Explicit analytical solutions of the coupled differential equations for porous material drying

Some explicit analytical solutions are derived for the coupled partial differential equation set describ-ing porous material drying with two extraordinary methods proposed by the authors, I.e. The method of separating vari-ables by addition and the method of evaluating the source term in reverse order. Besides their theoretical meaning, these solutions can also be the standard solutions for the computational solutions of heat and mass transfer.     

Explicit analytical solutions of the coupled differential equations for porous material drying

Some explicit analytical solutions are derived for the coupled partial differential equation set describing porous material drying with two extraordinary methods proposed by the authors, i.e. the method of separating variables by addition and the method of evaluating the source term in reverse order. Besides their theoretical meaning, these solutions can also be the standard solutions for the computational solutions of heat and mass transfer.     

逆算符法求解非线性电路的近似解析解

非线性电路通常应用数值法来求得数值解,难以求得解析解.逆算符法是一种求解强非线性问题的近似解析法,本文应用逆算符法求解了一阶非线性电路响应的近似解析解.结果表明,该方法简便易行,操作简单,且解分量之间遵循相同的运算规则,易于在计算机上实现自动符号推导及运算,是一种分析非线性电路的有效方法.     

Algebraically explicit analytical solutions of two-buoyancy natural convection in porous media

Heatandmasstransferinporousmediaisanim portantprocessinmanyfieldssuchasin petroleumandgeothermalreservoirengineering ,thermaltech niqueinbuilding ,nuclearreactordesign ,environ mentprotection ,castingtechnology ,dryingtechnol ogyandsoforth .Itisnecessarytoresearchsuchphe nomenaindepth .Thetwo buoyancynaturalconvectioninporousmediawithbothtemperatureandconcentrationgradi entsisstudiedinthispaper.Suchphenomenonhasnotyetbeenresearchedindetail.Thesteadygeomet rically 2 Dgoverningequationsetsofsu…     

Explicit analytical solutions fof transport equations considering non-Fourier and non-Fick effects in porous media

Dryingprocessinporousmediawidelyexistsin manyfieldssuchasenergy,chemistry,biology,medicineandarchitectonics.Researchesintothiskind ofphenomenonaretraditionallybasedonFourierlaw andFicklaw.Thesetwolawsincludethehypotheses ofinfinitepropagationofheatandmassdisturbance,respectively.Suchanapproximateapproachisprecise enoughfortheconventionalunsteadyheatandmass transfer.However,forhighintensiveandrapiddry ingprocess,itcouldleadtoerrorstosomeextent.Therefore,itisnecessarytoconsiderthenon linearrel…     

An analytical solution for VOCs emission from multiple sources/sinks in buildings

An analytical solution is presented to describe the emission/sorption of volatile organic compounds （VOCs） from/on multiple single-layer materials coexisting in buildings. The diffusion of VOCs within each material is described by a transient diffusion equation. All diffusion equations are coupled with each other through the equation of mass conservation in the air. The analytical solution is validated by the experimental data in literature. Compared to the one-material case, the coexistence of multiple materials may decrease the emission rate of VOCs from each material. The smaller the diffusion coefficient is, the more the emission rate decreases. Whether a material is a source or a sink in the case of multiple materials coexisting is not affected by the diffusion coefficient. For the case of multiple materials with different partition coefficients, a material with a high partition coefficient may become a sink. This may promote the emission of VOCs from other materials.     

聚合物溶液改善吸水剖面能力实验研究

针对聚合物驱过程中窜聚影响聚合物驱效果的现象,开展了聚合物溶液在注入过程中和突破后对吸水剖面改善能力的双管并联岩心驱替实验。对比分析了水驱、恒速聚驱和变速聚驱对吸水剖面的影响程度,绘制了填制不同渗透率岩心所用不同粒径石英砂含量配比图;并通过考虑管线和填砂管端面引起的压力损失对室内计算渗透率进行了改进。结果表明:水驱速度小于2 m L/min时,高低渗分流比远大于渗透率级差,大于4 m L/min分流比与级差吻合;恒速聚驱时在聚合物注入过程中能够有效的改善吸水剖面,但一旦产出端见聚,吸水剖面将会迅速翻转。聚驱速度小于2 m L/min时,高低渗分流比也大于渗透率级差;但比水驱影响小很多。大于4 m L/min时与水驱相同,合理控制注聚速度对聚合物驱提高采收率意义重大。     

考虑非线性二次梯度项的不稳定渗流解析解及其应用

在常规的地下流体渗模型求解过程中,为了简化计算,一般忽略渗流连续方程的二次梯度项。但是,在一些对求解精度要求高的渗流问题中,如果忽略渗流连续方程的二次梯度项,将产生显著的误差。使用了Boltzman变换和常数变易法,导出了无限大地层的解析解。对考虑二次梯度项与忽略该项的解进行差异分析。结果表明:随着时间、产量的增大,渗透率的降低,差异有变大的趋势。而随半径的减小,差异也有变大的趋势。最后,对解析解进行简化,导出了可以用于试井分析的简化公式。     

空腔球体热冲击问题的一种求解方法

空腔球体内温度发生突然变化时，球体内各点将同时呈现动应力。由于应力波在内外边界处的反射效应，这时将在空腔球体内产生很高的动应力。该文利用一种解析方法求解空腔政治协商会议体内的热动应力的响应和分布规律。     

基于Chebyshev配置点谱方法的多孔介质平板通道内的流体流动数值模拟

本文基于Chebyshev配置点谱方法,利用数值模拟研究了多孔介质平板通道内的流体流动问题。针对动量方程的离散,空间上采用Chebyshev配置点谱方法,时间上采用准隐式格式离散,结合改进的投影算法(IPS)将速度和压力的计算解耦为一系列椭圆方程(泊松方程或亥姆霍兹方程),转换椭圆方程为矩阵方程形式后利用二步求解法求解矩阵方程。通过MATLAB编程实现对多孔介质平板通道内的流体流动问题的数值模拟并验证了程序的准确性。在此基础上,讨论了达西数(Da),雷诺数(Re)以及孔隙率(ε)对多孔介质平板通道内流体的速度分布、边界层厚度及入口长度的影响。     

Approximate solution for nonlinear model of the second and half order reactions in porous catalyst by decomposition method

The problem of the process of coupled diffusion and reaction in catalyst pellets is considered for the case of second and half order reactions. The Adomian decomposition method is used to solve the non-linear model. For the second, half and first order reactions, analytical approximate solutions are obtained. The variation of reactant concentration in the catalyst pellet and the effectiveness factors at φ＜10 are determined and compared with those by the BAND's finite difference numerical method developed by Newman. At lower values of φ, the decomposition solution with 3 terms gives satisfactory agreement with the numerical solution; at higher values of φ, as the term number in the decomposition method is increased, an acceptable agreement between the two methods is achieved. In general, the solution with 6 terms gives a satisfactory agreement.     

Reissner平板裂纹尖端的分区模式及渐近解

探讨了 Ｒｅｉｓｓｎｅｒ平板裂纹尖端的分区模式。在裂纹尖端附近，存在着一个双向快变化应力状态的单参数控制区域，它的解仅仅用特征展开式的主奇异项来描述是不够的。根据傅立叶交换和 Ｗｉｅｎｅｒ－Ｈｏｐｆ方法，获得了该区域内力变形场的解析解，并与外场解进行匹配，论证了当权厚趋于零时Ｉ型问题 Ｒｅｉｓｓｎｅｒ型应力强度因子Ｋ１Ｒ与古典理论意义下的应力强度因子Ｋ１ｃ的正确关系为：     

横截面为三角形的半导体量子线结构的弹性解

在半导体异质微纳米结构中,晶格失配和热失配等因素引起的弹性场对结构的光学和电学等物理性能产生重要影响.研究了晶格失配和热失配在半导体量子线结构中所产生的弹性场,在分析圆柱形量子线结构弹性场的基础上,推导得到了任意截面形状量子线结构解的一般形式,并给出无限大基体内横截面为三角形量子线结构的解析结果.该结果可为进一步研究弹性场对半导体量子线结构物理性能的耦合作用打下必要的基础.     

宝钢2030酸洗机组中拉矫机和平整机的延伸率分配

为了研究宝钢2030新酸洗机组中钢板的总延伸率在拉矫机和平整机之间的合理分配,主要进行了钢板在酸洗前后不同延伸率分配下的力学性能实验,通过多方面分析,最终确定了拉矫机和平整机的延伸率.     

一种有效的数字内容保护系统证书吊销问题解决方案

现有数字内容保护系统在处理设备吊销同题时,都要求在设备中维护一个完整的证书吊销信息列表,对设备存储量的要求很高并且具有可预见的不完备性.本文通过对设备生命周期内所能连接的其他设备的总数加以限制,在设备中只需维护本地的合法设备和不合法设备列表.设备维护的本地列表对存储量的要求是一个小的常数,系统在不增加计算开销的同时可以对吊销信息进行完备处理.所提出的方法可以在家庭网络中统一部署,用来实现对系统吊销问题的统一处理.