NUMERICAL RESEARCH ON THE THREE-DIMENSIONAL FIBER ORIENTATION DISTRIBUTION IN PLANAR SUSPENSION FLOWS
AUTOR(ES)
Zhang, Qihua, Gao, Xiongfa, Shi, Weidong
FONTE
Braz. J. Chem. Eng.
DATA DE PUBLICAÇÃO
2017-01
RESUMO
Abstract To describe flow-induced fiber orientation, the Fokker-Planck equation is widely applied in the processing of composites and fiber suspensions. The analytical solution only exists when the Péclet number is infinite. So developing a numerical method covering a full range of Péclet number is of great significance. To accurately solve the Fokker-Planck equation, a numerical scheme based on the finite volume method is developed. Using spherical symmetry, the boundary is discretized and formulated into a cyclic tridiagonal matrix which is further solved by the CTDMA algorithm. To examine its validity, benchmark tests over a wide range of Péclet number are performed in a simple shear flow. For Pe=∞, the results agree well with the analytical solutions. For the other Pe numbers, the results are compared to results available in the literature. The tests show that this algorithm is accurate, stable, and globally conservative. Furthermore, this algorithm can be extended and used to predict the three-dimensional orientation distribution of complex suspension flows.
Documentos Relacionados
- Numerical simulation of three-dimensional flows over aerospace configurations.
- Magnetic self-assembly of three-dimensional surfaces from planar sheets
- The three-dimensional numerical aerodynamics of a movable block burner
- Machinima and ethnographic research in three-dimensional virtual worlds
- Three-dimensional numerical modeling of RTM and LRTM processes