Research on Numerical Characteristics of Unsteady Heat Conduction of an Infinite Plate
In this paper,the two numerical characteristics of the average temperature and dissipation function of an infinite plate are studied.The mathematical model of the dimensionless average excess temperature under convection heat transfer boundary conditions is obtained and the change law of surface temperature coefficient with eigenvalue and Biot number is analyzed.The time constant is defined and it reflects the decay rate of dimensionless average excess temperature.The change law of dimensionless average excess temperature are discussed in the cases of the Biot number tends to zero and infinity.The functional relationship between thermoelastic potential and dissipation function is derived by Green's formula and the similarity with dissipation system of mechanical energy is discussed.The variation of dissipation function under convection heat transfer boundary conditions is get and it is compared with that of average excess temperature.
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维普
