Computerized Finite-Difference Method to Calculate Transient Heat Conduction with Thawing

Authors

  • H. Peter Steinhagen

Keywords:

Heat transfer computer program, thawing model, phase change, nonlinear heat conduction

Abstract

Transient temperature profiles of frozen logs subjected to axisymmetric thawing and heating were calculated by a temperature method and an enthalpy method. The present paper discusses only the temperature method, which uses the conventional (temperature) formulation of the nonlinear heat conduction equation. This approach required the specification of a thawing temperature interval over which the latent heal was incorporated in the specific heat. Thermal properties were varied with position and temperature, and changed discontinuously with the phase. The log surface temperature was specified. The computerized finite-difference program HEAT was used in conjunction with this method. Computed temperature profiles were in overall agreement with experimental data obtained from heating logs in agitated water.

References

Beckman, W. A. 1972. HEAT (Heat transfer computer program in FORTRAN V language). EES Report No. 37, Engineering Experiment Station, University of Wisconsin, Madison, WI.nBonacina, C., G. Comini, A. Fasano, and M. Primicerio. 1973. Numerical solution of phase-change problems. Int. J. Heat Mass Transfer 16:1825-1832.nHamming, R. W. 1962. Numerical methods for scientists and engineers. McGraw-Hill, New York, NY.nKubler, H. 1962. Shrinkage and swelling of wood by coldness. Holz Roh-Werkst. 20(9):364-368.nMacLean, J. D. 1946. Rate of temperature change in short-length round timbers. ASME Transactions 68(1): 1-16.nSteinhagen, H. P. 1977a. Heating times for frozen veneer logs—New experimental data. For. Prod. J. 27(6):24-28.nSteinhagen, H. P. 1977b. Thermal conductive properties of wood, green or dry, from —40° to + 100°C: A literature review. USDA For. Serv. Gen. Tech. Report FPL-9, Forest Products Laboratory, Madison, WI.nSteinhagen, H. P. 1978. Heating times for frozen and nonfrozen veneer logs. Ph.D. thesis. University of Wisconsin-Madison. MJN78-04884, University Microfilms, Ann Arbor, MI.nSteinhagen, H. P. G. E. Myers, and H. Kubler. 1980. Heating time charts for frozen and nonfrozen veneer logs. For. Prod. J. 30(4):27-37.nVoller, V., and M. Cross. 1981. Accurate solutions of moving boundary problems using the enthalpy method. Int. J. Heat Mass Transfer 24:545-556.n

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Published

2007-06-28

Issue

Number 3 / July 1986

Section

Research Contributions

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