Analytical solution of a double moving boundary problem for nonlinear flows in one-dimensional semi-infinite long porous media with low permeability简

Based on Huang＇s accurate tri-sectional nonlin- ear kinematic equation （1997）, a dimensionless simplified mathematical model for nonlinear flow in one-dimensional semi-infinite long porous media with low permeability is presented for the case of a constant flow rate on the inner boundary. This model contains double moving boundaries, including an internal moving boundary and an external mov- ing boundary, which are different from the classical Stefan problem in heat conduction： The velocity of the external moving boundary is proportional to the second derivative of the unknown pressure function with respect to the distance parameter on this boundary. Through a similarity transfor- mation, the nonlinear partial differential equation （PDE） sys- tem is transformed into a linear PDE system. Then an ana- lytical solution is obtained for the dimensionless simplified mathematical model. This solution can be used for strictly checking the validity of numerical methods in solving such nonlinear mathematical models for flows in low-permeable porous media for petroleum engineering applications. Finally, through plotted comparison curves from the exact an- alytical solution, the sensitive effects of three characteristic parameters are discussed. It is concluded that with a decrease in the dimensionless critical pressure gradient, the sensi- tive effects of the dimensionless variable on the dimension- less pressure distribution and dimensionless pressure gradi- ent distribution become more serious; with an increase in the dimensionless pseudo threshold pressure gradient, the sensi- tive effects of the dimensionless variable become more serious; the dimensionless threshold pressure gradient （TPG） has a great effect on the external moving boundary but has little effect on the internal moving boundary.     

ACOUSTOELASTIC THEORY FOR FLUID-SATURATED POROUS MEDIA

Based on the finite deformation theory of the continuum and poroelastic theory, the aeoustoelastic theory for fluid-saturated porous media （FSPM） in natural and initial coordi- nates is developed to investigate the influence of effective stresses and fluid pore pressure on wave velocities. Firstly, the assumption of a small dynamic motion superimposed on a largely static pre- deformation of the FSPM yields natural, initial, and final configurations, whose displacements, strains, and stresses of the solid-skeleton and the fluid in an FSPM particle could be described in natural and initial coordinates, respectively. Secondly, the subtraction of initial-state equations of equilibrium from the final-state equations of motion and the introduction of non-linear constitu- rive relations of the FSPM lead to equations of motion for the small dynamic motion. Thirdly, the consideration of homogeneous pre-deformation and the plane harmonic form of the small dynamic motion gives an acoustoelastic equation, which provides analytical formulations for the relation of the fast longitudinal wave, the fast shear wave, the slow shear wave, and the slow longitudinal wave with solid-skeleton stresses and fluid pore-pressure. Lastly, an isotropic FSPM under the close-pore jacketed condition, open-pore jacketed condition, traditional unjacketed condition, and triaxial condition is taken as an example to discuss the velocities of the fast and slow shear waves propagating along the direction of one of the initial principal solid-skeleton strains. The detailed discussion shows that the wave velocities of the FSPM are usually influenced by the effective stresses and the fluid pore pressure. The fluid pore-pressure has little effect on the wave velocities of the FSPM only when the components of the applied initial principal solid-skeleton stresses or strains are equal, which is consistent with the previous experimental results.     

叶片双层冷却单元的修正一维模型EI北大核心CSCD

本文针对单排冲击冷却和气膜冷却组成的单元结构进行了三维和一维数值研究。通过三维耦合计算分析了双层冷却单元的金属温度分布特性,提出热流比作为修正参数,并将气膜神经网络预测方法引入一维程序。结果表明,神经网络预测对于近孔区域气膜冷却预测更合理;内冷结构换热面积比较大时内外热流比是一维预测的重要参数;校验后的一维程序对单元冷却结构预测较好。     

双Loop-Stub侧边耦合波导结构多重等离激元诱导透明效应的数值分析

研究同侧、异侧和反对称双loop-stub(LS)谐振腔侧边耦合波导结构中的多重类电磁诱导透明效应,并利用有限元方法分别对这三种结构的光学透射特性进行数值模拟。结果表明,这三种结构的透射谱、磁场分布和色散强烈地依赖结构参数。着重讨论双LS谐振腔相邻两个stub腔的距离或两个水平分支的距离对透射特性的影响。随着距离的减小,两个LS腔之间的耦合增强,出现多个透射峰和透射谷(即阻带),多重类电磁诱导透明效应显著。此外,讨论了同侧双LS腔波导结构相邻两个stub腔的距离为零时,竖直分支宽度、水平分支宽度、总水平分支长度等参数对透射谱的影响。侧边耦合金属纳米波导结构在未来的集成光学有潜在的应用价值,如滤波器、传感器和慢光装置等。     

