The SPH approach to the process of container filling based on non-linear constitutive models  

作　　者：Tao Jiang Jie Ouyang Lin Zhang Jin-Lian Ren 

机构地区：[1]Department of Applied Mathematics,Northwestem Polytechnical University,710129 Xi'an,China

出　　处：《Acta Mechanica Sinica》2012年第2期407-418,共12页力学学报（英文版）

基　　金：support by the National Basic Research Program of China (973) (2012CB025903);the National Natural Science Foundation of China (10871159);Basic Research Program of China(2005CB321704)

摘　　要：In this work, the transient free surface of con- tainer filling with non-linear constitutive equation＇s fluids is numerically investigated by the smoothed particle hydrody- namics （SPH） method. Specifically, the filling process of a square container is considered for non-linear polymer fluids based on the Cross model. The validity of the presented SPH is first verified by solving the Newtonian fluid and Oldroyd- B fluid jet. Various phenomena in the filling process are shown, including the jet buckling, jet thinning, splashing or spluttering, steady filling. Moreover, a new phenomenon of vortex whirling is more evidently observed for the Cross model fluid compared with the Newtonian fluid case.In this work, the transient free surface of con- tainer filling with non-linear constitutive equation＇s fluids is numerically investigated by the smoothed particle hydrody- namics （SPH） method. Specifically, the filling process of a square container is considered for non-linear polymer fluids based on the Cross model. The validity of the presented SPH is first verified by solving the Newtonian fluid and Oldroyd- B fluid jet. Various phenomena in the filling process are shown, including the jet buckling, jet thinning, splashing or spluttering, steady filling. Moreover, a new phenomenon of vortex whirling is more evidently observed for the Cross model fluid compared with the Newtonian fluid case.

关 键 词：Non-linear. SPH Free surface Navier-Sto- kes FILLING 

分 类 号：O35[理学—流体力学] TU43[理学—力学]