- Access by Xinjiang University
Drying regimes in homogeneous porous media from macro- to nanoscale
Phys. Rev. Fluids 2, 074201 – Published 25 July, 2017
DOI: https://doi.org/10.1103/PhysRevFluids.2.074201
Abstract
Magnetic resonance imaging visualization down to nanometric liquid films in model porous media with pore sizes from micro- to nanometers enables one to fully characterize the physical mechanisms of drying. For pore size larger than a few tens of nanometers, we identify an initial constant drying rate period, probing homogeneous desaturation, followed by a falling drying rate period. This second period is associated with the development of a gradient in saturation underneath the sample free surface that initiates the inward recession of the contact line. During this latter stage, the drying rate varies in accordance with vapor diffusion through the dry porous region, possibly affected by the Knudsen effect for small pore size. However, we show that for sufficiently small pore size and/or saturation the drying rate is increasingly reduced by the Kelvin effect. Subsequently, we demonstrate that this effect governs the kinetics of evaporation in nanopores as a homogeneous desaturation occurs. Eventually, under our experimental conditions, we show that the saturation unceasingly decreases in a homogeneous manner throughout the wet regions of the medium regardless of pore size or drying regime considered. This finding suggests the existence of continuous liquid flow towards the interface of higher evaporation, down to very low saturation or very small pore size. Paradoxically, even if this net flow is unidirectional and capillary driven, it corresponds to a series of diffused local capillary equilibrations over the full height of the sample, which might explain that a simple Darcy's law model does not predict the effect of scaling of the net flow rate on the pore size observed in our tests.
Physics Subject Headings (PhySH)
Article Text
References (39)
- J. Van Brakel, Mass transfer in convective drying, Adv. Drying 1, 217 (1980).
- J. B. Laurindo and M. Prat, Numerical and experimental network study of evaporation in capillary porous media, Chem. Eng. Sci. 53, 2257 (1998).
- I. N. Tsimpanogiannis, Y. C. Yortsos, S. Poulou, N. Kanellopoulos, and A. K. Stubos, Scaling theory of drying in porous media, Phys. Rev. E 59, 4353 (1999).
- P. Coussot, Scaling approach of the convective drying of a porous medium, Eur. Phys. J. B 15, 557 (2000).
- F. Chauvet, P. Duru, S. Geoffroy, and M. Prat, Three Periods of Drying of a Single Square Capillary Tube, Phys. Rev. Lett. 103, 124502 (2009).
- D. Or, P. Lehmann, E. Shahraeeni, and N. Shokri, Advances in soil evaporation physics—A review, Vadose Zone J. 12 (2013).
- N. Prime, Z. Housni, L. Fraikin, A. Leonard, R. Charlier, and S. Levasseur, On water transfer and hydraulic connection layer during the convective drying of rigid porous material, Transp. Porous Media 106, 47 (2015).
- P. Coussot, C. Gauthier, D. Nadji, J. C. Borgotti, P. Vié, and F. Bertrand, Capillary motion during drying of a granular paste, C.R. Acad. Sci., Paris 327, 1101 (1999).
- L. Pel, H. Brocken, and K. Kopinga, Determination of moisture diffusivity in porous media using moisture concentration profiles, Int. J. Heat Mass Transfer 39, 1273 (1996).
- P. Faure and P. Coussot, Drying of a model soil, Phys. Rev. E 82, 036303 (2010).
- G. H. A. van der Heijden, L. Pel, H. P. Huinink, and K. Kopinga, Moisture transport and dehydration in heated gypsum, an NMR study, Chem. Eng. Sci. 66, 4241 (2011).
- A. Yiotis, D. Salin, E. Tajer, and Y. Yortsos, Drying in porous media with gravity-stabilized fronts: Experimental results, Phys. Rev. E 86, 026310 (2012).
- P. Lehmann, S. Assouline, and D. Or, Characteristic lengths affecting evaporative drying of porous media, Phys. Rev. E 77, 056309 (2008).
- N. Shokri, P. Lehmann, P. Vontobel, and D. Or, Drying front and water content dynamics during evaporation from sand delineated by neutron radiography, Water Resour. Res. 44, 06418 (2008).
- N. Shokri and D. Or, What determines drying rates at the onset of diffusion controlled stage‐2 evaporation from porous media? Water Resour. Res. 47, W09513 (2011).
