Analysis of process of emulsions transport in hydrophilic/oleophilic granular porous media driven by capillary force
Olga Shtyka
Łukasz Przybysz
Mariola Błaszczyk
Jerzy P. Sęk
Abstrakt
The research focuses on the issues concerning a process of multiphase liquids transport in granular porous media driven by the capillary pressure. The current publication is meant to introduce the results of experimental research conducted to evaluate the kinetics of the imbibition and emulsions behavior inside the porous structures. Moreover, the influence of the dispersed phase concentration and granular media structure on the mentioned process was considered. The medium imbibition with emulsifier-stabilized emulsions composed of oil as the dispersed phase in concentrations of 10 vol%, 30 vol%, and 50 vol%, was investigated. The porous media consisted of oleophilic/hydrophilic beads with a fraction of 200–300 and 600–800 μm. The experimental results provided that the emulsions imbibition in such media depended stronger on its structure compare to single-phase liquids. The increase of the dispersed phase concentration caused an insignificant mass decreasing of the imbibed emulsions and height of its penetration in a sorptive medium. The concentrations of the imbibed dispersions exceeded their initial values, but reduced with permeants front raise in the granular structures that can be defined as the influential factor for wicking process kinetics.
Słowa kluczowe:
emulsion, viscosity, imbibition, granular medium, kinetics, concentrationBibliografia
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Chebbi R. 2007. Dynamics of liquid penetration into capillary tubes. Journal of Colloid and Interface Science, 315(1): 255–260.
Digilov R.M. 2008. Capillary rise of a non-Newtonian power law liquid: impact of the fluid rheology and dynamic contact angle. Langmuir, 24(23): 13663–13667.
Du Plessiss J.P., Masliyah J.H. 1991. Flow through isotropic granular porous media. Transport in Porous Media, 6(3): 207–221.
Duda A., Koza Z., Matyka M. 2011. Hydraulic tortuosity in arbitrary porous media flow. Physical Review E, 84(84): 036319-1-8.
Fries N., Dreyer M. 2008. An analytic solution of capillary rise restrained by gravity. Journal of Colloid and Interface Science, 320: 259–263.
Hamraoui A., Nylander T. 2002. Analytical Approach for the Lucas–Washburn Equation. Journal of Colloid and Interface Science, 250(2): 415–421.
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Li K.W., Horne R.N. 2004. An analytical scaling method for spontaneous imbibition in gas-waterrock systems. SPE Journal, 9: 322–329.
Liu G., Zhang M., Ridgway C., Gane P. 2014 Pore wall rugosity: The role of extended wetting contact line length during spontaneous liquid imbibition in porous media. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 443: 286–295.
Maggi F., Alonso-Marroquin F. 2012. Multiphase capillary flows. International Journal of Multiphase Flow, 42: 62–73.
Martic G., De Coninck G., Blake T.D.J. 2003. Influence of the dynamic contact angle on the characterization of porous media. Journal of Colloid and Interface Science, 263: 213–216.
Masoodi R., Pillai K.M., Varanasi P.P. 2007. Darcy’s law based models for liquid absorption in polymer wicks. AIChe Journal, 53(11): 2769–2782.
Masoodi, R., Pillai, K. M. 2010. Darcy’s law-based model for wicking in paper-like swelling porous media. AIChe Journal, 56(9), 2257–2267.
Rumpf H., Gupte A.R. 1975. The influence of porosity and grain size distribution on the permeability equation of porous flow. Chemie Ingenieur Technik, 43(6): 367–375.
Sęk J., Shtyka O.S., Szymczak K. 2015. Modelling of the spontaneous polypropylene sorbents imbibition with emulsions. Journal of Environmental Engineering and Landscape Management, 23(2): 83–93.
Shtyka O.S., Sęk J., Błaszczyk M., Kacprzak S. 2016. Investigation into hydro- and oleophilic porous medium saturation with two-phase liquids during the imbibition process. Inżynieria i Aparatura Chemiczna, 55(1): 36–37.
Siebold A., Nardin M., Schultz J., Walliser A., Oppliger M. 2000. Effect of dynamic contact angle on capillary rise phenomena. Colloids and Surfaces A: Physicochemical and Engineering Aspects Flow, 161(1): 81–87.
Strzelecki T., Kostecki S., Żak S. 2008. Modelowanie przepływów przez ośrodki porowate. Dolnośląskie Wyd. Edu, Wrocław.
Xu P., Yu B.M. 2008. Developing a new form of permeability and Kozeny-Carman constant for homogeneous porous media by means of fractal geometry. Water Resources Research, 31: 74–81.
Xue H.T., Fang Z.N., Yang Y., Huang J.P., Zhou L. W. 2006. Contact Angle Determined by Spontaneous Dynamic Capillary Rises with Hydrostatic Effects: Experiment and Theory. Chemical Physics Letters, 432(1–3): 326–330.
Yu B.M. 2005. Fractal character for tortuous streamtubes in porous media. Chinese Physics Letters, 22: 158–160.
Yu B.M. 2008. Analysis of flow in fractal porous media. Applied Mechanics Reviews, 61: 050801(19).
Zhao H.Y., Li K.W. 2009. A fractal model of production by spontaneous water imbibition. Society of Petroleum Engineers. Latin American and Caribbean Petroleum Engineering Conference, 31 May-3 June, Cartagena de Indias, Colombia.
Zhmud B.V., Tiberg F., Hallstensson K. 2000. Dynamics of Capillary Rise. Journal of Colloid and Interface Science, 228: 263–269.
