三维有序排列多孔介质对流换热的数值研究

利用CFD软件数值研究了颗粒三维有序堆积多孔介质的对流换热问题. 采用颗粒直径分别为14 mm,9.4 mm和7 mm的球形颗粒有序排列构成多孔介质骨架,在多孔骨架的上方有一恒热流密度的铜板. 采用流固耦合的方法研究了槽通道内温度分布和局部对流换热系数的分布以及对流换热的影响因素. 研究结果表明:热渗透的厚度和温度边界层的厚度在流动方向上逐渐增大,并且随流量的增加而减小;当骨架的导热系数比较高时,对流换热随颗粒直径的减小而略有增大;对流换热系数随聚丙烯酰胺溶液浓度的增大而减小,黏性耗散减弱了对流换热. 关键词： 多孔介质 温度场 局部对流换热系数 数值模拟     

平板热管蒸发段多孔介质内流动和传热分析

通过假定平板热管多孔芯内流体的压力分布,对流动和传热进行了分析,得出结论:边界对于速度分布和流量计算的影响比惯性影响大,对于液层的分布二者影响都很小;多孔介质底部温度分布均匀,热流密度方向基本垂直于边界.     

沉降分布孔隙率多孔介质模型及数值研究

研究沉降分布孔隙率多孔介质流动和传热,根据"O"形圈理论和现场测定确定孔隙率系数,建立坐标方向孔隙率分布函数;考虑流体密度变化,并引入Brinkman-Forchheimer的扩展Darcy模型,能量方程采用界面连续条件,建立沉降分布孔隙率多孔介质流动和传热求解模型.采用差分法对模型进行离散化,应用高斯-赛德尔方法迭代求解.数值分析表明:沉降分布孔隙率条件下多孔介质内流体流动速度在壁面附近较大,中心部位较小,壁面附近孔隙率的增大使得低流速区域减小,较高流速区域增大;当孔隙率小值时,温度按线性减小;当孔隙率大值时,温度在高低温壁面附近迅速减小,在中部减小较缓,热量按导热和对流共同传递;孔隙率增大能使平均怒谢尔数增大,对流换热作用增强.     

冷却倾斜板熔体处理过程边界层分布及流动传热的理论研究

针对倾斜板熔体处理晶粒细化与半固态成形原理,研究了倾斜板熔体处理过程边界层分布,建立了熔体传热和冷却速率的计算模型.计算结果表明,随着斜板倾角和熔体初始流动速度的增大,熔体在倾斜板上从层流向紊流的转变时间减少;温度边界层厚度随着熔体初始流动速度的增加而减小,斜板倾角对温度边界层厚度的影响较小;温度边界层厚度和速度边界层厚度都随熔体流动距离的增加而增大,在层流区,温度边界层厚度远大于速度边界层厚度,而在紊流区,温度边界层厚度与速度边界层厚度重合;倾斜板上熔体冷却速率与熔体厚度成反比,初始流速小于1m/s时,熔体的冷却速率沿着倾斜板长度方向逐渐增大,初始流速为1m/s时,熔体的冷却速率沿倾斜板长度方向基本不变,当初始流速大于1m/s时,熔体冷却速率沿倾斜板长度方向逐渐减小;倾斜板上熔体冷却速率在100—1000 K/s之间,属于亚快速凝固范畴.     

有内热源多孔介质通道中对流换热的研究—精确解

采用Darcy-Brinkman方程描述完全填充多孔介质平行平板通道内流动,分别利用局部非热平衡和局部热平衡模型,得出了温度分布和努塞尔数Nu的表达式。分别讨论了内热源、达西数Da、固相有效导热系数与流体有效导热系数之比κ和毕渥数Bi对无因次温度分布的影响,将两种模型计算得到的努塞尔数进行对比。结果表明,对于特定的参数,壁面处会出现热流分歧现象。达西数很小时,流体内部热源对无因次温度分布几乎无影响。存在内热源时,局部热平衡模型不再适用。     

含内热源多孔介质–自由流通道内非达西强制对流

基于多孔介质局部非热平衡模型,对考虑内热源条件下的多孔介质–自由流耦合通道内非达西对流换热特性进行研究。多孔介质区内流体运动方程采用Darcy-Brinkman-Forchheimer模型,利用有限差分法获得通道内各区域流体运动速度、流固相温度分布及努塞尔数,并进一步分析了相关参数对流体流动传热的影响。结果表明：在文中研究参数下,惯性参数F_f对通道内各区域流体速度及温度分布的影响仅在达西数Da大于10^-3时需要考虑;增加F_f或降低固相内热源W_s绝对值会使流固两相温差减小,且改变固相内热源换热方向会使多孔介质区内流固相发生温度分岔现象;固相内热源对通道换热效果影响较大且更为复杂,不同惯性参数F_f下,考虑W_s时可能会使Nu出现奇异点。     

多孔介质平板通道与空通道的速度分布和温度分布的解析解

建立了平板通道内填充多孔介质和空通道两种情况传热模型,求解动量方程和能量方程的解析解,获得速度分布和温度分布,分析Da数、Bi数、有效导热系数比和孔隙率等参数对温度分布、局部非热平衡程度以及Nu数的影响。计算求解表明,通道内填充多孔介质后流体的速度分布和温度分布更均匀,速度边界层更薄;随着Bi数和有效导热系数比k的增大,θ_s-θ_f的值减小,局部非热平衡程度减弱,Bi越大,θ_s与θ_f越接近,即越接近局部热平衡状态。孔隙率对局部非热平衡程度和Nu数的影响不明显;Nu数随着有效导热系数比k和Da数的减小而增大,随着Bi数和孔隙率的增大而增大,当k1时,变化明显,k1时,变化不明显.     

