Author(s)

A. Ahmed & A.N. Alexandrou

Abstract

Computer modeling of unsteady processing of semi-dilute and dilute suspensions A. Ahmed, A.N. Alexandrou Department of Mechanical Engineering, Worcester Polytechnic Institute, Worcester, Massachusetts, CASL4 ABSTRACT An alternative approach for solving unsteady flows of fiber suspensions and pre- dicting the implied fiber orientation is discussed. The approach uses the tra- ditional orientation tensor representation for describing suspensions flows but approximates them using finite deformation tensors. Using this approach, the stress tensor given by the theory used by Lipscomb et. al. [I] for dilute sus- pensions and Dinh-Armstrong theory for large aspect ratio fibers is expressed in terms of the Finger and Cauchy tensors using the Currie approximation. A semi- implicit finite difference scheme is then used to express the Finger and Cauchy tensors in terms of the kinematics of the flow. The proposed method has the advantage that it does not require any closure appro

Keywords