Cai J., Perfect E., Cheng C.-L., Hu X. 2014. Generalized modelling of spontaneous imbibition based on Hagen−Poiseuille flow in tortuous capillaries with variably shaped apertures. Langmuir, 30: 5142–5151.
Cai J., Hu X., Standnes D.C., You L. 2012. An analytical model for spontaneous imbibition in fractal porous media including gravity. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 414: 228–233.
Carbajo J., Esquerdo-Lloret T.V., Ramis J., Nadal-Gisbert A.V., Denia F.D. 2015. Acoustic properties of porous concrete made from arlite and vermiculite lightweight aggregates. Materiales de Construcción, 65(320) : e072.
Chatterjee P.K., Gupta B.S. 2002. Absorbent Technology. 1th ed. Elsevier, Netherlands, p. 7–45.
Chebbi R. 2007. Dynamics of liquid penetration into capillary tubes. Journal of Colloid and Interface Science, 315(1): 255–260.
Digilov R.M. 2008. Capillary rise of a non-Newtonian power law liquid: impact of the fluid rheology and dynamic contact angle. Langmuir, 24(23): 13663–13667.
Du Plessiss J.P., Masliyah J.H. 1991. Flow through isotropic granular porous media. Transport in Porous Media, 6(3): 207–221.
Duda A., Koza Z., Matyka M. 2011. Hydraulic tortuosity in arbitrary porous media flow. Physical Review E, 84(84): 036319-1-8.
Fries N., Dreyer M. 2008. An analytic solution of capillary rise restrained by gravity. Journal of Colloid and Interface Science, 320: 259–263.
Hamraoui A., Nylander T. 2002. Analytical Approach for the Lucas–Washburn Equation. Journal of Colloid and Interface Science, 250(2): 415–421.
Kaviany M. 1995. Principles of Heat Transfer in Porous Media. 2nd ed. Springer, New York, p. 17–45.
Kowalski J.S. 2004. Inżyneria materiałów porowatych. Wydawnictwo Politechniki Poznańskiej, Poznań.
Li K.W., Horne R.N. 2004. An analytical scaling method for spontaneous imbibition in gas-waterrock systems. SPE Journal, 9: 322–329.
Liu G., Zhang M., Ridgway C., Gane P. 2014 Pore wall rugosity: The role of extended wetting contact line length during spontaneous liquid imbibition in porous media. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 443: 286–295.
Maggi F., Alonso-Marroquin F. 2012. Multiphase capillary flows. International Journal of Multiphase Flow, 42: 62–73.
Martic G., De Coninck G., Blake T.D.J. 2003. Influence of the dynamic contact angle on the characterization of porous media. Journal of Colloid and Interface Science, 263: 213–216.
Masoodi R., Pillai K.M., Varanasi P.P. 2007. Darcy’s law based models for liquid absorption in polymer wicks. AIChe Journal, 53(11): 2769–2782.
Masoodi, R., Pillai, K. M. 2010. Darcy’s law-based model for wicking in paper-like swelling porous media. AIChe Journal, 56(9), 2257–2267.
Rumpf H., Gupte A.R. 1975. The influence of porosity and grain size distribution on the permeability equation of porous flow. Chemie Ingenieur Technik, 43(6): 367–375.
Sęk J., Shtyka O.S., Szymczak K. 2015. Modelling of the spontaneous polypropylene sorbents imbibition with emulsions. Journal of Environmental Engineering and Landscape Management, 23(2): 83–93.
Shtyka O.S., Sęk J., Błaszczyk M., Kacprzak S. 2016. Investigation into hydro- and oleophilic porous medium saturation with two-phase liquids during the imbibition process. Inżynieria i Aparatura Chemiczna, 55(1): 36–37.
Siebold A., Nardin M., Schultz J., Walliser A., Oppliger M. 2000. Effect of dynamic contact angle on capillary rise phenomena. Colloids and Surfaces A: Physicochemical and Engineering Aspects Flow, 161(1): 81–87.
Strzelecki T., Kostecki S., Żak S. 2008. Modelowanie przepływów przez ośrodki porowate. Dolnośląskie Wyd. Edu, Wrocław.
Xu P., Yu B.M. 2008. Developing a new form of permeability and Kozeny-Carman constant for homogeneous porous media by means of fractal geometry. Water Resources Research, 31: 74–81.
Xue H.T., Fang Z.N., Yang Y., Huang J.P., Zhou L. W. 2006. Contact Angle Determined by Spontaneous Dynamic Capillary Rises with Hydrostatic Effects: Experiment and Theory. Chemical Physics Letters, 432(1–3): 326–330.
Yu B.M. 2005. Fractal character for tortuous streamtubes in porous media. Chinese Physics Letters, 22: 158–160.
Yu B.M. 2008. Analysis of flow in fractal porous media. Applied Mechanics Reviews, 61: 050801(19).
Zhao H.Y., Li K.W. 2009. A fractal model of production by spontaneous water imbibition. Society of Petroleum Engineers. Latin American and Caribbean Petroleum Engineering Conference, 31 May-3 June, Cartagena de Indias, Colombia.
Zhmud B.V., Tiberg F., Hallstensson K. 2000. Dynamics of Capillary Rise. Journal of Colloid and Interface Science, 228: 263–269.
Shtyka, O., Przybysz, Łukasz, Błaszczyk, M., & Sęk, J. P. (2018). Analysis of process of emulsions transport in hydrophilic/oleophilic granular porous media driven by capillary force. Technical Sciences, 21(2), 85–101. https://doi.org/10.31648/ts.2719
Olga Shtyka
Łukasz Przybysz
Mariola Błaszczyk
Jerzy P. Sęk