多孔介质中流体输运的孔尺度SPH模拟

本文采用光滑粒子流体动力学(SPH)方法[1]对流体流过多孔介质的过程进行数值模拟,方法与程序用经典的Poiseuille流与多孔介质流动的Kozeny解进行了验证.PH进一步用于数值模拟跨膜流动,获得了跨膜流动中速度场随时间的演化过程.多孔膜孔径在1 靘到200 靘范围内,流体跨膜渗透速度的SPH结果与K-K方程的计算值吻合较好.文中还讨论了粒子数目与计算精度的关系.本文的计算结果表明SPH方法具有模拟多孔介质微流动的能力.     

细圆管内超临界二氧化碳对流换热的实验研究

本文对超临界压力二氧化碳在内径为1 mm的竖直细圆管中的对流换热进行了实验研究.分析了流体的热流密度、进口温度、质量流量以及流动方向对超临界压力二氧化碳对流换热的影响.实验研究发现,热流密度、进口温度、质量流量以及浮升力对细圆管内对流换热的影响很大,对流换热系数在准临界温度附近存在峰值.在加热的前半段向上流动的对流换热强于向下流动,在加热的后半段则相反.随着热流密度与质量流量比值的不断增加,向上流动与向下流动对流换热强弱转换的交点不断向流体进口方向推移,并且向上流动的壁面温度出现峰值,发生换热恶化,而向下流动则没有出现换热恶化.     

水流经垂直多孔介质同心套管的传热实验研究

本文报道了水向上流经垂直多孔介质同心套管混合对流的传热实验装置和进口段对流换热的实验结果.内装多孔介质的同心套管内热边界层的发展不同于空同心套管,多孔介质对流动的“扰动”明显地影响传热,在热边界层发展段的自然对流影响较大,且随着热边界层的发展其影响逐渐减小.     

Numerical simulation of heat transfer and fluid flow of Water-CuO Nanofluid in a sinusoidal channel with a porous medium

This study has compared the convection heat transfer of Water-based fluid flow with that of Water-Copper oxide (CuO) nanofluid in a sinusoidal channel with a porous medium. The heat flux in the lower and upper walls has been assumed constant, and the flow has been assumed to be two-dimensional, steady, laminar, and incompressible. The governing equations include equations of continuity, momentum, and energy. The assumption of thermal equilibrium has been considered between the porous medium and the fluid. The effects of the parameters, Reynolds number and Darcy number on the thermal performance of the channel, have been investigated. The results of this study show that the presence of a porous medium in a channel, as well as adding nanoparticles to the base fluid, increases the Nusselt number and the convection heat transfer coefficient. Also the results show that As the Reynolds number increases, the temperature gradient increases. In addition, changes in this parameter are greater in the throat of the flow than in convex regions due to changes in the channel geometry. In addition, porous regions reduce the temperature difference, which in turn increases the convective heat transfer coefficient.     

Effects of Thermal Radiation on a 3D Sisko Fluid over a Porous Medium Using Cattaneo-Christov Heat Flux Model

This paper investigates the three-dimensional flow of a Sisko fluid over a bidirectional stretching sheet, in a porous medium. By using the effect of Cattaneo-Christov heat flux model, heat transfer analysis is illustrated. Using similarity transformation the governing partial differential equations are transferred into a system of ordinary differential equations that are solved numerically by applying Nachtsheim-Swigert shooting iteration technique along with the 6-th order Runge-Kutta integration scheme. The effect of various physical parameters such as Sisko fluid, ratio parameter, thermal conductivity, porous medium, radiation parameter, Brownian motion, thermophoresis, Prandtl number, and Lewis number are graphically represented.     

Effects of Thermal Radiation on a 3D Sisko Fluid over a Porous Medium Using Cattaneo-Christov Heat Flux Model

This paper investigates the three-dimensional flow of a Sisko fluid over a bidirectional stretching sheet, in a porous medium. By using the effect of Cattaneo-Christov heat flux model, heat transfer analysis is illustrated. Using similarity transformation the governing partial differential equations are transferred into a system of ordinary differential equations that are solved numerically by applying Nachtsheim-Swigert shooting iteration technique along with the 6-th order Runge-Kutta integration scheme. The effect of various physical parameters such as Sisko fluid, ratio parameter,thermal conductivity, porous medium, radiation parameter, Brownian motion, thermophoresis, Prandtl number, and Lewis number are graphically represented.     

