The heat conduction equation

Boundary Element Analysis for the Heat Conduction Equation

传热导方程的边界元分析

This paper has designed an adaptive finite element algorithm for the heat conduction equation .

本文针对热传导问题，设计了一种自适应有限元算法。

A Enthalpy Source Method for Treating the Heat Conduction Equation of Solidification Problems

一种处理凝固导热方程的焓式源法

A handy solution of some special cases of Cauchy problem of the heat conduction equation

热传导方程Cauchy问题某些特殊情形的简便算法

Recently , a method of fractional order has been constructed and used in solving of the heat conduction equation gradually .

近年来，分数阶导数的方法逐步应用于热传导方程的求解中，不同的分数阶导数参数显示了不同的热传导能力。

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。

Based the heat conduction equation , this paper makes an improvement on the original method by using thermal conductivity as the basic parameter of FEM algorithm for the temperature field .

本文从热量平衡原理出发，提出了直接用导热系数为基本参数的热传导方程有限元解法，对原来以导温系数为基本参数的有限元方法进行了改进，改为以导热系数为基本参数。

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。

Integral expressions for steady-state and time-varying temperature distribution are obtained through solving the heat conduction equation in the most general form in a cylindrical coordinate system by using Hankel integration transformation method .

在柱坐标系下用Hankel积分变换方法求解一般形式的热传导方程得出了直流温升和交变温升空间分布的积分表达式。

Assuming that it is approximately a Gaussian laser beam , the heat conduction equation is resolved based on the assumption of the thermal insulating boundary conditions and the fixed thermal physical parameters .

在绝热边界条件和热物性参数恒定的假设下，求得了在基模高斯光束近似作用下热传导方程的解析解。

By adopting appropriate transformation , this paper transform the heat conduction equation with internal heat source into a non-source heat conduction equation , and then solve the problem successfully by the method of separation of variables .

其关键方法是：通过将电场量引入温度场方程，作适当变换，把含内热源的热传导方程转化为不含内热源的热传导方程，然后采用分离变量法进行求解。

Group implicit method for the nonlinear heat conduction equation and numerical experiments

非线性热传导方程的分组隐式解法及数值结果

The equivalent heat conduction equation of pipe cooling in mass concrete considering influence of external temperature

考虑外界温度影响的水管冷却等效热传导方程

The heat conduction differential equation of the temperature field of concrete slabs and the difference method are given .

阐述了混凝土板温度场的热传导微分方程和差分解析方法以及BP网络的算法步骤。

The non-linear heat conduction equation was adopted , considering the temperature-dependent thermal properties in the mathematical model .

在求解数学模型中考虑了物性随温度变化，采用了更贴近实际状况的变物性非线性热传导方程。

Then the non-linear heat conduction equation based on the equivalent time theory is applied to simulate and analyze the temperature fields of Longtan RCC gravity dam .

应用基于等效时间的非线性热传导方程，对龙滩碾压混凝土重力坝温度场进行仿真分析，并与传统理论计算结果比较。

By introducing two new functions ■ and ■ the coupled heat conduction equation and equilibrium equations are separated from each other into uncoupled ones which can be individually solved in a usual way .

引入两个新函数，将相互耦台的热传导方程和平衡方程分解为独立的方程进行求解。

In order to solve the ill-posed of heat conduction equation , discrete regularization method is used .

热传导方程寻源反问题具有不适定性。

Two high accuracy differencing schemes for solving the one dimensional heat conduction equation are established . The order of the discretization error is 0 ( h ~ 4 ) .

对一维热传导方程给出了两个四阶精度〔0（h~4）〕的差分格式。

In this paper is a class of initial boundary conditions of non-linear heat conduction equation , to study such a broad background of the actual non-linear heat conduction equation has important theoretical and applied value .

本文主要研究对象是一类具有初值条件的非线性热传导方程，研究这类有广泛实际背景的非线性热传导方程有着重要的理论和应用价值。

The application of equivalent heat conduction equation in cooling temperature field calculation of mass concrete water pipe

等效热传导方程在大体积混凝土水管冷却温度场计算中的应用

An inverse problem for identification of the coefficient in heat - conduction equation is considered .

讨论热传导方程求解系数的一个反问题。

Based on the analytical solution of heat conduction equation , an equation of temperature wave of the type of Fourier series was derived to predict the response of temperature at variable depths to ground surface condition .

通过热传导方程对土壤中的传热过程进行分析，得到傅立叶级数表示的温度波方程，用于预测不同深度土壤响应地表条件而产生的温度变化。

Based on the similarity of the heat conduction equation used in software ANSYS and the Biot consolidation equation , the heat conduction module of software ANSYS was employed to solve the Biot consolidation equation .

根据ANSYS软件中所使用的热传导方程与Biot固结方程的相似性，应用ANSYS软件的热传导模块求解Biot固结方程，为Biot固结方程的求解与分析提供一种简单、快速和准确的方法。

This method can broaden the scope of the solution of heat conduction equation and gives an explicit and complete interpretation .

用傅式级数分析法所得之解扩大了热传导方程式解之涵盖范围，同时也可获得简明而完整之物理意义。

And the error between the classic Fourier heat conduction equation and the equation with the influence of coupling is only 1.8 % .

同时通过计算可知，考虑耦合项的导热模型与傅立叶导热方程相比，仅是引进了一个常数项，两方程计算结果相差仅1.8%。

The finite element method of the transient heat conduction equation and the principle of maximum norm

瞬变温度场问题的有限元解法和最大模原理

A mathematical model of the nozzle ablation based on the Fourier heat conduction equation has been developed to numerically analyze the nozzle heating and the subsequent ablation .

将喷口烧蚀分为加热和烧蚀两个过程，并且，基于Fourier导热微分方程分别建立了相应的数学模型。

On the basis of the new theory of heat conduction equation considering the chemical reaction rate of concrete , the temperature field caused by hydration heat in massive concrete walls is analyzed , and the analytical iterative solution to the nonlinear heat conduction equation is presented .

根据已提出的考虑混凝土化学反应速率的热传导方程新理论，分析了水化热引起的大体积混凝土墙的温度场，给出了该问题非线性热传导方程的解析迭代公式。

The FEM was theoretically governed by the enthalpy-based Fourier heat conduction equation , and the results were provided in the form of temperature distribution at the time of die-opening cycle of 20 s , and temperature versus solidifying time relations at gating system and geometric center .

FEM模拟的控制方程是基于焓变的Fourier导热方程。模拟结果为开模循环周期20s的温度场，几何中心与浇道等铸件特定部位的温度时间曲线。