传导

Based on equation of heat conduction, finite-element method is used to analyze temperature field of cable and provides witness for monitor temperature.

基于热传导方程和边界条件的基础上，采用有限元法对电缆温度场进行了分析，为监测电缆温度提供了理论依据。

Finally, the existence, uniqueness and convergence of solution to the original reaction diffussion system are obtained by the properties of heat conduction equation.

借助于热传导方程与反应扩散方程组的同解性，最终得到了反应扩散方程组解的存在性、惟一性以及收敛性。

In order to solve parabolic equation of heat conduction with interval parameters, the regions of space are discretized by finite elements and the regions of time are discretized by finite difference. The interval finite element method based on the element is established via the combination of interval analysis and the traditional finite element method.

对具有区间参数的热传导抛物型方程的求解，在空间域上利用有限单元离散，在时间域上利用差分离散，将区间分析和常规的有限元法相结合，建立了求解不确定温度场的基于单元的区间有限元方法。

In the simplified model, the governing equation of heat conduction is discretized using implicit finite difference method, and the computational domain is discretized using cell centered scheme, and the solution of Maxwell equation is used to determine the distribution of the internal heating sources.

使用的简化模型中热传导方程的离散采用隐式差分法、区域的离散采用内节点法，并以Maxwell方程的解确定内热源分布。

Then the basic fundamental and method of the computation of thermal load of the heated parts of internal-combustion engine are elaborated, the deflective differential equation of heat conduction, basic equation and boundary condition of the theory of thermo elasticity and numerical computation by FEA are introduced.

接着阐述了求解内燃机受热零部件热负荷的基本原理和方法，介绍了热传导的偏微分方程、热弹性理论的基本方程和边界条件确定的原则以及用有限元法进行的数值求解。

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 equation of heat conduction with surface effect is derived by applying the minimum principle of latent heat flux to describe the temperature distribution and reveal the size-dependence of thermoelastic damping in the form of energy dissipation during the vibration process.

由热流势原理导出了包含表面效应影响的热传导方程，描述了振动过程中温度的变化分布，揭示了热阻尼在表面效应影响下的尺度相关性。

In the third chapter, by the analysis of the thermal lens effect of laser crystal, single-end-pumped laser crystal is analyzed and a thermal model suited for particular operating circumstance is founded. By the use of equation of heat conduction and with the boundary conditions, the half analytic solution of thermal field in the laser crystal is obtained through half-analytic thermal analysis, and a practical example is calculated together with analysis of the effect of some parameters on the distribution of thermal field.

第三章从分析激光晶体的热透镜效应出发，对单端泵浦激光晶体进行了分析，建立了符合工作条件下激光系统的热温场模型，通过热传导方程及晶体的边界条件，利用半解析热分析方法得出了晶体内部温度场的半解析解，并对实例进行了计算，分析了各种参量对温度场分布的影响。

By using the homogeneous balance principle and Hermite transform, various kinds of exact solutions to a stochastic nonlinear evolution equations can be algebraically obtained in terms of the exact solutions of heat conduction equation with variable coefficients.

利用齐次平衡原则及厄尔米特变换，借助于变系数热传导方程的各种精确解，用代数的方法获得了一随机非线性发展方程组的各种精确解。

Using a kind of new solution to sovle the heat conduction equation of the anisotropic medium,general solution expressions of the temperature field and the thermal distortion field of Nd∶YVO4 crystal with rectangular section were obtained.

利用各向异性介质热传导方程的半解析求解方法，得出了矩形截面Nd∶YVO4晶体的温度场、端面热形变场的通解表达式。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！