Multiphase flow in a roll press nip

Fitt, A.D., Howell, P.D., King, J.R., Please, C.P. and Schwendeman, D.A. (2002) Multiphase flow in a roll press nip. European Journal of Applied Mathematics, 13 (3), 225-259. (doi:10.1017/S0956792501004636).

Record type: Article

Abstract

A three-phase ensemble-averaged model is developed for the flow of water and air through a deformable porous matrix. The model predicts a separation of the flow into saturated and unsaturated regions. The model is closed by proposing an experimentally-motivated heuristic elastic law which allows large-strain nonlinear behaviour to be treated in a relatively straightforward manner. The equations are applied to flow in the ‘nip’ area of a roll press machine whose function is to squeeze water out of wet paper as part of the manufacturing process. By exploiting the thin-layer limit suggested by the geometry of the nip, the problem is reduced to a nonlinear convection-diffusion equation with one free boundary. A numerical method is proposed for determining the flow and sample simulations are presented.

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