Abo Bibliothek: Guest

ISSN Online: 2377-424X

ISBN Print: 0-89116-130-9

International Heat Transfer Conference 6
August, 7-11, 1978, Toronto, Canada

OPTIMAL REFERENCE TEMPERATURE FOR THERMOPHYSICAL PROPERTIES IN TRANSIENT NONLINEAR HEAT CONDUCTION PROBLEMS

Get access (open in a dialog) DOI: 10.1615/IHTC6.380
pages 269-274

Abstrakt

The paper suggests an optimal reference temperature approach, whereby a variable property problem of heat conduction may be treated as a constant property one, with physical properties evaluated at the reference temperature. The latter is chosen in such a way that the absolute value of the difference in the solutions of the corresponding problems (with variable properties and linearized one) is minimal. Optimal reference temperature takes into account the form of thermal conductivity and specific heat variation with temperature, the shape of the body, type of boundary conditions, the initial temperature level, the maximal temperature difference and the temperature distribution in the case of the corresponding constant properties problem with thermal diffusivity evaluated at initial temperature. It is, further, time dependent and essentially differs from any other "mean" temperature proposed in the literature earlier, eliminating, thus, the known drawbacks in their applications. The mention is made that there is a need for individual determination of reference temperature for every particular problem in consideration. The application of the optimal reference temperature concept to the variety of transient nonlinear heat conduction problems is straightforward and is illustrated in the paper on an important example.