Hyperbolic heat conduction restricted by continuous boundary interface

Finite difference method (FDM) combined with MacCormack' s predictor-corrector scheme is used to solve the problem of hyperbolic heat conduction in a finite medium. One of its boundary surfaces is heated by a rectangular pulsed energy source while the other surface is tightly contacted with another medium where the continuous boundary condition is satisfied. Some non-Fourier heat conduction behaviors have been analyzed theoretically.``     

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。     

Molecular dynamics simulations of non-Fourier heat conduction

Unsteady heat conduction is known to deviate significantly from Fourier＇s law when the system time and length scales are within certain temporal and spatial windows of relaxation. Classical molecular dynamics simulations were used to investigate unsteady heat conduction in argon thin films with a sudden temperature increase or heat flux at one surface to study the non-Fourier heat conduction effects in argon thin films. The studies were conducted with both pure argon films and films with vacancy defects. The temperature profiles in the argon films showed the existence of mechanical waves when the thin film was suddenly heated and the wave nature of the heat propagation. The flux phase relaxation time, Zq, and the temperature phase relaxation time,τt, were calculated from the temporal variations of the energy flux and temperature distribution in the film. Comparisons of the MD temperature profiles with temperature profiles predicted by Fourier＇s law show that Fourier＇s law is not able to predict the temperature variations with time. Different film thicknesses were also studied to illustrate the variation of the time needed for the films to reach steady-state temperature profiles after a sudden temperature rise at one surface and to illustrate the finite speed of the energy waves.     

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。     

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.     

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 con- duction 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.     

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.     

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.     

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.     

非傅里叶导热现象的双元相滞后模型剖析

针对实验观察到的多孔材料内的非傅里叶导热现象,采用双元相滞后（Dual-phaseLag)模型来描述多孔材料内的非傅里叶导热过程并进行了数值求解,求解结果表明,若τT和τq取值恰当,双元相滞后模性地预测实验型可以定后观察到的非傅里叶导热现象;变化τT和τq的相对数值,介质中的非傅里叶导热将表现为不同的形式,据此,文中对非傅里叶导热进行了较为全面的定义,指出了非傅里叶导热与传统意义上的热波并非等价。     

热传导界面问题的一种神经网络算法

本文讨论了一种单隐层神经网络算法在数值求解热传导界面问题中的应用。该算法设定含有神经网络函数的近似解满足初边值条件和Dirichlet 界面条件,通过求解由原方程导出的关于神经网络权重的离散优化问题来训练近似解中的神经网络,以使近似解逼近真解。文中也给出了一种基于随机梯度法思想的类随机梯度法来求解相应的离散优化问题。数值算例验证了算法的有效性。     

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.     

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。     

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.     

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 .     

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.     

多交界面热传导方程模型的数值解与参数估计

本文研究了多交界面热传导模型的数值解以及参数估计. 首先,本文运用有限差分法对传热方程和交界面条件进行离散化,将其转换为三对角型线性方程组.然后,基于追赶算法所给出的线性方程组数值解,本文建立了方程参数的非线性规划模型,并设计自适应粒子群优化算法（Particle Swarm Optimization,PSO）. 本文提出的自适应PSO算法对惯性因子实施一种自适应的非线性递减调整策略,以避免群体过早陷入局部极值、提升粒子的寻优精度. 最后,本文以仿真实验比较了自适应PSO算法、标准PSO算法及经典的非线性优化算法如AS（Active Set）算法,IP（Interior Point）算法和SQP算法在参数估计时的性能差异.     

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。     

基于MFC的墙体导热系数辨识程序设计

编制适用于夏热冬冷地区现场快速检测墙体导热系数的辨识软件。基于ARMAX的墙体热特性时间序列模型,利用系统辨识原理,通过现场检测实验结果,辨识室内壁面墙体热流,得出墙体的导热系数。针对传统的遗传算法收敛过早、个体不丰富的缺点,提出改进原则,制定改进的遗传算法辨识过程,分析面向对象的编程的特点,用Visual C++语言编制基于MFC的辨识程序。研究结果表明:壁面热流密度辨识的相对误差为4%左右,辨识速度快,程序界面友好。     

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.