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稳定温度场的有限元法 对于边界为f的平面物体G,根据变分原理,可以证明满足拉普拉斯方程和第三类边界条件的温度函数t(x,y)是使如下泛函取极小的函数:文献[1]指出,根据不可逆过程热力学的昂色格理论和定态最小熵产生率原理,U(t)是与该物体系统熵产生率相联系的量,而该泛函取极小即是系统定态最小熵产生率原理。同样可以证明,相应于第二类边界条件的泛函为:
Finite Element Method for Stable Temperature Field For a planar object G with boundary f, according to the variational principle, the temperature function t (x, y) that satisfies Laplace’s equation and the third type of boundary condition can be proved to be Minimal Function: According to the literature [1], U (t) is the quantity associated with the entropy generation rate of the object system according to the Angstinge theory of thermodynamics of irreversible process and the principle of minimum entropy of steady state. Minimize the system is the principle of minimum entropy generation rate. It can also be proved that the functional corresponding to the second type of boundary conditions is: