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…     

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.     

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

Based on the method of separation variables with addition developed in recent years, new methods of separation variables are proposed, and two algebraically explicit analytical solutions to the general partial differential equation set of non-Fourier and non-Fick heat and mass transfer in porous media drying are derived. The physical meaning of these solutions is simple and clear, and they are valuable for computational heat and mass transfer as benchmark solutions.     

Explicit analytical solutions of non-Fourier heat conduction equation for IC chip

Four basic explicit analytical solutions of non-Fourier heat conduction equation simulating IC chip thermal condition are derived. Some other analytical series solutions can also be derived with the above-mentioned basic solutions. Analytical solution has its own irreplaceable important meaning in theory. In addition, as the standard solution to check the accuracy, convergence and effectiveness of various numerical computational methods and their differencing schemes, grid generation ways and so on, the analytical solution is very useful also for the newly rapidly developing computational heat transfer.     

An analytical solution of non-Fourier Chen-Holmes bioheat transfer equation

An algebraically explicit analytical solution with heat wave effect is derived for the non-Fourier bioheat transfer Chert-Holmes model. Besides its important theoretical meaning （for example, to expand the understanding of heat wave phenomena in living tissues）, this analytical solution is also valuable as the benchmark solution to check the numerical calculation and to develop various numerical computational approaches.     

多孔介质对流干燥过程数值模拟

为研究含湿毛细孔介质干燥过程的相变现象,建立了相变的传热传质数学模型.模型中以残余饱和度将多孔介质划分为湿区与干区,湿区和干区以“蒸发界面”动态边界相互耦合.用有限差分方法对多孔介质一维干燥过程进行了计算,数值解表明:干区是等速干燥与降速干燥的分界点;干燥初期多孔介质压力升高,温度下降;随后在等速干燥段温度分布保持不变,在出现干区时再度升高.干区出现的初期,蒸发界面向多孔介质内部推进的速度较慢,在到达介质厚度10%左右时出现转折,随后推进速度加快.     

含湿多孔介质传热传质三参数渗流模型研究方法

回顾了含湿多孔介质传热传质模型的发展，系统地介绍了三参数渗流模型概括的基本传递机制和物性数据，特别是松散介质的物性数据的获取方法。以埋管周围砂土内的传热传质动态过程研究为例，给出了不同边界条件的描述，介绍了介质物性数据及初始温度、含湿饱和度等的确定方法。最后，给出了常功率加热条件下，浅埋水平管道周围温度、含湿饱和度以及压力分布变化情况     

织物热湿传输机理模型研究

综述了织物的热湿传输机理模型的发展，介绍了服装面料的热湿传输过程；在此基础上，结合织物的传输特性，获得了以大气压力、湿分、温度为参数的三参数织物热湿传输模型。与现有的织物热湿传输模型不同，该模型从宏观上考虑了纤维的解吸等温特性对织物特性参数的影响，并且考虑到了毛细压力、重力、大气压力、蒸发凝结等作用下的气、液传输，以及气液流动、辐射对温度分布的影响。最后给出了一个算例，分析了其合理性。     

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…     

非饱和含湿多孔介质传热传质的渗流模型研究

综述了非饱和含湿多孔介质传热传质模型研究的发展。从多相渗流和扩散迁移机制出发建立以温度、压力和饱和度为基本变量的实用化三参数模型。该模型由一组描述水－汽质量守恒、空气质量守恒和能量守恒的非线性偏微分方程组成。利用该模型对埋管的热过程、砂土物性测量、毛细滞后现象、回湿过程、突发高温作用下多孔介质内部的传热传质过程和冻融过程进行了研究。为了模型的进一步应用,仍需对束缚水饱和度以下毛细压力与饱和度的关系、导热系数的影响因素及其获取方法、非饱和多孔介质传热传质的边界效应和滞后效应的物理机理等方面深入研究。非饱和多孔介质中溶质的运移更是一个饶有意义的研究课题。     

考虑两相影响的PEMFC内部传递过程三维模拟

针对常规流场的质子交换膜燃料电池提出了三维非等温数学模型,在考虑水相变的情况下对电池内部传热传质和电化学反应进行了数值模拟,分析了多孔介质内水蒸气凝结和液态水分布对传递过程和电池性能的影响,并同单相模拟结果进行了对比.计算表明,水蒸气的凝结在降低多孔介质渗透性的同时,加强了反应气体向反应界面的传递;两种模型在高电流密度下阳极均缺水严重,需要更好的水管理;单相模型由于忽略了水蒸气的凝结,实际低估了电池的欧姆极化.     

