气泡在幂律流体中长大过程的有限元数值模拟  

FEM Based Numerical Simulation of Bubble Growth in Power-Law Liquid

作　　者：许星明[1] 赵国群[1] 李辉平[1] 秦升学[2] 

机构地区：[1]山东大学材料液态结构及其遗传性教育部重点实验室,山东大学模具工程技术研究中心,山东济南250061 [2]山东科技大学机电学院,山东青岛266510

出　　处：《高分子材料科学与工程》2009年第11期170-174,共5页Polymer Materials Science & Engineering

基　　金：国家杰出青年基金资助项目(50425517);山东省自然科学基金资助项目(Y2006F17)

摘　　要：针对幂律型流体,建立了气泡在有限聚合物熔体内长大过程的有限元模型。气泡内气体遵守理想气体定律,且气泡边界处发泡剂浓度与气泡内气体压强符合亨利定律。采用Galerkin方法对有限元控制方程进行求解,并编写了计算程序。采用隐式差分法对扩散方程中的时间导数项进行离散,确保了数值计算的稳定性。采用幂律型流体本构关系描述聚合物流变性质,计算了不同材料的物性参数和工艺参数对气泡长大过程的影响。The modeling for spherical bubble growth in a limited amount of power-law liquid was presented by using finite element based numerical simulation method. The gas inside the bubble obeys the ideal gas law, and the gas concentration at the bubble surface follows Henry＇ s law. A computer code was programmed to solve the equations with Galerkin method. Implicit difference scheme was used to discretize time in advection-diffusion equation. The rheology of the melt was described by power-law constitutive equation. In each incremental time step, grids were remeshed to acquire more accurate numerical results. The influence of the initial bubble radius, zero-shear viscosity, diffusion coefficient, solubility coefficient and surface tension on bubble growth was studied and presented respectively.

关 键 词：气泡长大 幂律流体 数值模拟 有限元 

分 类 号：TQ328[化学工程—合成树脂塑料工业]