基于格子Boltzmann方法的电流变液动力学建模及数值模拟

Dynamic modeling and numerical simulation of electro-rheological fluids based on Lattice Boltzmann Method

电流变悬浮液内部结构对外电场的快速响应发生在指定的控制空间中,在这一特指的时间和空间尺度上电流变悬浮液的物理行为特征主要为剪切速率低和流动阻尼大,即Mach和Reynolds数一般不大,可以视为微尺度流动来加以研究。针对这一流动特征,基于介观动理论的格子Boltzmann方法,建立了电流变悬浮液两相流动的离散颗粒运动模型,通过该模型进行了动力学模拟,结果表明,该模型解决了分子动力学模型难以描述的因颗粒运动造成局部流场流变特性改变的难题,以及该流场双向耦合过程中对颗粒运动的影响。

Since the fast response of the internal structure of the electro-rheological（ER）suspension fluids occur in the controlled space（electrode distance is generally 1mm^2mm）of the applied electric field,where the main feature of the ER suspension fluids in the certain time and spatial scales is low shear rate but high flow resistance,which means the Mach number and the Reynolds number are generally small,it can be considered as micro-scale flow.According to this characteristic,the author proposed a discrete-particle-motion model of the ER suspension flows based on the Lattice Boltzmann Method（LBM）of the Mesoscopic kinetic theory.The results of the dynamic simulation showed that the model solved the problem of describing the changes of the rheological properties of some local flow fields and the influences on the particle movement during the two-way coupling in this flow field.