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《Journal of Baoji University of Arts and Sciences(Natural Science Edition)》 2009-01
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The thermal field theory guide

HE Jia-ju(Room 602,No.24,Lane 1581,Hualing Road,Shanghai 200442,China)  
Aim In order to apply Fourier Law q=-λ▽T to nonsteady conduction,a new conduction equation in relation to nonsteady conduction was established in thermal field.Methods A new thermodiffusion law q=-λ▽T+λ-m∫lm/l(▽T)dl was made by establishing the integral expression of the vector temperature Θ(x,y,z,τ),Θl=∫lm/l(▽T)dl,and transforming Fourier Law.Results The vector temperature Θ is a basic field quantity.The thermodiffusion equation ▽2T=2Tτ2+m-1lTτ was derived from new thermodiffusion law.Conclusion Analysis of the exact solution T(x,τ)=x0l1-x2l2m-32ΔT+T0 of thermodiffusion equation showed:1)Thermodiffusion speed u=ma/(2mτa+l_0~2)~(1/2) was finite and its value kept pace with time attenuation;2)There was a transient heat-storehouse l0 in thermodiffusion field;3)Both the principle of the increase of entropy and the rate of entropy increase were related to the fourth coordinate and its reciprocal linearity l-1 in thermal field.
【CateGory Index】: TK123
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