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Multiphase flow in a roll press nip

Multiphase flow in a roll press nip
Multiphase flow in a roll press nip
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.
0956-7925
225-259
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Howell, P.D.
7dd69d0f-8674-4069-a996-2937082a636f
King, J.R.
97bc791f-b608-4adb-a69a-ae992574b7b2
Please, C.P.
118dffe7-4b38-4787-a972-9feec535839e
Schwendeman, D.A.
a44d70b7-0827-447a-a97d-0f8938a10b38
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Howell, P.D.
7dd69d0f-8674-4069-a996-2937082a636f
King, J.R.
97bc791f-b608-4adb-a69a-ae992574b7b2
Please, C.P.
118dffe7-4b38-4787-a972-9feec535839e
Schwendeman, D.A.
a44d70b7-0827-447a-a97d-0f8938a10b38

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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Published date: 2002

Identifiers

Local EPrints ID: 29130
URI: http://eprints.soton.ac.uk/id/eprint/29130
ISSN: 0956-7925
PURE UUID: 5ec7b475-3928-4440-bbc2-80439f2c66b7

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Date deposited: 12 May 2006
Last modified: 08 Jan 2022 03:51

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Contributors

Author: A.D. Fitt
Author: P.D. Howell
Author: J.R. King
Author: C.P. Please
Author: D.A. Schwendeman

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