14–17 May 2018
New Orleans
US/Central timezone

On modeling partially-saturated flow of a liquid in multilayered thin swelling porous media

17 May 2018, 10:02
15m
New Orleans

New Orleans

Oral 20 Minutes MS 4.16: Two-Phase Flow and Reactive Transport through Thin Porous Layers Parallel 9-B

Speaker

Dr Ahmed Kaffel

Description

Understanding fluid flow and deformation processes in thin swelling porous media is critical for developing superior consumer absorbent hygiene products such as wipes, paper towels, feminine pads and diapers [1-4]. Fluid-flow models have proven very valuable for the development of these products and have led to the development of fundamental understandings in transport mechanisms, numerical simulation tools, computation infrastructure and lab methods for both characterizing absorbent materials as well as validation of flow and deformation models.
In this study we developed a quasi -2D averaged macroscopic mass balance model, based on the volume averaging approach [5-17], for modeling partially-saturated flow of a liquid in multilayered thin, absorbing swelling porous media. In order to describe the absorbency process in [18], fast and accurate simulations with this model are carried out to predict the time and spatial behavior of variables such as piezometric head, saturation, porosity, and layer thickness, and to understand the flow and storage of a liquid in conjunction with the layer deformation. This model enormously improved the computational speeds, allowing to develop a fast and reasonably accurate simulation of the unsaturated flow at lower cost. The numerical results of the simulations predicted well the flow fields of both liquid and solid phases and were in good agreement with the experimental and previous numerical results.

References

  1. Buchholz, F.L., Model of liquid permeability in swollen composites of superabsorbent polymer and fiber. Journal of applied polymer science, 2006. 102(4): p. 4075-4084.
  2. Buchholz, F.L. and A.T. Graham, Modern superabsorbent polymer technology. John! Wiley & Sons, Inc, 605 Third Ave, New York, NY 10016, USA, 1998. 279, 1998.
  3. Diersch, H.-J.G., et al., Modeling unsaturated flow in absorbent swelling porous media: Part 2. Numerical simulation. Transport in Porous Media, 2011. 86(3): p. 753-776.
  4. Diersch, H.-J.G., et al., Modeling unsaturated flow in absorbent swelling porous media: Part 1. Theory. Transport in Porous Media, 2010. 83(3): p. 437-464.
  5. Majid Hassanizadeh, W.G.G., General conservation equations for multi-phase systems: 1. Averaging procedure. Advances in Water Resources, 1979. 2: p. 131-144.
  6. Hassanizadeh, S.M., Derivation of basic equations of mass transport in porous media, Part 2. Generalized Darcy's and Fick's laws. Advances in Water Resources, 1986. 9(4): p. 207-222.
  7. Hassanizadeh, M. and W. Gray, General conservation equations for multi-phase system: 2. Mass, momenta, energy and entropy equations. Adv. Water Resour, 1979. 2(3): p. 191-203.
  8. Preziosi, L. and A. Farina, On Darcy's law for growing porous media. International Journal of Non-Linear Mechanics, 2002. 37(3): p. 485-491.
  9. Majid Hassanizadeh, W.G.G., General conservation equations for multi-phase systems: 3. Constitutive theory for porous media flow. 1980. 3(1): p. 25-40.
  10. Gray, W., et al., Mathematical tools for changing spatial scales in the analysis of physical systemsCRC Press. Boca Raton, 1993.
  11. Hassanizadeh, S.M. and W.G. Gray, Mechanics and thermodynamics of multiphase flow in porous media including interphase boundaries. Advances in water resources, 1990. 13(4): p. 169-186.
  12. Gray, W.G., Constitutive theory for vertically averaged equations describing steam‐water flow in porous media. Water Resources Research, 1983. 19(6): p. 1501-1510.
  13. Gray, W.G., Derivation of vertically averaged equations describing multiphase flow in porous media. Water Resources Research, 1982. 18(6): p. 1705-1712.
  14. Gray, W.G. and P. Lee, On the theorems for local volume averaging of multiphase systems. International Journal of Multiphase Flow, 1977. 3(4): p. 333-340.
  15. Whitaker, S., The method of volume averaging. Vol. 13. 1998: Springer Science & Business Media.
  16. Qin, C. and S. Hassanizadeh, A new approach to modelling water flooding in a polymer electrolyte fuel cell. international journal of hydrogen energy, 2015. 40(8): p. 3348-3358.
  17. Qin, C. and S. Hassanizadeh, Multiphase flow through multilayers of thin porous media: General balance equations and constitutive relationships for a solid–gas–liquid three-phase system. International Journal of Heat and Mass Transfer, 2014. 70: p. 693-708.
  18. Feldkamp, J.R., A mathematical description of liquid flow through partially saturated deformable porous media. report 2.02(TL No 7439.).
Acceptance of Terms and Conditions Click here to agree

Primary authors

Dr Ahmed Kaffel Prof. Krishna Pillai (University of Wisconsin Milwaukee)

Presentation materials

There are no materials yet.