A set of Boussinesq-type equations for interfacial internal waves in two-layer stratified fluid

Many new forms of Boussinesq-type equations have been developed to extend the range of applicability of the classical Boussinesq equations to deeper water in the study of the surface waves. One approach was used by Nwogu (1993. J. Wtrw. Port Coastal and Oc. Eng. 119, 618--638) to improve the linear dispersion characteristics of the classical Boussinesq equations by using the velocity at an arbitrary level as the velocity variable in derived equations and obtain a new form of Boussinesq-type equations, in which the dispersion property can be optimized by choosing the velocity variable at an adequate level. In this paper, a set of Boussinesq-type equations describing the motions of the interfacial waves propagating alone the interface between two homogeneous incompressible and inviscid fluids of different densities with a free surface and a variable water depth were derived using a method similar to that used by Nwogu (1993. J. Wtrw. Port Coastal and Oc. Eng. 119, 618--638) for surface waves. The equations were expressed in terms of the displacements of free surface and density-interface, and the velocity vectors at arbitrary vertical locations in the upper layer and the lower layer (or depth-averaged velocity vector across each layer) of a two-layer fluid. As expected, the equations derived in the present work include as special cases those obtained by Nwogu (1993, J. Wtrw. Port Coastal and Oc. Eng. 119, 618-638) and Peregrine (1967, J. Fluid Mech. 27, 815-827) for surface waves when the density of the upper fluid is taken as zero.     

停车收费与拥挤道路收费综合决策研究

停车换乘收费与拥挤道路收费是改善城市交通的有效手段.考虑乘坐公交车,全程自驾车及停车换乘这三种出行方式,给出了停车换乘收费与拥挤道路收费的双层规划模型,证明了模型的一阶条件与出行者的方式选择及路径选择条件等价,并给出了算法.算例分析表明,实行停车收费及拥挤道路收费后,能有效改善道路的拥挤状况,为交通管理部门决策提供了理论依据.     

在溴化钾粉末中掺入大量α-炭化硅压片的异常红外透射光谱研究

在光谱学实践中，通常由于带测样品颗粒在本征吸收峰附近产生可观的附加散射消光，致使表观吸收峰偏离实际位置，从而得到不的光谱，这就是我们常要采取措施尽量避免的克里斯坦森（Christiansen）效,这一就是在制作压片（例如溴化钾）时，待测样品含量要少（少于2％）。在一次实验中，当在KBr粉末中掺入大量（而非正常要求的少许）的α-SiC微粉后，得到了一个在1052.33cm^-1处有一个尖峰的中红外透射谱。我们发现，这个新现象非常有趣，它与克里斯坦森效应表面上相反，但都可用Lorentz色散模型给予精确地解释。于是称它为反克里斯坦森效应，在该效应出现的频率处两种材料的折射率相等，且吸收系数都非常小。这个新现象也非常有意义，它可用来制造新型的带通滤波器以及准确测定某些材料的折射率等。     

双层金属锥形扁壳的非线性热稳定性

本文提出有关双层金属锥形扁壳在均匀温度场作用下的非线性稳定性的一般理论.将双层壳体的基本方程简化为与经典壳体理论相似的形式,通过比拟,以作用于锥形扁壳边界上的均匀分布的相当边界力矩来替换温度效应,采用修正迭代法求解.文中给出了临界跳跃力矩曲线.它对于工程上各种仪表弹性元件的设计具有一定的参考价值.     

Effects of Depolarization Field and Interfacial Coupling on the Polarization of Ferroelectric Bilayers

A ferroelectric bilayer model considering depolarization field and interfacial coupling is proposed and the expression of the depolarization field is derived. The spatial profiles of spontaneous polarization and hysteresis loops are calculated using the numerical method with and without considering the depolarization field. The effects of the depolarization field and interfacial coupling on the polarization of second-order ferroelectric bilayers are studied systematically. When interfacial coupling is ferroelectric coupling, the interface spontaneous polarization increases and the area of hysteresis loop becomes larger with increasing coupling. When interfacial coupling is antiferroelectric coupling, the depolarization field makes the central loop become smaller and the shape of the hysteresis loop becomes steep. Meanwhile, as interfacial coupling increases, the outer loops stretch further out horizontally and the size of the central loop widens.     

关于地球健康的双层耦合网络模型

建立了一个基于平均场动力学的微分方程组和反应—扩散模型的双层耦合网络模型,用来分析、预测及评价地球生物与环境的健康问题。在双层耦合网络模型中,根据地球地理和气候分布,将全球划分为九块区域,并以此作为全球网络的节点;同时,七个具有代表性的反映地球健康状况的元素,如人口密度、森林、空气质量、生物多样性等,被挑选出作为元素网络的节点。再通过平均场动力学微分方程,建立并描述了各个元素间的联系与相互作用;利用数据确定模型参数,从而完善模型,最后,以此模型完成寻找临界点、灵敏度分析、网络结构分析、引入不确定性等工作。     

基于有机双层的双极性有机场效应晶体管研究进展

由双极性有机场效应晶体管(OFETs)制备的有机互补电路具有操作电压低、能耗低和成本低等优点,在有机互补电路方面有很大的应用前景,引起了科学家们极大的研究兴趣.同时具有高且匹配的空穴迁移率和电子迁移率的双极性有机半导体分子是制备高性能有机互补电路的必要条件之一,然而迄今为止该类双极性有机半导体分子的报道比较少,大部分双...     

过渡族元素掺杂BaTiO3-Tb1-xDyxFe2-y层状复合材料中的磁电效应

用溶胶-凝胶法制备1.0%mol Mn,Cr,Co掺杂BaTiO3(BTO)粉体,在1350℃下烧结成多晶陶瓷样品.X射线衍射和差示扫描量热分析表明,室温下掺杂BaTiO3具有四方钙钛矿结构;居里点和相变潜热随Cr,Mn,Co掺杂逐渐降低.将掺杂BaTiO3与Tb1-xDyxFe2-y(TDF)胶合制成双层磁电复合材料,并研究了Cr:BTO-TDF,Mn:BTO-TDF,Co:BTO-TDF层状复合材料中的磁电效应.实验表明,在340×80 A·m-1偏置磁场下,Cr:BTO-TDF的横向磁电电压系数达到最大值586 mV·cm-1·(80 A·m-1-1.在400×80 A·m-1偏置磁场下,Mn:BTO-TDF和Co:BTO-TDF的横向磁电电压系数的最大值分别为480 mV·cm-1·(80 A·m-1-1和445 mV·cm-1·(80 A·m-1-1.研究表明掺杂BaTiO3-TDF层状复合材料中具有较强的磁电耦合.作为无铅压电材料,掺杂BaTiO3制备的磁电效应器件颇具应用前景.