Modeling motion-induced fluid release from partially saturated fibrous media onto surfaces with different hydrophilicity

International Journal of Heat and Fluid Flow

Volumn 32, Issue 5, 2011, Pages 1076-1081

  Ashari, A ^a   Bucher, T M ^a   Tafreshi, H Vahedi ^a  

^a Virginia Commonwealth University   (United States)

Author keywords

Capillary pressure; Controlled release; Fibrous media; Relative permeability; Richards' equation; Two phase flow

Indexed keywords

BOUNDARY TREATMENT; CONTROLLED RELEASE; DIFFERENT SPEED; EXPERIMENTAL DATA; FIBROUS MEDIA; FLUID TRANSPORT; FUNCTION OF TIME; IMPERMEABLE SURFACE; MATHEMATICAL FORMULATION; NON-WOVEN; PARTIALLY SATURATED; POROUS LAYERS; RELATIVE PERMEABILITY; RELEASE RATE; RICHARDS' EQUATION; SOLID SURFACE; SPEED OF MOTION; TEST RIGS;

FUNCTIONS; HYDROPHILICITY; POROUS MATERIALS; SOLUTE TRANSPORT; SURFACES; TWO PHASE FLOW;

FLUIDS;

EID: 80052487281     PISSN: 0142727X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatfluidflow.2011.06.002     Document Type: Article

References (26)

1. Anantharamaiah N., Roempert K., Tafreshi H.V., Pourdeyhimi B. A new design for nozzle strips of hydroentangling process for minimizing jet marks on the fabrics. J. Mater. Sci. 2007, 42:6161-6170.
2. Ashari A., Tafreshi H.V. A two-scale modeling of motion-induced fluid release from thin fibrous porous media. Chem. Eng. Sci. 2009, 64:2067.
3. Ashari A., Tafreshi H.V. General capillary pressure and relative permeability expressions for through-plane fluid transport in thin fibrous sheets. Colloid Surf. A 2009, 346:114.
4. Ashari A., Bucher T.M., Tafreshi H.V., Tahir T.M., Rahman S.M.A. Modeling fluid absorption in thin fibrous sheets: effects of fiber orientation. Int. J. Heat Mass Trans. 2010, 53:1750.
5. Ashari A., Bucher T.M., Tafreshi H.V. A semi-analytical model for simulating fluid transport in multi-layered fibrous sheets made up of solid and porous fibers. Comp. Mater. Sci. 2010, 50:378-390.
6. Brooks, R.H., Corey, A.T., 1964. Hydraulic properties of porous media. Colorado State Univ., Hydrology Papers, Fort Collins, Colorado.
7. Cottenden A.M., Wong W.K., Cottenden D.J., Farbrot A. Development and validation if a new method for measuring friction between skin and nonwoven materials. Proc. Inst. Mech. Eng. Part H-J. Eng. Medi. 2008, 222(H5):791-803.
8. Eames I., Small I., Frampton A., Cottenden A.M. Experimental and theoretical study of the spread of fluid from a point source on an inclined incontinence bed-pad. Proc. Inst. Mech. Eng. Part H-J. Eng. Med. 2003, 217:263.
9. Fader M., Clark-O'Neill S., Rebecca Wong W.K., Runeman B., Farbrot A., Cottenden A.M. Review of methods used for quantifying excess water in over-hydrated skin using evaporimetry. Skin Res. Technol. 2010, 16:1-8.
10. Haverkamp, R., Vauclin, M., Touma, J., Wierenga, P.J., Vachaud, G.A., 1977. A comparison of numerical simulation models for one-dimensional infiltration. Soil Sci. Soc. Am. J. 285-294.
11. Hyvaluoma J., Raiskinmaki P., Jasberg A., Koponen A., Kataja M., Timonen J. Simulation of liquid penetration in paper. Phys. Rev. E 2006, 73:036705.
12. Jaganathan S., Tafreshi H.V., Pourdeyhimi B. A realistic modeling of fluid infiltration in thin fibrous sheets. J. Appl. Phys. 2009, 105:113522.
13. Landeryou M., Eames I., Cottenden A. Infiltration into inclined fibrous sheets. J. Fluid Mech. 2005, 529:173-193.
14. Lucas D., Glazirina E., Pan N. Computer simulation of liquid wetting dynamics in fiber structures using Ising model. J. Text. Inst. 1997, 88:149.
15. Mao N., Russell S.J. Anisotropic liquid absorption in homogenous two-dimensional nonwoven structure. J. Appl. Phys. 2003, 94:4135.
16. Mao N., Russell S.J. Capillary pressure and liquid wicking in three-dimensional nonwoven materials. J. Appl. Phys. 2008, 104:034911.
17. Marmur A. The radial capillary. J. Colloid Interf. Sci. 1988, 124:1.
18. Mullins B.J., Braddock R.D., Kasper G. Capillarity in fibrous media: relationship to filter properties. Chem. Eng. Sci. 2007, 62:6191.
19. Pan, N., Gibson, P., 2006. Thermal and Moisture Transport in Fibrous Materials. Woodhead Publishing Ltd., Cambridge, UK.
20. Richards L.A. Capillary conduction of liquids through porous mediums. Physics 1931, 1:318-333.
21. Spielman L., Goren S.L. Model for predicting pressure drop and filtration efficiency in fibrous media. Environ. Sci. Technol. 1968, 2:279.
22. Tafreshi H.V., Pourdeyhimi H.V., Holmes R., Shiffler D. Simulation and characterization of water flow inside hydroentangling orifices. Text. Res. J. 2003, 73(3):256.
23. Tahir M.A., Tafreshi H.V. Influence of fiber orientation on the transverse permeability of fibrous media. Phys. Fluids 2009, 21:083604.
24. Tompson K.E. Pore-scale modeling of fluid transport in disordered fibrous materials. AIChE J. 2002, 48:1369.
25. Wang C., Beckerman C. A two-phase mixture model of liquid-gas flow and heat transfer in capillary porous media-I. Formulation. Int. J. Heat Mass Transf. 1993, 36(11):2747-2758.
26. Zhu L., Perwuelz A., Lewandowski M., Campagne C. Wetting behavior of thermally bonded polyester nonwoven fabrics: the importance of porosity. J. Appl. Polym. Sci. 2005, 102:387-394.