Drying processes in the presence of temperature gradients -Pore-scale modellingH.P. Huinink1, L. Pel1, M.A.J. Michels1 and M. Prat2
1 Department of Applied Physics, Technische Universiteit Eindhoven, Postbus 513, 5600 MB Eindhoven, The Netherlands
2 Institut de Mécanique des Fluides de Toulouse, Avenue Camille Soula, 31400 Toulouse, France
(Received 16 July 2002 and Received in final form 19 December 2002 / Published online: 11 February 2003)
The influence of temperature gradients on the drying of water-saturated porous networks has been studied. We have focussed on the influence of the temperature on the drying process via the equilibrium vapor density , because this is the most sensitive parameter with respect to variations of the temperature T. We have used a 2D model which accounts for both capillary and buoyancy forces. Invasion events by air or water are handled by standard rules of invasion percolation in a gradient (IPG). Vapor fluxes are calculated by solving a discretized version of the Laplace equation. In the model the temperature T varies linearly from the open side T0 to the closed side TL. The temperature gradients strongly influence the cluster evolution during the process, because they facilitate vapor transport through wet regions. When T0<TL, the movement of the front is inhibited and dry patches develop after a certain time at the closed side. When T0>TL, the front movement is enhanced and the air ingress in the wet region behind the front is inhibited. The behavior of 3D systems differs from that of 2D systems, because the point where air percolates the system and the point where the water network breaks up in isolated clusters do not coincide. Before the latter fragmentation point the temperature will mainly influence the drying rates. After this point also the water distribution becomes sensitive to the temperature profile.
47.55.Mh - Flows through porous media.
68.03.-g - Gas-liquid and vacuum-liquid interfaces.
64.60.Ak - Renormalization-group, fractal, and percolation studies of phase transitions.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2002