Author(s)

R.M. Miller & J.F. Morris

Abstract

Development of a frame-invariant suspension flow model R.M. ~ i l l e r ' & J.F. orris^ 'School of Chemical Engineering, Georgia Institute of Technology, USA 2 Halliburton Energy Services, USA Abstract Continuum modeling of two-dimensional suspension flows is presented. The model uses a proposed frame-invariant constitutive law for the suspension rheology. Particle migration is incorporated as a result of the spatial variation of the particle contribution to the bulk stress. The kinematic ratio of rates of rotation to straining of a fluid element is allowed to influence the rheological response; this quantity may be expressed in invariant form by pk = with E the rate of strain IlEll and w,,l the rotation rate of the material relative to the eigenvectors of E. Model predictions for pressure-driven flow in a straight channel and a 2: 1 contraction illustrate the role of flow type: the straight channel is locally simple shear, while the contraction varies between simple shear and extensionally d

Keywords