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A dual-scale modelling approach for drying hygroscopic porous media

Carr, Elliot Joseph, Turner, Ian, & Perre, Patrick (2013) A dual-scale modelling approach for drying hygroscopic porous media. Multiscale Modeling and Simulation, 11(1), pp. 362-384.

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Abstract

A new dualscale modelling approach is presented for simulating the drying of a wet hygroscopic porous material that couples the porous medium (macroscale) with the underlying pore structure (microscale). The proposed model is applied to the convective drying of wood at low temperatures and is valid in the so-called hygroscopic range, where hygroscopically held liquid water is present in the solid phase and water exits only as vapour in the pores. Coupling between scales is achieved by imposing the macroscopic gradients of moisture content and temperature on the microscopic field using suitably-defined periodic boundary conditions, which allows the macroscopic mass and thermal fluxes to be defined as averages of the microscopic fluxes over the unit cell. This novel formulation accounts for the intricate coupling of heat and mass transfer at the microscopic scale but reduces to a classical homogenisation approach if a linear relationship is assumed between the microscopic gradient and flux. Simulation results for a sample of spruce wood highlight the potential and flexibility of the new dual-scale approach. In particular, for a given unit cell configuration it is not necessary to propose the form of the macroscopic fluxes prior to the simulations because these are determined as a direct result of the dual-scale formulation.

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ID Code: 54157
Item Type: Journal Article
Keywords: drying, porous media, multiscale, dual-scale, homogenization, exponential integrators, Krylov subspace methods, wood
DOI: 10.1137/120873005
ISSN: 1540-3467
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Solution of Differential and Integral Equations (010302)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > MATHEMATICAL PHYSICS (010500)
Australian and New Zealand Standard Research Classification > PHYSICAL SCIENCES (020000) > CLASSICAL PHYSICS (020300) > Fluid Physics (020303)
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 Society for Industrial and Applied Mathematics
Copyright Statement: Copyright © by SIAM. Unauthorized reproduction of this article is prohibited.
Deposited On: 15 Oct 2012 13:59
Last Modified: 10 May 2013 17:28

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