Bingham流体与固壁、液面斜撞击的数值模拟  

Numerical Simulation on Cylindrical Bingham Fluid Impacted to a Solid Wall and Fluid Surface

作　　者：徐胜利[1] 岳朋涛[1] 刘大有[2] 段新平[2] 

机构地区：[1]中国科学技术大学力学和机械工程系,安徽合肥230026 [2]中国科学院力学研究所,北京100080

出　　处：《爆炸与冲击》2002年第1期8-14,共7页Explosion and Shock Waves

基　　金：国家自然科学基金项目 (4 97710 0 3)

摘　　要：在交错网格中用MAC方法求解二维不可压N S方程 ,对圆截面液柱与固壁、液面斜撞击问题进行了数值模拟 ,得到了自由面随时间演化的图像。主要考察了 :(1)固壁和液面 ;(2 )牛顿、非牛顿流体 ;(3)碰撞入射角θ ;(4 )Bingham流体近似本构式中参数q0 、K对计算结果的影响。结果表明 :液柱与液面碰撞形成的自由面更复杂。碰撞初期 ,Bingham流体和水的自由面相似 ;但碰撞后期 ,Bingham流体的自由面相对简单。θ对液柱与液面碰撞自由面的影响较大。本文条件下 ,当K >2 0时 ,K对自由面的影响不大 ;当q0 增大时 。Two dimensional incompressible Navier-Stokes equations were solved by MAC method in staggered grids. Oblique impact of cylindrical Bingham fluid on a solid wall and fluid surface was investigated numerically. Time histories of free surface were obtained. Several conditions were tested in the computation, i.e.wall property, Newtonian fluid and Bingham fluid, impact angle θ and parameters K, q0 in an approximate constitutive relationship of Bingham fluid. The results show that evolution of free surface impacted to fluid surface is much more complex. Initially, evolution of free surface of Bingham fluid is similar to that of water, but becomes relatively simple at the final stage. The free surface is greatly affected by changing θ in the case of cylindrical fluid impacted on fluid surface. Free surface of Bingham fluid becomes less complicated as q0 is increased. In this paper, K has less effect to the result if K is more than 20.

关 键 词：非牛顿流体 斜撞击 MAC方法 数值模拟 交错网格 二维不可压N-S方程 

分 类 号：O373[理学—流体力学] O353.4[理学—力学]