Energy balance equation, differential equation of heat conduction and combination of linear equation and parabolic equation of oxygen-layer forming are established.
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。
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。
Heat equation is the most typical one of parabolical equations, which describes many physical-phenomenas, such as conduction, diffusion. Etc.
如描述热传导、扩散等物理现象的热传导方程就是最典型的抛物型方程。
The three-dimensional heat conduction equation for steady state operating conditions of bipolar microwave power transistors has been solved.
本文对双极性微波功率晶体管(以下简称微波功率晶体管)求解了稳态工作条件下的三维热传导方程。
In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
给出了热传导方程边界控制问题的精确解和近似解，证明了近似解对精确解的收敛性。
Then by being combined with constitutive equation of changing physical parameter and nonhomogeneous compound material, it deduces the heat conduction equation of c.
结合变物性非均匀材料本构方程，推导出变物性非均匀复合材料的热传导方程。
A solution of Cauchy's problem of heat conduction equation is constructed with the concept of generalized function.
利用广义函数的概念构造出热传导方程柯西问题的解。
By use of the heat conduction equation in a moving medium, the analytical solution of the temperature distribution and heat flow distribution and its computational results are obtained in this paper.
本文从热传导方程出发，得到了大洋中脊下岩石层温度分布的分析表达式及数值计算结果。
A method for resolving the energy equation of the circular microchannel, which considers axial heat conduction, temperature jump, velocity slip and thermal entrance is presented.
提出了一种考虑轴向热传导、速度滑移、温度跳跃和入口效应情况下圆形微通道能量方程的求解方法。
In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
就一类典型的抛物型问题——热传导方程，研究矩形网格上质量集中有限元方法的有关性质。
It is one of the basic problems to study the heat conduction equation (the diffusion equation) using numerical method on unstructured grids.
在非结构化网格中，数值求解标量扩散方程(导热方程)是当今数值计算的基础问题。
The integro-differential equation of parabolic type often occurs in applications such as heat conduction in materials with memory, compression of viscoelastic media, nuclear reactor, dynamics, etc.
抛物型积分微分方程多出现在记忆材料的热传导、多孔粘弹性介质的压缩、原子反应、动力学等问题中。
This thesis focuses on determination of parameters in a two-dimension heat conduction equation on the MPI network parallel environment, by solving an inverse problem using the regularization method.
本文是在MPI网络并行环境中，将求解二维热物性方程参数的反问题用正则化方法结合并行遗传算法进行数值求解。
This paper gets discretization equation by integrating the basic equation of unsteady heat conduction and writes a calculating program.
此文根据非稳定热传导基本方程式积分得到离散化方程式，编写出计算程序。
The heat transfer of steel fluid in continuous casting mould is a stable process and can be depicted with three-dimensional stable heat conduction equation depending on tension speed.
连铸结晶器内钢液的传热可视为一个稳态过程，可用依赖于拉坯速度的三维稳态热传导方程描述。
The governing equation of our model contains not only the convection and conduction terms, as usual, but also the heat dispersion term, which is neglected la many papers.
模型的控制方程不仅如通常那样包含对流项和传导项，还包含许多文献中常被忽略的热机械弥散项。
Under homogeneous conditions, the application of this equation may give a differential approximation of high order accuracy for Lapace equation, Poisson equation and heat conduction equation.
在矩形网格上的九点差分近似的正确公式。使用它，在均质情况下，对拉普拉斯方程、布阿松方程和热传导方程可以构造出高阶精度的差分近似。
The artical introduces elementary equation, boundary and initial conditions of model of equivalent conduction heat transfer, physical property prarameters processing and the method of value solving.
介绍了等效传导传热模型的基本方程、界条件和初始条件、性参数的处理以及数值求解方法等。
The governing equation of the model contains not only the convection and conduction terms that were usually considered, but also the heat dispersion term that was generally neglected in many papers.
该模型的控制方程中不仅包含传统的对流和传导项，还有热弥散项，后者在许多著作中常被忽略掉。
Firstly, in the sight of basic principle on conductions of heat, Fourier heat conduction differential equation of temperature field is founded.
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。
In fact, this method is improper. The mistake results mainly from the following hypothesis: the first order correction of the heat conduction equation is tenable for all parameters in physics.
但事实上，这种方法是不妥当的，其错误主要来自于下述假定：对热传导方程的一级修正对物理学的所有参数都成立。
The temperature field was solved by equivalent time-based non-linear heat conduction equation. The creep of concrete at early age was taken into account for solving the stress field.
温度场的求解基于等效时间的非线性热传导方程，应力场求解考虑混凝土初期徐变影响。
Finally, a more accurate calculation result is obtative with a full consideration of the coupling term in both ablative equation and heat-conduction equation.
利用烧蚀和导热计算方程组中二者的结合部，通过充分耦合，获得了更准确的预示计算结果。
The combined radiation and conduction heat transfer in multilayer perforated insulation material MLPIM in orbit were investigated. The energy equation of the reflective screen was established.
分析了空间多层打孔隔热材料中导热和辐射换热的复合传热问题，建立了关于反射屏的能量方程。
A on-line mathematical model for tracing coil temperature of the bell-type furnace is established based on the two-dimensional, axisymmetric, transient heat conduction equation.
建立了以温度跟踪为目的的全氢罩式炉钢卷退火过程在线数学模型。
The heat transfer coefficient of quenching medium, as a key parameter in the boundary condition of heat conduction equation, plays an important role in numerical simulation of steel quenching process.
在钢高压气体淬火过程的计算模拟中，关键问题之一是温度场和应力场边界条件的确定。
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.
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。
The variational method is utilized for the discretization of the governing transient conduction-convection equation, with heat transfer coefficients adaptively determined by the actual mill data.
生产应用中，采用短时、长时自学习方法对换热系数进行在线修正，进一步提高模型的预测精度和稳定性。
This is Fourier's law of heat conduction. It's a partial differential equation. We have the only cookbook in the world that has partial differential equations in it.
这是傅立叶热传导定律，这是一个偏微分方程序，我们拥有世上唯一写上偏微分方程序的食谱。
This is Fourier's law of heat conduction. It's a partial differential equation. We have the only cookbook in the world that has partial differential equations in it.
这是傅立叶热传导定律，这是一个偏微分方程序，我们拥有世上唯一写上偏微分方程序的食谱。
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