Nonlinear wave interactions in porous media filled with a quantum fluid

The problem of the nonlinear interaction between the fourth sound and an acoustic wave propagating in a porous medium filled with superfluid helium is solved. Based on the Landau equations of quantum fluid dynamics and on the Biot theory of mechanical waves in a porous medium, nonlinear wave equations are derived for studying the aforementioned interaction. An expression is obtained for the vertex that determines the excitation of an acoustic wave by two waves of the fourth sound. The possibility of an experimental observation of this process is estimated.     

Heat Transfer and Entropy in a Vertical Porous Plate Subjected to Suction Velocity and MHD

This article presents an investigation of heat transfer in a porous medium adjacent to a vertical plate. The porous medium is subjected to a magnetohydrodynamic effect and suction velocity. The governing equations are nondepersonalized and converted into ordinary differential equations. The resulting equations are solved with the help of the finite difference method. The impact of various parameters, such as the Prandtl number, Grashof number, permeability parameter, radiation parameter, Eckert number, viscous dissipation parameter, and magnetic parameter, on fluid flow characteristics inside the porous medium is discussed. Entropy generation in the medium is analyzed with respect to various parameters, including the Brinkman number and Reynolds number. It is noted that the velocity profile decreases in magnitude with respect to the Prandtl number, but increases with the radiation parameter. The Eckert number has a marginal effect on the velocity profile. An increased radiation effect leads to a reduced thermal gradient at the hot surface.     

Unsteady MHD Non-Darcian Flow over a Vertical Stretching Plate Embedded in a Porous Medium with Thermal Non-Equilibrium Model

An analysis is performed to study the influence of local thermal non-equilibrium (LTNE) on unsteady MHD laminar boundary layer flow of viscous, incompressible fluid over a vertical stretching plate embedded in a sparsely packed porous medium in the presence of heat generation/absorption. The flow in the porous medium is governed by Brinkman-Forchheimer extended Darcy model. A uniform heat source or sink is presented in the solid phase. By applying similarity analysis, the governing partial differential equations are transformed into a set of time dependent non-linear coupled ordinary differential equations and they are solved numerically by Runge-Kutta Fehlberg method along with shooting technique. The obtained results are displayed graphically to illustrate the influence of different physical parameters on the velocity, temperature profile and heat transfer rate for both fluid and solid phases. Moreover, the numerical results obtained in this study are compared with the existing literature in the case of LTE and found that they are in good agreement.     

含少量气泡流体饱和孔隙介质中的弹性波

考虑孔隙流体中含有少量气泡,且气泡在声波作用下线性振动,研究声波在这种孔隙介质中的传播特性.本文先由流体质量守恒方程和孔隙度微分与流体压力微分的关系推导出了含有气泡形式的渗流连续性方程;在处理渗流连续性方程中的气体体积分数时间导数时,应用Commander气泡线性振动理论导出气体体积分数时间导数与流体压强时间导数的关系,进而得到了修正的Biot形式的渗流连续性方程;最后结合Biot动力学方程求得了含气泡形式的位移场方程,便可得到两类纵波及一类横波的声学特性.通过对快、慢纵波的频散、衰减及两类波引起的流体位移与固体位移关系的考察,发现少量气泡的存在对快纵波和慢纵波的传播特性影响较大.     

Velocity field of wave-induced local fluid flow in double-porosity media

Under the excitation of elastic waves,local fluid flow in a complex porous medium is a major cause for wave dispersion and attenuation.When the local fluid flow process is simulated with wave propagation equations in the double-porosity medium,two porous skeletons are usually assumed,namely,host and inclusions.Of them,the volume ratio of inclusion skeletons is low.All previous studies have ignored the consideration of local fluid flow velocity field in inclusions,and therefore they can not completely describe the physical process of local flow oscillation and should not be applied to the situation where the fluid kinetic energy in inclusions cannot be neglected.In this paper,we analyze the local fluid flow velocity fields inside and outside the inclusion,rewrite the kinetic energy function and dissipation function based on the double-porosity medium model containing spherical inclusions,and derive the reformulated Biot-Rayleigh(BR)equations of elastic wave propagation based on Hamilton’s principle.We present simulation examples with different rock and fluid types.Comparisons between BR equations and reformulated BR equations show that there are significant differences in wave response characteristics.Finally,we compare the reformulated BR equations with the previous theories and experimental data,and the results show that the theoretical results of this paper are correct and effective.     

Low-frequency surface wave propagation along plane boundaries in fluid-saturated porous media

A method of the mechanics of a fluid-saturated porous medium is used to study the propagation of harmonic surface waves along the free boundary of such a medium, along the boundary between a porous medium and a fluid, and along the boundary between two porous half-spaces. It is shown that, at low frequencies (i.e., for waves with frequencies lower than the Biot characteristic frequency), the corresponding dispersion equations in zero-order approximation are reduced to the equations for an “equivalent” elastic medium. For the wave numbers of surface waves, corrections taking into account the generation of longitudinal waves of the second kind at the boundary are calculated. Examples of numerical solutions of dispersion equations for rock are presented.