- N. Grapsas and N. Shokri, Acoustic characteristics of fluid interface displacement in drying porous media, Int. J. Multiphase Flow 62, 30 (2014).
- N. Ceaglske and O. A. Hougen, Drying granular solids, Trans. Am. Inst. Chem. Eng. 33, 283 (1937).
- S. Whitaker and W. T. H. Chou, Drying granular porous media-theory and experiment, Drying Technol. 1, 3 (1983).
- P. Chen and D. C. T. Pei, A mathematical model of drying processes, Int. J. Heat Mass Transfer 32, 297 (1989).
- N. Shahidzadeh-Bonn, A. Azouni, and P. Coussot, Effect of wetting properties on the kinetics of drying of porous media, J. Phys.: Condens. Matter 19, 112101 (2007).
- M. D. Seck, E. Keita, P. Faure, P. Cavalié, M. Van Landeghem, S. Rodts, and P. Coussot, Subflorescence and plaster drying dynamics, Chem. Eng. Sci. 148, 203 (2016).
- E. Keita, P. Faure, S. Rodts, and P. Coussot, MRI evidence for a receding-front effect in drying porous media, Phys. Rev. E 87, 062303 (2013).
- E. Keita, T. E. Kodger, P. Faure, S. Rodts, D. A. Weitz, and P. Coussot, Water retention against drying with soft-particle suspensions in porous media, Phys. Rev. E 94, 033104 (2016).
- J. Thiery, E. Keita, S. Rodts, D. Courtier Murias, T. Kodger, A. Pegoraro, and P. Coussot, Drying kinetics of deformable and cracking nano-porous gels, Eur. Phys. J. E 39, 117 (2016).
- J. Thiery, S. Rodts, E. Keita, X. Chateau, P. Faure, D. Courtier-Murias, T. E. Kodger, and P. Coussot, Water transfer and crack regimes in nanocolloidal gels, Phys. Rev. E 91, 042407 (2015).
- G. C. Kuczynski, Study of the sintering of glass, J. Appl. Phys. 20, 1160 (1949).
- D. A. Weitz and M. Oliveria, Fractal Structures Formed by Kinetic Aggregation of Aqueous Gold Colloids, Phys. Rev. Lett. 52, 1433 (1984).
- Signal Treatment and Signal Analysis in NMR, edited by D. N. Rutledge (Elsevier Science, New York, 1996), Vol. 18.
- P. T. Callaghan, Principles of Nuclear Magnetic Resonance Microscopy (Clarendon, Oxford, UK, 1993).
- T. M. Shaw, Drying as an Immiscible Displacement Process with Fluid Counterflow, Phys. Rev. Lett. 59, 1671 (1987).
- A. G. Yiotis, A. G. Boudouvis, A. K. Stubos, I. N. Tsimpanogiannis, and Y. C. Yortsos, Effect of liquid films on the drying of porous media, AIChE J. 50, 2721 (2004).
- L. Xu, S. Davies, A. B. Schofield, and D. A. Weitz, Dynamics of Drying in 3D Porous Media, Phys. Rev. Lett. 101, 094502 (2008).
- J. Thiery, Water transfers in sub-micron porous media during drying and imbibition, Ph.D. thesis, Université Paris-Est, 2016.
- A. A. Moghaddam, A. Kharaghani, E. Tsotas, and M. Prat, Kinematics in a slowly drying porous medium: Reconciliation of pore network simulations and continuum modeling, Phys. Fluids 29, 022102 (2017).
- E. Keita, S. A. Koehler, P. Faure, D. A. Weitz, and P. Coussot, Drying kinetics driven by the shape of the air/water interface in a capillary channel, Eur. Phys. J. E 39, 23 (2016).
- M. Suzuki and S. Maeda, On the mechanism of drying of granular beds, J. Chem. Eng. Jpn. 1, 26 (1968).
- P. Lehmann and D. Or, Effect of wetness patchiness on evaporation dynamics from drying porous surfaces, Water Resour. Res. 49, 8250 (2013).
- B. Coasne, A. Galarneau, R. J. M. Pellenq, and F. Di Renzo, Adsorption, intrusion and freezing in porous silica: The view from the nanoscale, Chem. Soc. Rev. 42, 4141 (2013).
- J. F. Daian, Equilibrium and Transfers in Porous Media (Wiley, New York, 2014).