多孔介质中化学反应对非等粘流体混合过程影响的格子Boltzmann研究

利用格子Boltzmann方法和GPU计算技术,在孔隙尺度上模拟多孔介质中包含界面化学反应的粘性指进现象,定量分析化学反应对流体混合的影响.采用单浓度变量的双稳态模型来描述界面反应,而各向同性的多孔介质则通过四参数法生成.研究发现化学反应能减小指进界面厚度,抑制流体的混合,甚至会出现反混合现象,并且随着反应速率的增加,影响越明显.     

振动纤维捕集颗粒的格子Boltzmann模拟

采用格子Boltzmann方法对振动纤维捕集颗粒进行数值研究.纤维附近采用多块网格加细技术计算,颗粒采用Lagrange跟踪方法模拟.研究雷诺数为200的流向振动纤维绕流的AⅡ、AⅢ、AIV、S四种涡结构下的亚微米煤粉颗粒的捕集问题.结果表明纤维的流向强迫振动能够显著提高颗粒的捕集效率.且迎风面的捕集效率提升不大,背风面的提升则更为显著.颗粒撞击角度的统计反映了背风面捕集效率提升的细节.另外流动处于AⅢ模态时,每个周期内脱落两个正涡一个负涡,被捕集颗粒的初始位置分布不对称.而其它模态基本关于流场中心对称.     

A twist condition and periodic solutions of Hamiltonian systems

In this paper, we investigate existence of nontrivial periodic solutions to the Hamiltonian system

(HS)     

Kinetic theory based lattice Boltzmann equation with viscous dissipation and pressure work for axisymmetric thermal flows

A lattice Boltzmann equation (LBE) for axisymmetric thermal flows is proposed. The model is derived from the kinetic theory which exhibits several features that distinguish it from other previous LBE models. First, the present thermal LBE model is derived from the continuous Boltzmann equation, which has a solid foundation and clear physical significance; Second, the model can recover the energy equation with the viscous dissipation term and work of pressure which are usually ignored by traditional methods and the existing thermal LBE models; Finally, unlike the existing thermal LBE models, no velocity and temperature gradients appear in the force terms which are easy to realize in the present model. The model is validated by thermal flow in a pipe, thermal buoyancy-driven flow, and swirling flow in vertical cylinder by rotating the top and bottom walls. It is found that the numerical results agreed excellently with analytical solution or other numerical results.     

Nodal type bound states of Schrödinger equations via invariant set and minimax methods

For nonlinear Schrödinger equations in the entire space we present new results on invariant sets of the gradient flows of the corresponding variational functionals. The structure of the invariant sets will be built into minimax procedures to construct nodal type bound state solutions of nonlinear Schrödinger type equations.     

Heptyl α‐D‐Mannosides Grafted on a β‐Cyclodextrin Core To Interfere with Escherichia coli Adhesion: An In Vivo Multivalent Effect

n‐Heptyl α‐D ‐mannoside (HM) has previously been identified as a nanomolar FimH antagonist able to prevent Escherichia coli adhesion. We have designed mono‐ and heptavalent glycoconjugates in which HM is tethered to β‐cyclodextrin (β‐CD) through short and long spacers. One‐pot click or co‐clicking procedures were developed to directly obtain the glycoconjugates from unprotected HM and β‐CD precursors. These FimH antagonists were examined biophysically and in vivo. Reverse titrations by isothermal calorimetry led to trapping of the short‐tethered heptavalent β‐CD in a complex with three FimH lectins. Combined dynamic light scattering and small‐angle X‐ray solution scattering data allowed the construction of a model of the FimH trimer. The heptavalent β‐CDs were shown to capture and aggregate living bacteria in solution and are therefore also able to aggregate FimH when attached to different bacteria pili. The first in vivo evaluation of multivalent FimH inhibitors has been performed. The heptavalent β‐CDs proved to be much more effective anti‐adhesive agents than monovalent references with doses of around 2 μg instilled in the mouse bladder leading to a significantly decreased E. coli load. Intravenously injected radiolabeled glycoconjugates can rapidly reach the mouse bladder and >2 μg concentrations can easily be retained over 24 h to prevent fluxing bacteria from rebinding.     

A coupled lattice BGK model for the Boussinesq equations

In this paper, a thermal lattice BGK model is developed for the Boussinesq incompressible fluids. The basic idea is to solve the velocity field and the temperature field using two independent lattice BGK equations, respectively, and then combine them into one coupled model for the whole system. The porous plate problem and the two‐dimensional natural convection flow in a square cavity with Pr=0.71 and various of Rayleigh numbers are simulated using the model. The numerical results are found to be in good agreement with the analytical solutions or those of previous studies. Copyright © 2002 John Wiley & Sons, Ltd.     

Contractibility of level sets of functionals associated with some elliptic boundary value problems and applications

Assume that I is the functional defined on the Hilbert space concerning the problem: in and u on , where f is sublinear at and superlinear at 0, that is, , and is the first eigenvalue of in . Under very general conditions, I has at least two local minimizers u ₁ and u ₂ and one mountain pass point u ₃ , and . Assuming that u ₁ , u ₂ and u ₃ are the only three nontrivial critical points of I, we prove that the level set I _b is contractible for all . Using this conclusion, we extend one of Hofer's result concerning existence of four nontrivial solutions of the above problem to the case where I is not and the trivial critical point 0 may be degenerate. Since I is not , the local topological degree and the critical groups of u ₃ can not be clearly computed. The lack of topological information about 0 and u ₃ makes it impossible to use topological degree theory or Morse theory in obtaining the fourth nontrivial solution. To overcome these difficulties, we explore a new technique in this paper.