On the Steady Regime Assumptions in Flows Involving Short Fiber Suspensions

نویسندگان

  • J. Azaiez
  • K. Chiba
  • Francisco Chinesta
  • Amine Ammar
  • F. Chinesta
  • A. Ammar
چکیده

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 two-dimensional 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.

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تاریخ انتشار 2017