The Mathematical Institute, University of Oxford, Eprints Archive

Crust formation in drying colloidal suspensions

Style, R. W. and Peppin, S. S. L. (2010) Crust formation in drying colloidal suspensions. Royal Society A . (Submitted)

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Abstract

During the drying of colloidal suspensions, the desiccation process causes the suspension near the air interface to consolidate into a connected porous matrix or crust. Fluid transport in the porous medium is governed by Darcy’s law and the equations of poroelasticity, while the equations of colloid physics govern processes in the suspension. We derive new equations describing this process, including unique boundary conditions coupling the two regions, yielding a moving-boundary model of the concentration and stress profiles during drying. A solution is found for the steady-state growth of a one-dimensional crust during constant evaporation rate from the surface. The solution is used to demonstrate the importance of the system boundary conditions on stress profiles and diffusivity in a drying crust.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:988
Deposited By:Peter Hudston
Deposited On:26 Oct 2010 10:26
Last Modified:09 Feb 2012 16:00

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