用边界积分法求解热传导方程的反问题

采用边界积分法求解热传导方程的反问题,并利用热传导方程的基本解对一维情况进行了数值计算。     

第三类Chebyshev小波方法求解一维热传导方程

主要研究第三类Chebyshev小波用于求解一维热传导方程,并通过MATLAB数学软件进行数值仿真实验,实验表明,该方法是可行的,并与Haar小波方法比较可以看出,该方法具有一定的优越性。     

单模压缩磁极化子的研究

在改进的Lee-Low-Pines(LLP-H)变换基础上引入单模压缩态变换来处理磁极化子的哈密顿量,并在定态矢下求期望值,应用变分法求得压缩磁极化子的基态及激发态能.结果表明:a.压缩态的引入使磁极化子的能级降低;b.磁极化子的压缩程度随着磁场的增大而减小;c.磁极化子能级的修正随着电-声相互作用的增加而增大;d.回旋质量(M)*0, 1及(M)*1,0都比电子的裸质量小,但(M)*0,-1在强磁场时却比电子的裸质量大.     

The optimization model of the heat conduction structure

An optimization model considering a novel thermal performance index to be the objective function is proposed for minimizing the highest temperature in this paper. Firstly, the performance of the conventional heat conduction optimization model, with the dissipation of heat transport potential capacity as the objective function, is evaluated by a one-dimensional heat conduction problem in a planar plate exchanger. Then, a new thermal performance index, named the geometric average temperature, is introduced. The new heat conduction optimization model, with the geometric average temperature as the objective function, is developed and the corresponding finite element formula is presented. The results show that the geometric average temperature is an ideal thermal performance index and the solution of the new model is close to the theoretical optimal solution.     

TC-2型导热系数测定仪的改进

本文主要研究TC-2型导热系数测定仪的改进方法,并从实验原理和实验数据上予以阐明.     

热传导方程的混合问题

本文应用拉氏变换,求出了一个热传导方程具有第二边界条件的混合问题的解.     

Some non-Fourier heat conduction characters under pulsed inlet conditions

Through simulating one-and two-dimensional non-Fourier heat conduction problems under different pulsed inlet conditions, this paper numerically predicts some different non-Fourier heat conduction characters arose from different pulse types and different pulse frequencies. Meanwhile, the differences among thermal wave, non-Fourier and Fourier heat conduction are also showed.     

热传导问题的MATLAB数值计算

分析了应用MATLAB中PDE工具箱解热传导问题的方法和步骤,编制了三个难以用解析方法求解的算例。采用有限元法求解导热偏微分方程,应用PDE工具箱得到数值解。对适合圆柱坐标描述的问题,通过公式变化将其转换为能用PDE工具箱求解的形式。算例表明,用MATLAB对复杂形状和有内热源的非稳态导热问题进行数值计算和图形处理是方便高效的。     

一个非标准逆热传导方程的正则化方法

考虑了一维非标准逆热传导方程.问题是严重不适定的,方程的解不连续地依赖于数据.通过Fourier逼近的方法进行正则化处理,提出新的一种方法,恢复了解对数据的连续性,并给出了误差估计,相比较该方法不仅保留了原始数据的部分高频成份,而且具有相同的误差估计.     

Least dissipation principle of heat transport potential capacity and its application in heat conduction optimization

In the viewpoint of heat transfer,heat transport potential capacity and its dissipation are defined based on the essence of heat transport phenomenon,Rspectively,their physical menings are the overall heat transfer capability and the dissipation rate of the heat transfer capacity.Then the least dissipation principle of heat transport potential cpacity is presented to enhance the heat conduction efficiency in the heat conduction optimization .The principle is, for a conduction process with the constant integral of the thermal conductivity over the region ,the optimal distribution of thermal conductivity,which corresponds to the highest heat conduction efficiency ,is characterized by the least dissipation of heat transport potential capacity .Finally the principle is applied to some cases in heat conduction optimization.     

振荡管管壁轴向导热的试验研究

对振荡管管壁的轴向导热进行了实验研究，提出了一定振荡频率和膨胀比下隔阻客壁轴向导热对振荡管等熵制冷效率及管内流动的影响规律，结果表明；隔阻振荡管冷、热端管壁的轴向导热、使管内激波幅值增大，激波形成点后移，等熵制冷效率有显著提高。     

一类热传导方程逆时反问题的数值解法

讨论一类热传导方程逆时反问题(BHCP)的数值解法.中心差分法的思想是基于对原问题只进行空间离散,转化为一个不适定的常微分方程组的初值问题,然后利用变量变换把该问题转化为一个适定的常微分方程组的初值问题,最后利用Runge-Kutta方法进行数值求解.数值结果说明了数值解与精确解吻合良好.     

无机介质热传导器锅炉的设计计算

具有无机介质传导器的TXH -G型系列锅炉 ,是一种速热、节能、消烟除尘效果好 ,热效率高的多用锅炉 .该锅炉结构设计新颖 ,燃烧计算以“直接计算法”取代传统的计算方法 .     

Least dissipation principle of heat transport potential capacity and its application in heat conduction optimization

The heat conduction following the Fourier law widely exists in nature and engineering. Usually, the thermal resistance is applied to evaluating the perform-ance of the heat conduction, i.e. the less resistance corre-sponds to the better performance. Therefore, the heat conduction is often enhanced by means of using high conductivity materials or reducing the thermal contact resistance. The more general performance criterion is the heat duty for the given temperature difference DT, or the temp…     

Non-Fourier heat conduction study for steady states in metallic nanofilms

As a fundamental theory of heat transfer, Fourier’s law is valid for most traditional conditions. Research interest in non-Fourier heat conditions is mainly focused on heat wave phenomena in non-steady states. Recently, the thermomass theory posited that, for steady states, non-Fourier heat conduction behavior could also be observed under ultra-high heat flux conditions at low ambient temperatures. Significantly, this is due to thermomass inertia. We report on heat conduction in metallic nanofilms from large currents at low temperatures; heat fluxes of more than 1×1010 W m 2 were used. The measured average temperature of the nanofilm is larger than that based on Fourier’s law, with temperature differences increasing as heat flux increased and ambient temperature decreased. Experimental results for different film samples at different ambient temperatures reveal that non-Fourier behavior exists in metallic nanofilms in agreement with predictions from thermomass theory.     

海冰温度场热传导方程解的适定性

依据冰-洋耦合的热力学模式,建立了海冰温度场热传导系统的数学模型,对此非线性非光滑抛物型偏微分方程的初边值问题,应用Lax-Milgram定理,证明了该系统方程弱解的适定性.     

一类热传导自由边界问题的数值解法

考虑一类抛物型偏微分方程的自由边界问题,在进行边界拉直坐标变换后,用泰勒级数展开方法给出该问题数值解的求解过程,这一数值方法计算量小.通过一个具体数值算例对所求的数值解和前人已经获得的解析解进行误差比较,发现其效果理想.     

求解反向热传导问题的Fourier正则化方法

反向热传导问题是一类严重不适定问题.可以用Fourier正则化方法去稳定近似一个反向热传导问题.Fourier正则化的优点是简单而有效.一个H(o)lder型稳定性误差估计被得到.     

脉冲激光处理硅钢片导热方程有限差分解

建立温度场的数学物理模型，采用有限差分法求解材料在脉冲激光热源作用下具有复杂边界条件温度分布，研究激光与材料相互作用的温度时空特性，对于分析材料的热吸收效应和处理硅钢片具有理论和指导意义。