喷水室热质交换方程组的显式解

利用常微分方程研究喷水室热质交换方程组的解，得到了各断面空气的干球温度和含湿量及水温之间的关系式，得出了喷水室热质交换方程组用初等函数表示的显式解，给出了各种状态参数情形下解的表达式．它们或以二次多项式的形式变化，或以指数的形式变化，或介于它们中间，表示式中既有指数部分也有一次多项式部分．     

Explicit analytical solutions of axisymmetric laminar natural convection along vertical tubes

There are many natural convection processes in various fields, and it is still valuable to investigate the fluid dynamics and heat transfer of natural convection. The analytical solutions are meaningful in both theoretical investigation and practical applications. Specially, they can be used as the benchmark solutions to check the numerical solutions and to develop numerical differencing schemes, grid generation methods and so on. Two explicit analytical solutions of axisymmetric steady laminar natural convection along a vertical tube with porous wall and between two vertical concentric tubes are derived for better understanding of the flow and heat transfer as well as promoting the computational fluid dynamics and computational heat transfer.     

带有吸收项的多孔介质方程的显式精确解

研究了一类带有吸收项的多孔介质方程.借助于分离变量方法获得了两个具有吸收项的多孔介质方程的一些显式精确解析解,这些解既有整体光滑解,也包括在有限时间内爆破的局部解.进一步考察了所得解的渐近性态和爆破解的爆破时间跨度的上界.     

基于孔喉模型的多孔介质对流换热系数的分形研究

多孔介质作为一种良好的蓄热和换热材料,在工农业生产中有着广泛应用,获取准确和适用范围广的多孔介质对流换热系数有重要的研究价值。本文先介绍了多孔介质分形理论基础,然后基于多孔介质孔喉模型并结合分形理论、渗流理论及对流换热理论对多孔介质对流换热系数关联式进行理论推导,最后将得出的对流换热系数与传统对流换热系数进行对比并进行了修正。修正后的分形解与传统解比较一致,在孔隙率0.25~0.5的范围偏差较小,而其形式也验证了外部绕流比内部管流更接近多孔介质流动本质。     

不同分子量聚合物溶液在多孔介质中的渗流特性研究

通过岩心流动实验,探讨了部分水解聚丙烯酰胺溶液(HPAM)在多孔介质中流动时聚合物分子量和孔隙特征参数对流动行为的影响,得到了一组反映流动参数变化规律的关系曲线。结果表明,在消除黏度效应条件下,高分子量聚合物比低分子量聚合物降低水相渗透率的能力强;聚合物分子量越高,多孔介质渗透率越低,阻力系数和残余阻力系数越大,聚合物越早突破多孔介质;当平均孔隙半径与聚合物分子尺寸之比大于4时,多孔介质的孔隙通道一般不会发生聚合物堵塞.     

Algebraically explicit analytical solutions of unsteady conduction with variable thermal properties in cylindrical coordinate

The analytical solutions of unsteady heat conduction with variable thermal properties(thermal conductivity,density and specific heat are functions of temperature or coordinates)are meaningful in theory.In addition,they are very useful to the computational heat conduction to check the numerical solutions and to develop numerical schemes,grid generation methods and so forth.Such solutions in rectangular coordinates have been derived by the authors.Some other solutions for 1-D and 2-D axisymmetrical heat conduction in cylin drical coordinates are given in this paper to promote the heat conduction theory and to develop the relative computational heat conduction.     

初始非饱和多孔物料对冷冻干燥影响理论分析

为提高过程的经济性,提出了液体物料初始非饱和冷冻干燥的技术思想.推导了冷冻干燥质、热耦合传递模型,模型采用了新的吸附-解吸平衡关系,并考虑了吸湿效应.控制方程用有限容积法进行数值求解.待干水溶液中的溶质选用典型的药物赋形剂———甘露醇.结果表明,初始非饱和多孔物料能够显著减少干燥时间,达到强化冷冻干燥的目的.随初始孔隙率ε0(1-S0)的不断增大,干燥时间逐渐缩短;在物料初始饱和度S0为0.30~0.35时,干燥时间达到最短.依据干燥过程中饱和度和温度的分布,分析了物料内部质、热传递机理和干燥速率控制因素.对有效质量扩散系数KS和有效导热系数λ+KTΔH的分析显示,随着冷冻干燥的进行,物料瞬时孔隙率ε0(1-S)不断增大,过程将由传质控制逐渐变为传热控制.     

用格子Boltzmann研究多孔介质内的自然对流换热问题

用格子Boltzmann方法研究了方腔内二维多孔介质由于不均匀温度分布产生的浮力效应而引起的自然对流传热问题.通过数值模拟得到了多孔介质内流体的流场和温度场.详细讨论了孔隙度对自然对流传热的影响,并对孔隙度变化情况下的自然对流传热问题也进行了探讨.研究结果表明,在孔隙度恒定,且Da数比较小(≤10-6)的情况下,当Ra数较低时,孔隙度对自然对流传热的影响很小,当Ra数足够大时需要考虑孔隙度变化的影响;而在Da数较大(≥10-2)情况下,孔隙度对自然对流传热的影响非常明显.在孔隙度线性变化情况下,中间孔隙度c对自然对流传热有一定的影响,且对流与传热随着c的增大而变得剧烈.