查询词典 conduction

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。

Based on the thermodynamic analysis of heat transfer process between water jet and the blade surface, the differential equations of heat convection and differential equation of steady heat conduction between water jet and the blade surface are established. Power expression of heat exchange and temperature field expression of the blade are derived.

根据对水射流与刀片间传热过程的热力学分析分别建立了水射流与刀片表面对流换热微分方程组和热源与刀片间的稳态导热微分方程，推导出水射流对刀片的换热功率表达式和刀片内温度场表达式。

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。

According to axisymmetric unsteady heat conduction equation of orthogonal aniso tropic material and boundary conditions,the equilibrium equation of a system of finite elements is deduced with triangular element of high accuracy,and programs are designed.

根据均匀正交各向异性材料轴对称热传导方程及其边界条件，利用变分法及欧拉理论，选取 6 节点的高精度三角形单元类型，推导了一般轴对称非定常热传导有限元基本方程。并编制了相应的计算程序。

In order to solve the thermal effect problem of laser rod by diode laser end—pumped,based on the heat conduct theory,a novel eigenfunction group of heat conduction equation was es—tablished and the general solutions of temperature field and thermal distortion field within laserrod were obtained.

为了解决激光二极管端面泵浦激光棒引起的热效应问题，基于热传导理论，建构了热传导方程新的本征函数解，得出了激光棒内温度场与热形变场的一般解析表达式。

Assuming that the temperature distribution close to the concrete surface is the quadratic function of the coordinate, the back-analysis equations of thermal conductivity, heat transfer coefficient and absorption coefficient of solar radiation are derived based on one dimension Fourier equation of heat conduction and thermal boundary conditions.

为了选取更接近实际的热工参数，采用试验和反演分析相结合的方法，计算影响日照条件下混凝土结构温度场和温度效应分析结果的热工参数。

Functionally graded material ; non-fourier equation of heat conduction ; multiple scattering of thermal waves ; subsurface spheroid defect

功能梯度材料；非Fourier导热；热波多重散射；亚表面缺陷

In order to study the nonuniform temperature rise and thermal effect in the Yb:YAG crystal,based on the theory of semi-analytical thermal analysis and working characteristic analysis of Yb:YAG microchip with super-Gaussian beam end-pumping and back-face cooling,a new solution of heat conduction equation was introduced and the general expressions of temperature field,thermal distortion field and additional optical path differences of Yb:YAG microchip were obtained respectively.

为了研究抽运光在Yb：YAG晶体内产生的非均匀性温升以及引起的热效应问题，以半解析热分析理论为基础，结合超高斯光束端面抽运、背向冷却Yb：YAG微片工作特点分析，采用热传导方程一种新的求解方法，得出了Yb：YAG微片内部温度场、热形变场、附加光程差的半解析计算表达式。

Finally it offers the analysis of the fault-tolerance system as well as its test verification.

这样，运行于空间环境中的系统的设计目标就是在保证系统实时性

However, it is still difficult to find out the real reason of the increase of the keratinized gingiva during the orthodontic extrusion whether it is due to the proliferation of the gingival tissue or to its elastic nature, that is because the proliferation of the fibroblasts as well as the connective tissue changes in volume and the intra-fibers spaces were all immeasurable in most of the studies.

然而，仍然难以找到真正的原因增加的角化牙龈在正畸挤压它是否是由于扩散的牙龈组织或其弹性性质，这是因为增殖的成纤维细胞以及作为结缔组织的变化量和内部纤维空格都是不可估量的，大多数的研究。