Bianchi Type-V Magnetized String Cosmological Model with Variable Magnetic Permeability for Viscous Fluid distribution

We investigate the Bianchi type-V magnetized string cosmological model with variable magnetic permeability for viscous fluid distribution. The magnetic field is due to an electric current produced along the x-axis. Thus the magnetic field is in yz-plane and F23 is the only non-vanishing component of electromagnetic field tensor Fij. To obtain the deterministic model in terms of cosmic time t, we assume the condition ξθ const where ξ is the coefficient of bulk viscosity and θ the expansion in the model.     

Liquid Film on Unsteady Stretching Sheet with General Surface Temperature and Viscous Dissipation

We study the effects of viscous dissipation on flow and heat transfer in a thin liquid film on an unsteady stretching sheet. A general surface temperature is taken into consideration. The velocity and temperature fields are solved using the homotopy analysis method. The results show that the increasing values of the Eckert number can increase temperature distribution and the heat transfer rate.     

含气量对空泡脉动特性影响的理论研究

分析了含气量对粘性液体中球形单空泡脉动特性的影响。研究结果表明：随着泡内初始含气量的增加,空泡达到最大泡半径的时间延长;空泡膨胀的最大泡半径、收缩的最小泡半径和脉动周期均随初始含气量的增加而增加;同时,空泡膨胀和溃灭时泡壁的运动速度均随空泡初始含气量的变化而变化。无论含气量如何,在空泡收缩到最小泡半径附近,泡壁运动速度（收缩或膨胀）要明显快于其在最大泡半径附近;此外,受液体粘性影响,空泡膨胀和收缩过程明显变缓。     

Viscosity approximation methods for nonexpansive multimaps in Banach spaces

We prove strong convergence of the viscosity approximation process for nonexpansive nonself multimaps. Furthermore, an explicit iteration process which converges strongly to a fixed point of multimap T is constructed. It is worth mentioning that, unlike other authors, we do not impose the condition ＂Tz = {z}＂ on the map T.     

偶数维空间耗散波动方程解的衰减估计

研究偶数维空间带粘性的波动方程柯西问题解的逐点估计.通过对格林函数的精细分析,得到解的大时间状态.解呈现出惠更斯现象.     

图像修复中BSCB模型的粘性分析

考虑图像修复中BSCB方程和变形的BSCB方程组的粘性问题.运用半群理论,得到粘性BSCB方程光滑解的存在唯一性.此外,利用粘性消失方法还得到:当粘性系数v→0时,粘性变形的BSCB方程组的解在经典意义下收敛到变形的BSCB方程组的解.     

简易型微流控芯片捕获循环肿瘤细胞的研究

本研究以循环肿瘤细胞(乳腺肿瘤细胞)为研究对象,以聚二甲基硅氧烷(PDMS)、双面粘性薄膜(DSA)、玻片为原材料,采用激光雕刻技术制作微流控芯片,结合巯基-马来酰亚胺基团硅烷化偶联法和免疫荧光技术进行芯片内捕获检测实验,并使用外周血肿瘤细胞来验证此微流控芯片的实用性,使用具有高速摄像功能的荧光显微镜进行镜下观察及拍摄. 成功构建了一种简易型微流控芯片系统,利用此系统可实现对乳腺肿瘤细胞(92±3)%的捕获率,对外周血肿瘤细胞(88±3)%的捕获率,而且芯片的制作工艺简单,对实验仪器要求低,1 min内即可制作完成,简化了制作过程,弥补了传统光刻工艺复杂繁琐的不足,为临床检测疾病的发生与发展提供了新的研究方向.     

Reflection and refraction of attenuated waves at boundary of elastic solid and porous solid saturated with two immiscible viscous fluids

The propagation of elastic waves is studied in a porous solid saturated with two immiscible viscous fluids.The propagation of three longitudinal waves is represented through three scalar potential functions.The lone transverse wave is presented by a vector potential function.The displacements of particles in different phases of the aggregate are defined in terms of these potential functions.It is shown that there exist three longitudinal waves and one transverse wave.The phenomena of reflection and refraction due to longitudinal and transverse waves at a plane interface between an elastic solid half-space and a porous solid half-space saturated with two immiscible viscous fluids are investigated.For the presence of viscosity in pore-fluids,the waves refracted to the porous medium attenuate in the direction normal to the interface.The ratios of the amplitudes of the reflected and refracted waves to that of the incident wave are calculated as a nonsingular system of linear algebraic equations.These amplitude ratios are used to further calculate the shares of different scattered waves in the energy of the incident wave.The modulus of the amplitude and the energy ratios with the angle of incidence are computed for a particular numerical model.The conservation of the energy across the interface is verified.The effects of variations in non-wet saturation of pores and frequencies on the energy partition are depicted graphically and discussed.     

基于子网格边界近似Riemann解的人为粘性方法

在交错网格型Lagrange(拉格朗日)流体力学算法中,通常采用人为粘性捕捉激波,人为粘性的好坏对于计算结果至关重要.研究了一种基于子网格边界处近似Riemann解的新型人为粘性.新人为粘性能够满足动量守恒和熵不等式.利用子网格边界速度差中引入的限制器,新人为粘性能够区分激波和等熵压缩,并能满足球对称问题中的波面不变性.新人为粘性在典型模型数值模拟及惯性约束聚变黑腔整体数值模拟中取得了较好的结果.     

基于涡粘性模型的翼型湍流流场熵产率计算

利用有限体积法实现了基于非正交同位网格的SIMPLE算法。基于熵分析方法,采用涡粘性模型求解湍流熵产方程,系统研究了湍流模型对二维翼型绕流流场熵产率的影响。通过计算NACA0012翼型在来流雷诺数为2.88×10⁶时,0°攻角~16.5°攻角范围内的翼型表面压力系数分布和升阻力特性,验证了算法及程序的正确性。结果表明,选择不同湍流模型时,翼型流场熵产的计算结果存在差异,湍流耗散是引起流场熵产的主要原因;翼型流场的熵产主要发生在翼型前缘区、壁面边界层和翼型尾流区域,流场熵产率与翼型阻力系数线性相关;当产生分离涡时,粘性耗散引起的熵产下降。