. Knowledge, Bull. No. 201, Technical, Inc., Metairie, LA, 1992.
136. Kim, K. H. and Teixeira, A. A., Use of finite cylinder heat transfer model for thermal process simulation of odd-shaped containers, Paper No. 71A-3, presented at the 54th Annual Meeting of Inst. of Food Technologists, Atlanta, GA, June 25 to 29, 1994.
137. Noronha, J., Hendrickx, M, Van Loey, A., and Tobback, P., New semi-empirical approach to handle time-variable boundary conditions during sterilisation of nonconductive heating foods, J. Food Eng, 24, 249, 1995.
138. Hicks, E. W., Uncertainties in canning process calculations, J. Food Sci., 26, 218, 1961.
139. Powers, J. J., Pratt, D. E., Carmon, J. L., Somaatmadja, D., and Fortson, J. C., Application of extreme-value methods and other statistical procedures to heat penetration data, Food Technol., 16(3), 80, 1962.
140. Herndon, D. H., Population distribution of heat rise curves as a significant variable in heat sterilization process calculations, J. Food Sci., 36(2), 299, 1971.
141. Lund, D. B., Statistical analysis of thermal process calculations, Food Technol., 32(3), 76, 1978.
142. Patino, H. and Heil, J. R, A statistical approach to error analysis in thermal processes calculations, J. Food Sci., 50, 1110, 1985.
143. Larkin, J. W. and Steffe, J. F., Experimental errors associated with the estimation of thermal diffusivity from thermal process data, J. Food Sci., 52(2), 419, 1987.
144. Hayakawa, K., de Massaguer, P., and Trout, R. J., Statistical variability of thermal process lethality in conduction heating food. Computerized simulation, J. Food Sci., 53(6), 1887, 1988.
145. Wang, J., Wolfe, R. R, and Hayakawa, K., Thermal process lethality variability in conduction-heated foods, J. Food Sci., 56(5), 1424, 1991.
146. Lenz, M. K. and Lund, D. B., The lethality-Fourier number method: confidence intervals for calculated lethality and mass-average retention of conduction-heating, canned foods, J. Food Sci., 42(4), 1002, 1977.
147. o values in cans which heat by conduction, J. Food Technol., 19, 623, 1984.
148. Teixeira, A. A., Zinsmeister, G. E., and Zahradnik, J. W., Computer simulation of variable retort control and container geometry as a possible means of improving thiamine retention in thermally processed foods, J. Food Sci., 40, 656, 1975.
149. Giannoni-Succar, E. B. and Hayakawa, K., Modified Duhamel's theorem for variable coefficient of convective heat transfer, J. Food Eng., in press, 1995.
150. McConnell, J. E. W., Effect of a drop in retort temperature upon the lethality of processes for convection heating products, Food Technol., 6(2), 76, 1952.
151. Teixeira, A. A. and Manson, J. E., Computer control of batch retort operations with on-line correction of process deviations, Food Technol., 36(4), 85, 1982.
152. Giannoni-Succar, E. B. and Hayakawa, K., Correction factors of deviant thermal processes applied to packaged heat conduction food, J. Food Sci., 47, 642, 1982.
153. Huang, F. and Hayakawa, K., A deviant heat process applied to canned or packaged liquid food, J. Food Sci., 48, 1229, 1983.
154. Datta, A. K., Teixeira, A. A., and Manson, J. E., Computer-based retort control logic for on-line correction of process deviations, J. Food Sci., 51 (2), 480, 1986.
155. Noronha, J., Van Loey, A., Hendrickx, M., and Tobback, P., Alternative algorithms for evaluation of process deviations in batch-type sterilization processes, in Food Processing Automation III, Proceedings of the FPAC III Conference, ASAE, St. Joseph, MI, 1994, 516.
156. Board, P. W., Cowell, N. D., and Hicks, E. W., Studies in canning processes. III. The cooling phase of processes for products heating by conduction, Food Res, 25, 449, 1960.
157. Hemler, V. H., Alstrand, D. V., Ecklund, O. F., and Benjamin, H. A., Processing and cooling of canned foods. Some heat transfer problems, Ind. Eng. Chem., 44(6), 1459, 1952.
158. Powers, J. J., Pratt, D. E., and Morris, W., Comparative heating rates of bentonite suspensions in jars processed in boiling water and in steam at atmospheric pressure, Food Technol., 6(7), 246, 1952.
159. Cleland, A.C. and Gesterkamp, M. F., The effect of irregular cooling phenomena on the lethality of thermal processes, J. Food Technol., 18, 411, 1983.
160. Jackson, J. M. and Olson F. C. W., Thermal processing of canned foods in tin containers. IV. Studies of the mechanisms of heat transfer within the container, Food Res., 5, 409, 1940.
161. Wiese, K. L. and Wiese, K.F., A comparison of numerical techniques to calculate broken line heating factors of a thermal process, J. Food Proc. Pres., 16, 301, 1992.
162. Manson, J. E., Limitations and Pitfalls in the Use of Different Calculation Methods. Numerical Methods, Tech. Knowledge, Bull. No. 200, Technical, Inc., Metairie, LA, 1991.
163. Berry, M. R, Jr. and Bush, R. C., Establishing thermal processes for products with broken-heating curves from data taken at other retort and initial temperatures, J. Food Sci., 52(4), 958, 1987.
164. Berry, M. R, Jr. and Bush, R. C., Establishing thermal processes for products with straight-line heating curves from data taken at other retort and initial temperatures, J. Food Sci., 54(4), 1040, 1989.
165. Swientek, R. J., Specialized software programs speed thermal process studies, Food Proc., July 1986.
166. Sperber, R. M., Advanced modeling software optimizes thermal processing, Food Proc., 50(11), 84, 1989.
167. Dobie, P. A. P., Tucker, G. S., and Williams, A., The Use of the "CTemp" Model to Assess the Effects of Process Deviations in Reel and Spiral Cooker Coolers, Tech. Memo. No. 697, Campden Food and Drink Research Association, Chipping Campden, Glos, UK, 1994.