Folgar Tucker constants fitted against simulations of various suspensions under shear and/or elongation

Abstract

The Folgar Tucker model is an analytical model to predict the orientation of embedded particles within suspension under various kinds of deformation. The accuracy of the model is affected by a model parameter - the Folgar Tucker parameter. This dataset includes Folgar Tucker parameter that have been fitted against numerical simulations of suspension under three types of deformation that are shear, elongation or a combination of both. The simulations are performed in 2D with Smoothed Particle Hydrodynamic applying a two-way-coupling between the fluid and the solid phase. The suspension includes two types of different geometries that have either a disk shape or fiber shape. The suspension composition has been altered in terms of filling fractions of disks and fibers, size of the disks and the aspect ratio of the fibers. The Folgar Tucker model itself is precisely formulated but allows a certain degree of freedom with respect to the computation of the fourth order tensor. This fourth order tensor is often computed by a closure approximation. We show the fitted parameters for two closure approximations – the quadratic and hybrid closure.