部分滑移边界条件下自由液面流动问题研究  

STUDY OF FREE SURFACE FLOW WITH PARTIALLY-SLIP BOUNDARY

作　　者：AHMAD Salman 岳宝增[1] 宋晓娟[1] 

机构地区：[1]北京理工大学宇航学院,北京100081

出　　处：《力学与实践》2011年第6期9-12,共4页Mechanics in Engineering

基　　金：国家自然科学基金项目(11072030);中国教育部博士点基金项目(20080070011);中国教育部留学回国人员基金(20080732040);北京市重点学科建设基金项目;巴基斯坦教育委员会资助项目

摘　　要：数值方法进行相关问题的研究就以圆柱形储液罐为例,考虑部分滑移边界条件,对所得的高度非线性微分方程进行了数值求解,讨论了贮液腔体内液面接触线和液体高度线,及部分滑移条件对流体层微观半径的影响;所得结论对自由液面晃动问题数值研究中的边界条件处理有参考意义.The researches on sloshing of the free surface flow in containers carrying liquid are of theoretical and practical significance. Numerical solutions often involve some approximations of the boundary condition, when considering the wide-range movement or the nonlinearity of the free surface flow. In this paper, under partial slip boundary conditions, the high-order nonlinear differential equations of a cylinder-shaped partially filled liquid container are numerically solved. The influences of the contact line and the fluid height of liquid and the partial slip boundary conditions on the macroscopic radius of the fluid layer are discussed. The results may serve a reference for treating similar boundary conditions of free surface flow for partially filled liquid carrying containers.

关 键 词：分离压 接触线 有限差分法 液体晃动 逐次超松弛法 部分滑移边界 

分 类 号：V448[航空宇航科学与技术—飞行器设计]