Transport Processes in Two-Phase Macroscopically Homogeneous Systems

在斯托克斯范围内的低雷诺数两相流的动量，热量和质量输运过程的理论和数值研究将进行。本文将对非均匀剪切流中剪切引起的颗粒扩散系数和流体扩散系数进行建模和数值模拟。建立了由剪切速率梯度引起的体积颗粒通量的确定方法。悬浮力学的动力学理论将与数值方法相结合，计算粒子由于浓度和剪切速率梯度而漂移的速度。研究强电场作用下低导电悬浮液宏观现象的统计理论将得到进一步发展。电导率和粒子间相互作用对电流变流体和介电电泳的影响将在模拟中进行建模和介绍。本课题与电流变流体的悬浮流变性和流动特性有关。

Theoretical and numerical investigation of momentum, heat and mass transport processes in low Reynolds number two-phase flow with particles in the Stokes range will be undertaken. The shear-induced particle and fluid diffusivities in a non-uniform shear flow will be modeled and numerically simulated. The method to determine the volumetric particle flux due to a gradient of shear rate will be established. Kinetic theory of suspension mechanics will be applied in conjunction with numerical methods to calculate drift velocity of particles due to concentration and shear rate gradients. A statistical theory of macroscopic phenomena in low-conducting suspensions subject to strong electric fields will be further developed. The effects of conductivity and interparticle interactions in electrorheological fluids and in dielectrophoresis will be modeled and introduced in the simulations. This project is relevant to the suspension rheology and flow properties of electrorheological fluids.