Explicit Finite Difference Methods for Heat Transfer Simulation and Thermal Process Design

Authors

  • B.A. WELT,

    1. Author Welt is with Nestlé R & D Ćenter, Inc., P.O. Box 4002, 809 Collins Avenue, Marysville, OH 43040-4002. Authors Teixeira and Chau are with the Agricultural & Biological Engineering Dept., Univ. of Florida, P.O. Box 110570, Gainesville, FL 32611-0570. Author Balaban is with the Dept. of Food Science & Human Nutrition, Univ. of Florida, Gainesville, FL 32611. Author Hintenlang is with the Nuclear Engineering Sciences Dept., Univ. of Florida, Gainesville, FL 32611.
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  • A.A. TEIXEIRA,

    1. Author Welt is with Nestlé R & D Ćenter, Inc., P.O. Box 4002, 809 Collins Avenue, Marysville, OH 43040-4002. Authors Teixeira and Chau are with the Agricultural & Biological Engineering Dept., Univ. of Florida, P.O. Box 110570, Gainesville, FL 32611-0570. Author Balaban is with the Dept. of Food Science & Human Nutrition, Univ. of Florida, Gainesville, FL 32611. Author Hintenlang is with the Nuclear Engineering Sciences Dept., Univ. of Florida, Gainesville, FL 32611.
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  • K.V. CHAU,

    1. Author Welt is with Nestlé R & D Ćenter, Inc., P.O. Box 4002, 809 Collins Avenue, Marysville, OH 43040-4002. Authors Teixeira and Chau are with the Agricultural & Biological Engineering Dept., Univ. of Florida, P.O. Box 110570, Gainesville, FL 32611-0570. Author Balaban is with the Dept. of Food Science & Human Nutrition, Univ. of Florida, Gainesville, FL 32611. Author Hintenlang is with the Nuclear Engineering Sciences Dept., Univ. of Florida, Gainesville, FL 32611.
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  • M.O. BALABAN,

    1. Author Welt is with Nestlé R & D Ćenter, Inc., P.O. Box 4002, 809 Collins Avenue, Marysville, OH 43040-4002. Authors Teixeira and Chau are with the Agricultural & Biological Engineering Dept., Univ. of Florida, P.O. Box 110570, Gainesville, FL 32611-0570. Author Balaban is with the Dept. of Food Science & Human Nutrition, Univ. of Florida, Gainesville, FL 32611. Author Hintenlang is with the Nuclear Engineering Sciences Dept., Univ. of Florida, Gainesville, FL 32611.
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  • D.E. HINTENLANG

    1. Author Welt is with Nestlé R & D Ćenter, Inc., P.O. Box 4002, 809 Collins Avenue, Marysville, OH 43040-4002. Authors Teixeira and Chau are with the Agricultural & Biological Engineering Dept., Univ. of Florida, P.O. Box 110570, Gainesville, FL 32611-0570. Author Balaban is with the Dept. of Food Science & Human Nutrition, Univ. of Florida, Gainesville, FL 32611. Author Hintenlang is with the Nuclear Engineering Sciences Dept., Univ. of Florida, Gainesville, FL 32611.
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  • Florida Agricultural Experiment Station Journal Series No. R-05312.

  • We gratefully acknowledge the National Needs Fellowship program sponsored by the United States Department of Agriculture.

ABSTRACT

A considerable difference between two explicit finite difference heat transfer simulation approaches was described. Time step restrictions, which are often the basis for criticism of explicit methods, were shown to be less severe when the surface was not considered to have thermal mass. Thermal process design combines heat transfer and reaction kinetics considerations. Accuracy of lethality estimates depends on time step size. Guidelines were developed for applying discrete time-temperature data to thermal process calculations. For time steps small enough to permit a linear temperature change approximation, it was shown that for increasing (decreasing) temperatures, a value within 50 to 60% (40 to 50%) of total temperature change should be used.

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