On the Steady Regime Assumptions in Flows Involving Short Fiber Suspensions
The present study addresses the issue of the steady regime assumption in flows involving short fibers usually introduced for the analysis of rheometric flows or in the simulation of some kind of forming processes as is the case of the extrusion. For this purpose we analyze the solution of the Fokker-Planck equation in simple shear flows for both twodimensional and three-dimensional systems. Despite the simplicity of that flow, it brings the possibility of comparing exact and numerical solutions. Thus, exact analytical solutions and results of numerical simulations based on the finite element technique and the method of particles are presented. The effect of diffusion on the existence of steady solutions, and more particularly on the time required to reach that steady solution, is investigated.
Jalel AZAIEZ, K. CHIBA, Francisco CHINESTA, Amine AMMAR
Short Fiber Suspensions, Orientation Distribution, Fokker-planck Equation.