非等温广义牛顿流体的无网格模拟

基于原始变量法,将RPIM推广到非等温广义牛顿流动问题的求解.为了减少未知量的个数,压力和速度采用罚函数方法耦合;同时采用积分降阶技术以保证获得满意的数值解.数值实验结果表明,采用罚函数法处理速度和压力在无网格方法中同样适用,且RPIM用于非等温广义牛顿流动问题的求解时具有易施加本质边界条件、计算精度高和收敛性较快的优点.     

Exact solutions for unsteady unidirectional flows of a generalized second-order fluid through a rectangular conduit

The exact solutions are obtained for unsteady unidirectional flows of a generalized second-order fluid through a rectangular conduit. The fractional calculus in the constitutive relationship of a non-Newtonian fluid is introduced. We construct the solutions by means of Fourier transform and the discrete Laplace transform of the sequential derivatives and the double finite Fourier transform. The solutions for Newtonian fluid between two infinite parallel plates appear as limiting cases of our solutions.     

拉格朗日欧拉计算机模拟方法——对牛顿流体的解

用拉格朗日 欧拉方法模拟计算了各种流场中牛顿流体的流动问题 ,并以此来验证该算法的正确性 .其中 ,对具有准确解的二维Poiseuille流动、Couette流动以及同心圆筒间的流动 ,将模拟得到的数值解与数学解析解直接加以比较 ;对没有准确解的绕圆柱的平面流动、平面收缩和扩张流动 ,将模拟结果同一些已经发表的模拟或实验结果相比较 .从文中可见 ,该方法得到的各种结果都是合理、准确的 .     

Numerical simulation of LBGK model for high Reynolds number flow

A principle of selecting relaxation parameter was proposed to observe the limit computational capability of the incompressible LBGK models developed by Guo ZL (Guo model) and He SY (He model) for high Reynolds number flow. To the two-dimensional driven cavity flow problem, the highest Reynolds numbers covered by Guo and He models are in the range 58000－52900 and 28000－29000, respectively, at 0.3 Mach number and 1/256 lattice space. The simulation results also show that the Guo model has stronger robustness due to its higher accuracy.     

Lattice Boltzmann Simulation of Sedimentation of a Single Elastic Dumbbell in a Newtonian Fluid

Based on the lattice Boltzmann method (LBM), the sedimentations of a single elastic dumbbell in a Newtonian fluid under different initial positions and orientations, and also that of the elastic dumbbells with different free lengths of the spring under the same initial conditions have been simulated. All of the numerical results show that the final orientations of the elastic dumbbells are in the same horizontal direction, and the final positions of their centroids are all on the centerline of the tube no matter what the initial positions and orientations of the elastic dumbbell or the free lengths of the spring are. When the elastic dumbbell finally falls down vertically, the two circular cylinders of the elastic dumbbell rotate around their own symmetry-axis respectively, and their angular velocities are equal but opposite to each other. For the sedimentations of the elastic dumbbells with different free lengths of the spring, the shorter of the free length is, the faster the final angular velocity and vertical velocity of the circular cylinder will be.     

血液的粘度及其临床意义

 血液粘度是血液流动时所表现出的内摩擦或粘性阻力,血液粘度过高时,血管内的血液流动不畅,使循环作用发生障碍。血液粘度取决于红细胞的浓度、可变形性、聚集、血浆粘度等,有关血液粘度的知识可为疾病的早期诊断、预防和治疗提供有用的依据。一、血液的成分血液由有形成分和血浆组成。有形成分包括红细胞、白细胞和血小板,占血液总体积的45%强些,血浆是蛋白质、盐类等的水溶液,占血液总体积的55%弱。二、血液的非牛顿性流体流动时,相邻流层间的切应力阻碍它们的相对运动。切应力表现流体的一种性质即粘滞性。量度粘滞性的物理量称为粘滞系数或粘度。     

尾矿颗粒沉降和分选规律研究

开展了尾矿颗粒在流体中沉降和分选规律研究。首先,对尾矿颗粒在流体中受力特征和各种力作用效果进行分析;其次,对牛顿流体中尾矿颗粒沉降和分选进行研究;再次,对宾汉浆液中尾矿颗粒沉降和分选进行研究;最后,对理论公式进行了讨论和结果验证。论文确定了尾矿颗粒在不同流体中的沉降特点,提出在浆体流动中不沉的最大粒径,推导出球形颗粒的沉降微分方程,推导出颗粒最终沉速和沉降距离,求得了颗粒水平运移距离,结果讨论验证了理论公式的正确性。     

剪切变稀液滴撞击不同浸润性壁面的数值模拟研究

基于有限元法,采用水平集方法捕捉相界面的移动,构建了液滴撞击固体壁面的数值模型.通过修正的幂律模型描述流体的非牛顿剪切变稀特性,探讨了剪切变稀特性对液滴撞击固体壁面后铺展行为的影响,分析了撞击不同浸润性壁面时剪切变稀特性对液滴撞击壁面行为的影响差异.研究结果表明:随着幂律指数m的减小,液滴撞击过程中的黏性耗散减小,液滴的形貌变化及无量纲参数变化更为显著.接触角为55°的情况下:当m降低至0.85时,液滴铺展过程中开始出现显著区别于牛顿流体液滴的振荡现象;当m降低至0.80时,液滴在回缩过程中会出现中心液膜断裂的情况.接触角为100°时,剪切变稀液滴均会出现振荡行为,振荡幅度随着m的减小而增大.接触角为160°时,牛顿流体液滴与剪切变稀液滴均会在回缩过程中弹起,但剪切变稀液滴的弹起速度更快.此外,基于数值计算结果,本文提出了接触角为55°情况下剪切变稀液滴撞击壁面后的最大无量纲铺展直径预测模型.     

TBAB包络化合物浆的非牛顿流变特性研究

TBAB CHS(Clathrate Hydrate Slurry)是一种适用于空调工况的潜热输送载冷剂,可以大幅度降低冷址输送的功耗。本文以其流变特性为研究重点,通过实测水平管内层流数据,判断切应力τ和剪切速率r之间的关系,发现A型CHS完全符合Bingham塑性流体特征。本文结论对于深入剖析CHS流阻特性提供了理论指导,同时可为数值计算提供必要的参考。     

R~2上一类非牛顿流体动力学方程组解的最优衰减率

本文利用Fourier分解方法讨论一类二维不可压缩非牛顿流体动力学方程组弱解的衰减性,证明了弱解在L~2范数下衰减率为(1+t)~(-1/2),和线性热传导方程解的衰减率一致,在此意义下本文的结果是最优的。