Primary and Secondary Infiltration of Wetting Liquid Sessile Droplet into Porous Medium

Transport in Porous Media

Volumn 85, Issue 3, 2010, Pages 953-974

  Markicevic, B ^a   Navaz, H K ^a  

^a KETTERING UNIVERSITY   (United States)

Author keywords

Capillary network model with micro force balance; Multiphase flow in porous media; Phase content (saturation) and capillary pressure; Primary and secondary infiltration of wetting droplet

Indexed keywords

CAPILLARY NETWORK; CAPILLARY PRESSURES; DRIVING FORCES; FLOW FRONT; LIQUID FLOW; LIQUID PHASE; LIQUID SATURATION; MEDIUM HETEROGENEITY; MICROFORCES; MULTIPHASE FLOW IN POROUS MEDIA; NANOARRAYS; PHASE CONTENT; POROUS MEDIUM; PRIMARY AND SECONDARY INFILTRATION OF WETTING DROPLET; SESSILE DROPLET; TRANSIENT SOLUTIONS; TWO-STEP PROCESS; WETTING LIQUIDS;

BLOOD VESSELS; CAPILLARITY; CAPILLARY TUBES; DROP FORMATION; FUEL CELLS; LIQUIDS; MULTIPHASE FLOW; POROUS MATERIALS; SEEPAGE; WETTING;

SOIL MECHANICS;

CAPILLARY PRESSURE; HETEROGENEITY; INFILTRATION; MULTIPHASE FLOW; POROUS MEDIUM; TRANSIENT FLOW; WETTING;

EID: 78149496517     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-010-9603-y     Document Type: Article

References (29)

1. Alleborn N., Raszillier H.: Spreading and sorption of a droplet on a porous substrate. Chem. Eng. Sci. 59, 2071-2088 (2004).
2. Bear J.: Dynamics of Fluids in Porous Media. Dover Publications, Inc., Mineola, NY (1988).
3. Blunt M., King M. J., Scher H.: Simulation and theory of two-phase flow in porous media. Phys. Rev. A 46, 7680-7699 (1992).
4. Constantinides G. N., Payatakes A. C.: Network simulation of steady-state two-phase flow in consolidated media. AIChE J. 42, 369-382 (1996).
5. Davis S. H., Hocking L. M.: Spreading and imbibition of viscous liquid on a porous base. Phys. Fluids 11, 48-57 (1999).
6. Davis S. H., Hocking L. M.: Spreading and imbibition of viscous liquid on a porous base. II. Phys. Fluids 12, 1646-1655 (2000).
7. Denesuk M., Smith G. L., Zelinski B. J. J., Kreidl N. J., Uhlmann D. R.: Capillary penetration of liquid droplets into porous materials. J. Colloid Interface Sci. 158, 114-120 (1993).
8. Fatt I.: The network model of porous media III. Dynamic properties of networks with tube radius distribution. Trans. AIME 207, 164-181 (1956).
9. Hilpert M., Glantz R., Miller C. T.: Calibration of a pore-network model by a pore-morphological analysis. Transp. Porous Media 51, 267-285 (2003).
10. Holman R. K., Cima M. J., Uhland S. A., Sachs E.: Spreading and infiltration of inkjet-printed polymer solution droplets on a porous substrate. J. Colloid Interface Sci. 249, 432-440 (2002).
11. Ioannidis M. A., Chatzis I.: A mixed-percolation model of capillary hysteresis and entrapment in mercury porosimetry. J. Colloid Interface Sci. 161, 278-291 (1993).
12. Lenormand R., Touboul E., Zarcone C.: Numerical models and experiments on immiscible displacement in porous media. J. Fluid Mech. 189, 165-187 (1988).
13. Leverett M. C.: Capillary behavior in porous solids. AIME Trans. 142, 152-169 (1941).
14. Mantle M. D., Reis N. C., Griffiths R. F., Gladden L. F.: MRI studies of the evaporation of a single liquid droplet from porous surfaces. Magn. Reson. Imaging 21, 293-297 (2003).
15. Markicevic B., Navaz H. K.: Numerical solution of wetting fluid spread into porous media. Int. J. Numer. Methods Heat Fluid Flow 19, 521-534 (2009).
16. Markicevic B., Li H., Sikorski Y., Zand A. R., Sanders M., Navaz H. K.: Infiltration time and imprint shape of a sessile droplet imbibing porous medium. J. Colloid Interface Sci. 336, 698-706 (2009).
17. Navaz H. K., Markicevic B., Zand A. R., Sikorski Y., Chan E., Sanders M., D'Onofrio T. G.: Sessile droplet spread into porous substrates-determination of capillary pressure using a continuum approach. J. Colloid Interface Sci. 325, 440-446 (2008).
18. Nikolopoulos N., Theodorakakos A., Bergeles G.: A numerical investigation of the evaporation process of a liquid droplet impinging onto a hot substrate. Int. J. Heat Mass Transf. 50, 303-319 (2007).
19. Øren P., Bakke S., Arntzen O. J.: Extending predictive capabilities to network models. SPE J. 3, 324-336 (1998).
20. Popovich L. L., Feke D. L., Manas-Zloczower I.: Influence of physical and interfacial characteristics on the wetting and spreading of fluids on powders. Powder Technol. 104, 68-74 (1999).
21. Prat M.: Percolation model of drying under isothermal conditions in porous media. Int. J. Multiph. Flow 19, 691-704 (1993).
22. Reis N. C. Jr., Griffiths R. F., Mantle M. D., Gladden L. F.: Investigation of the evaporation of embedded liquid droplets from porous surfaces using magnetic resonance imaging. Int. J. Heat Mass Transf. 46, 1279-1292 (2003).
23. Starov V. M.: Surfactant solutions and porous substrates: spreading and imbibition. Adv. Colloid Interface Sci. 111, 3-27 (2004).
24. Starov V. M., Kostvintsev S. R., Sobolev V. D., Velarde M. G., Zhdanov S. A.: Spreading of liquid drops over dry porous layers: Complete wetting case. J. Colloid Interface Sci. 252, 397-408 (2002).
25. Udell K. S.: Heat transfer in porous media considering phase change and capillarity-the heat pipe effect. Int. J. Heat Mass Transf. 28, 485-495 (1985).
26. Valavanides M. S., Payatakes A. C.: True-to-mechanism model of steady-state two-phase flow in porous media, using decomposition into prototype flows. Adv. Water Resour. 24, 385-407 (2001).
27. van Genuchten M. T.: A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44, 892-898 (1980).
28. Wilkinson D., Willemsen J. F.: Invasion percolation-a new form of percolation theory. J. Phys. A 16, 3365-3376 (1983).
29. Zadražil A., Stepanek F., Matar O. K.: Droplet spreading, imbibition and solidification on porous media. J. Fluid Mech. 562, 1-33 (2006).