颗粒介质中的粘滞系数

将颗粒介质看成是等效均匀介质, 其中的声衰减系数和声速等于该颗粒介质中的相应的量值(它们可由作者的理论给出), 等效静态密度可以用二元混合规则求得. 此外, 根据浓颗粒介质中相互作用的声传播理论, 当入射波为平面波时, 相互作用的次级波仍然是平面波. 在这样的情况下, 可以将三维非线性方程组简化为一维情况, 从而算得浓颗粒介质中的粘滞系数, 结果表明, 颗粒介质中的粘滞系数不仅依赖于颗粒的体积分数而且还与频率有关. 根据推导过程可知, 对比于爱因斯坦理论所能应用的限制, 本文的结果可以更广泛地应用于实际介质.     

降低表面等离子激元寄生吸收损失的途径研究

从纳米Ag颗粒表面等离子激元光学及表面高能电场特性两方面入手,较为系统地研究了周围介质的导电特性对表面等离子激元的影响.通过对复合薄膜紫外-可见-近红外光谱及表面增强拉曼散射光谱的分析,指出绝缘性的Al₂O₃介质薄膜能够起到良好的表面电场定域效果,且不会引入附加的光吸收损失;而导电性的ITO薄膜则会引入表面价电子的溢出损失,加速了表面电场的衰逝,同时引起长波方向上显著的光吸收损失.研究还表明致密的Al₂O₃介质薄膜能够起到良好的屏蔽作用,且纳米Ag颗粒表面等离子激元特性仅受最近邻材料特性的影响.研究结果为在硅基薄膜太阳电池中实现对纳米Ag颗粒的阻挡、寄生光吸收损失的降低以及表面高能电场的利用,提供了一条有效的解决途径.     

Airy光束在Kerr介质中的传输特性

通过对非线性薛定谔方程的研究,得出Airy光束在Kerr介质中的崩塌功率及有效束宽演化的解析表达式。经过数值计算发现,Airy光束在聚焦的Kerr介质中,其主瓣在开始传播时始终是会聚的;当输入功率小于临界崩塌功率时,Airy光束主瓣的中心部分出现局部崩塌。在不同的Kerr介质中, Airy光束的形状和传输轨道均能保持不变,如同在自由空间中传播,但光场大小的分布,随着不同的Kerr介质会发生改变:在Kerr的聚焦介质中,光场向中心聚焦;而在散焦的Kerr介质中,光场会发散。     

CICC中摩擦因子准则关系式的研究进展及在EAST超导磁体中的运用

介绍了CICC中摩擦因子准则关系的发展历程。在EAST超导磁体的流量模拟中,运用了修正的Kathed-er关系式和多孔介质模型关系式,并与实验测量值进行了比较。     

Research on a middle infrared and long infrared dual-band laser

We propose a continuous-wave(CW)middle infrared(MIR)and long infrared(LIR)dual-band laser for the calibration and effect research of infrared detecting and imaging systems.A total output power of 18 W is achieved by the proposed dual-band laser through one DF gain medium module and one parallel placed CO2 gain medium module using a common stable resonator and output mirror with nominal transmissivities of ～5%in the MIR band and～10%in the LIR band.Spectra of dual-band laser are acquired.The power extracting efficiency of this dual-band laser can be significantly improved,as validated by a single-band test of optimized parameters.     

级联亚波长平面介质栅偏振分束器研究

提出了一种纳米厚度金属层连接的级联亚波长平面介质光栅三明治结构,利用该结构中纳米金属连接层上下界面处的表面等离子共振的互作用形成多波长共振的特点设计了适用于光通信波段（1 300～1 600nm）高性能的宽带偏振器和宽带偏振分束器。利用严格耦合波理论分析发现偏振分束器带宽主要由金属连接层厚度控制,光栅厚度基本不影响偏振分束器带宽,只影响共振深度和共振波长。该结论为后续的制备提供了理论指导和借鉴作用。