Evaporation rates across a convective air boundary layer are dominated by diffusion

Water Resources Research

Volumn 49, Issue 3, 2013, Pages 1602-1610

  Haghighi, E ^a   Shahraeeni, E ^b,c   Lehmann, P ^a   Or, D ^a  

^a ETH ZURICH   (Switzerland)

^b RESERVOIR ENGINEERING RESEARCH INSTITUTE   (United States)

^c Forschungszetrum Jülich   (Germany)

Author keywords

diffusion; evaporation; evaporative resistance; porous media

Indexed keywords

ADVECTION; BOUNDARY LAYER FLOW; DIFFUSION; EVAPORATION; PECLET NUMBER; POROUS MATERIALS; SURFACE WATERS;

ADVECTION AND DIFFUSIONS; ADVECTION-DIFFUSION EQUATION; ANALYTICAL DESCRIPTION; ANALYTICAL EXPRESSIONS; BOUNDARY LAYER THICKNESS; EVAPORATIVE RESISTANCES; LONGITUDINAL DIRECTION; RELATIVE CONTRIBUTION;

BOUNDARY LAYERS;

ADVECTION-DIFFUSION EQUATION; BOUNDARY LAYER; EVAPORATION; ISOTHERM; MASS TRANSFER; POROUS MEDIUM; SOIL TYPE; WATER CONTENT;

EID: 84876739383     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1002/wrcr.20166     Document Type: Article

References (27)

1. Abramowitz, M., and, I. A. Stegun, (1972), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing, Dover, New York.
2. Bird, R. B., W. E. Stewart, and, E. N. Lightfoot, (2002), Transport Phenomena, 2nd ed., John Wiley, New York.
3. Brooks, R. H., and, A. T. Corey, (1964), Hydraulic properties of porous media, Hydrology Paper 3, Colo. State Univ., Fort Collins, Colo.
4. Cooke, J. R., (1969), The influence of stomatal spacing upon diffusion rate, ASAE Meeting, No. 69-525, St. Joseph, MI.
5. Dullien, F. A. L., (1979), Porous Media: Fluid Transport and Pore Structure, Academic, San Diego, Calif.
6. Idso, S. B., R. J. Reginato, R. D. Jackson, B. A. Kimball, and, F. S. Nakayama, (1974), The three stages of drying of a field soil, Soil Sci. Soc. Am. Proc., 38 (5), 831-837, doi: 10.2136/sssaj1974.03615995003800050037x.
7. Kondo, J., N. Saigusa, and, T. Sato, (1990), A parameterization of evaporation from bare soil surfaces, J. Appl. Meteorol., 29, 385-389, doi: 10.1175/1520-0450(1990)029<0385:APOEFB>2.0.CO;2.
8. Lee, W. C., O. A. Plumb, and, L. Gong, (1992), An experimental study of heat and mass transfer during drying of packed beds, Trans. ASME J. Heat Transfer, 114, 727-734, doi: 10.1115/1.2911341. (Pubitemid 23567932)
9. Lehmann, P., S. Assouline, and, D. Or, (2008), Characteristic lengths affecting evaporative drying of porous media, Phys. Rev. E, 77 (5), 056309, doi: 10.1103/PhysRevE.77.056309.
10. Lowry, T., and, S. G. Li, (2002), A characteristic-based finite analytic method for solving the two-dimensional steady state advection-diffusion equation, Water Resour. Res., 38 (7), 1123, doi: 10.1029/2001WR000518.
11. Metzger, T., and, E. Tsotsas, (2005), Influence of pore size distribution on drying kinetics: A simple capillary model, Drying Technol., 23 (9-11), 1797-1809, doi: 10.1080/07373930500209830. (Pubitemid 41490119)
12. Mualem, Y., (1976), A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resour. Res., 12 (3), 513-522, doi: 10.1029/WR012i003p00513.
13. Rawls, W. J., D. L. Brakensiek, and, K.E. Saxton,. (1982), Estimation of soil water properties, Trans. ASAE, 25 (5), 1316-1320.
14. Schlünder, E. U., (1988), On the mechanism of the constant drying rate period and its relevance to diffusion controlled catalytic gas phase reactions, Chem. Eng. Sci., 43 (10), 2685-2688, doi: 10.1016/0009-2509(88)80012- 5.
15. Shahraeeni, E., and, D. Or, (2010), Pore scale analysis of evaporation and condensation dynamics in porous media, Langmuir, 26 (17), 13924-13936, doi: 10.1021/la101596y.
16. Shahraeeni, E., and, D. Or, (2012a), Pore-scale evaporation-condensation dynamics resolved by synchrotron x-ray tomography, Phys. Rev. E, 85 (1), 016317, doi: 10.1103/PhysRevE.85.016317.
17. Shahraeeni, E., and, D. Or, (2012b), Pore scale mechanisms for enhanced vapor transport through partially saturated porous media, Water Resour. Res., 48, W05511, doi: 10.1029/2011WR011036.
18. Shahraeeni, E., P. Lehmann, and, D. Or, (2012), Coupling of evaporative fluxes from drying porous surfaces with air boundary layer - Characteristics of evaporation from discrete pores, Water Resour. Res., 48, W09525, doi: 10.1029/2012WR011857.
19. Shokri, N., and, D. Or, (2011), What determines drying rates at the onset of diffusion controlled stage-2 evaporation from porous media? Water Resour. Res., 47, W09513, doi: 10.1029/2010WR010284.
20. Shokri, N., P. Lehmann, P. Vontobel, and, D. Or, (2008), Drying front and water content dynamics during evaporation from sand delineated by neutron radiography, Water Resour. Res., 44, W06418, doi: 10.1029/2007WR006385.
21. Shokri, N., P. Lehmann, and, D. Or, (2009), Critical evaluation of enhancement factors for vapor transport through unsaturated porous media, Water Resour. Res., 45, W10433, doi: 10.1029/2009WR007769.
22. Suzuki, M., and, S. Maeda, (1968), On the mechanism of drying of granular beds; mass transfer from discontinuous source, J. Chem. Eng. Jpn., 1 (6), 26-31, doi: 10.1252/jcej.1.26.
23. van Brakel, J., (1980), Mass transfer in convective drying, in Advances in Drying, vol. 1, edited by, A.S. Mujumdar, pp. 217-267, Hemisphere, New York.
24. van de Griend, A. A., and, M. Owe, (1994), Bare soil surface resistance to evaporation by vapor diffusion under semiarid conditions, Water Resour. Res., 30 (2), 181-188, doi: 10.1029/93WR02747. (Pubitemid 24405672)
25. van Genuchten, M. Th,. (1980), A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44 (5), 892-898, doi: 10.2136/sssaj1980.03615995004400050002x.
26. Yamanaka, T., and, T. Yonetani, (1999), Dynamics of the evaporation zone in dry sandy soils, J. Hydrol., 217, 135-148, doi: 10.1016/S0022-1694(99)00021- 9. (Pubitemid 29184172)
27. Yiotis, A. G., I. N. Tsimpanogiannis, A.K. Stubos, and, Y. C. Yortsos, (2007), Coupling between external and internal mass transfer during drying of a porous medium, Water Resour. Res., 43, W06403, doi: 10.1029/2006WR005558.