傅里叶定律

由傅里叶定律导出了考虑导热各向异性时的温度场有限元计算公式。

The FEM formula for computing temperature field is deduced based on Fourier law .

以傅里叶定律和能量守恒定律为基础，结合有限差分理论推导出有限差分温度计算模型。

Base on the Fourier law and conservation of energy , and combine the finite difference , this dissertation deduce finite difference temperature model .

对于各向异性的物质来说，傅里叶定律必须改写成具有更普遍意义的形式。

For anisotropic materials Fourier 's law must be formulated in a more generalized form .

对于大多数常规条件下的非稳态热传导问题，傅里叶定律能够精确的描述。

Classical Fourier heat conduction law can describe most of the unsteady heat conduction problems in common condition .

其次，基于傅里叶定律、牛顿冷却定律以及能量守恒定律等建立了考虑热损失的热丝温度分布的准稳态数学解析模型，也推导出了热丝温度分布的瞬态解析式。

Secondly , based on the law of energy conservation , the mathematical model of the hot-wire temperature distribution considering the effect of heat loss was developed .

为研究点火前固体推进剂内传热过程，分析了傅里叶定律和修正的傅里叶定律的数学物理意义及其适用范围和判断准则；

To investigate the heat transfer in the solid propellant before ignition , analyzed the meaning of Fourier Law and Modified Fourier Law and pointed out their application field and criterion .

现在，在激光对材料热作用研究中，按照傅里叶定律导出的连续介质热传导方程对激光热作用温度场求解，仍然是人们采用的基本理论。

In the research of laser heat treatment , the continuous medium heat conductive equation which derived from Fourier law is the basic theory to be adopted usually to calculate the laser heat effect temperature field by many researchers .

实验发现有限厚度材料在激光辐照作用下，其内部产生了用经典傅里叶定律无法解释的非常规温度分布，将其定义为泛傅里叶效应，用于进一步揭示激光弯曲机理的实质。

Experimental result shows that there is a kind of un-convention temperature distribution in the limit thickness specimen under laser irradiation . This phenomenon cannot be explained by the classical Fourier Law and defined as Pan-Fourier effect in order to explain laser bending mechanism further .

根据傅里叶定律和水分传导定律导出了路面结构体系温度场和湿度场耦合作用的二维计算模型，采用有限差分法进行求解。

In this paper , the two-dimension theoretical calculation model of the coupling action temperature field and humidity field of road pavement structural body is obtained according to the heat conduction equations and Darcy law , and the algorithm of solution for the model using finite difference method was given .

分析了隔热原理，在傅里叶传热定律的基础上，简化传热模型。

The thermal insulation theory was analyzed and the heat transfer model was simplified based un the Fourier heat transfer law .

根据傅里叶传热定律和基尔霍夫导电定律，建立了预焙阳极铝电解槽阳极传热、导电的数学模型。

According to Fourier 's law and Kirchhoff 's law , a mathematical model of prebaked anode current and temperature fields of aluminum reduction cell was built .

讨论了通用傅里叶导热定律的数学模型，推导了半无限大物体在第一类边界条件下的基于非傅里叶导热定律的双曲线型偏微分方程的解析解。

The mathematical model of general Fourier heat conduction law is discussed in the paper . Based on the hyperbolic heat conduction equation of non Fourier heat conduction law , an analytical solution of a semi infinite body has been derived under the first boundary condition .

基于非傅里叶热传导定律，采用波函数展开法，研究了含圆柱缺陷非透明体中热波散射问题。

Based on non-Fouriers law of heat conduction , by using the expansion method of wave functions , the thermal wave scattering by subsurface cylinders in the opaque body is investigated .