首先，根据热传导的基本原理，建立温度场的傅立叶导热微分方程。
Firstly, in the sight of basic principle on conductions of heat, Fourier heat conduction differential equation of temperature field is founded.
建立能量平衡方程、钢坯导热微分方程、氧化层生成线性和抛物线增长的组合方程。
Energy balance equation, differential equation of heat conduction and combination of linear equation and parabolic equation of oxygen-layer forming are established.
用叠加原理求解多层非均匀内热源组合平板稳态导热微分方程组，得出热流量分布公式和温度公式。
The steady heat-conduction differential simultaneous equations of multicomposite plate with nonuniform generation are solved by the superposition principle.
基于三维非稳态导热微分方程，用控制容积法建立了火灾环境下钢筋混凝土三维非稳态温度场的离散格式。
Base on the three-dimensional heat conduction differential equation, the discrete formulation of three-dimensional unsteady temperature field under fire is established by the volume-control method.
采用有限元法求解梁截面导热偏微分方程，应用pde工具箱得到数值解。
The partial differential equation (PDE) for heat conduction was solved with the finite element method and the PDE toolbox was adopted to obtain the numerical simulation.
又对于变密度、变比热、变导热系数这样的更一般的情况也推立了六个二阶热传导的微分方程。
By the way, for the case of variable density, specific heat as well as thermal conductivity, we have been successful to deduce other similar six heat transfer differential equations.
当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。
The nonlinear equation of heat conduction is transformed into a Laplace's equation by applying the Kirchhoff transformation, and an analytic approximate solution of the equation is derived.
当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。
The nonlinear equation of heat conduction is transformed into a Laplace's equation by applying the Kirchhoff transformation, and an analytic approximate solution of the equation is derived.
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