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CAPILLARY RISE OF A NON-NEWTONIAN LIQUID INTO A DEFORMABLE POROUS MATERIAL

Volumen 14, Ausgabe 12, 2011, pp. 1087-1102
DOI: 10.1615/JPorMedia.v14.i12.40
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ABSTRAKT

In this study we explore the one-dimensional capillary rise of a non-Newtonian, power-law fluid into rigid and deformable porous materials with and without gravity effects. For non-Newtonian flow in rigid porous materials with gravity, an equilibrium height equivalent to that for the classical Newtonian case is reached. However, the evolution toward the equilibrium solution differs between Newtonian and non-Newtonian cases. In the case of deformable porous material where both fluid and solid phases move, we use mixture theory to formulate the problem. Again equilibrium solutions exist and are the same for both Newtonian and non-Newtonian cases. In contrast to capillary rise in rigid porous material there are now two moving boundaries−the fluid height and the solid displacement at the bottom of the deforming porous material. In the absence of gravity effects, the model admits a similarity solution, which we compute numerically. With gravity present, the free boundary problem is solved numerically. In this case, the liquid rises to a finite height and the porous material deforms to a finite depth, following dynamics that depends on power-law index n and power-law consistency index μ*.

REFERENZIERT VON
  1. Siddique Javed I., Landis Forrest A., Mohyuddin Muhammad R., Dynamics of Drainage of Power-Law Liquid into a Deformable Porous Material, Open Journal of Fluid Dynamics, 04, 04, 2014. Crossref

  2. Maria M. Sneha, Rakesh P. E., Chandra T. S., Sen A. K., Capillary flow-driven microfluidic device with wettability gradient and sedimentation effects for blood plasma separation, Scientific Reports, 7, 1, 2017. Crossref

  3. Siddique Javed, Ahmed Aftab, Aziz Asim, Khalique Chaudry, A Review of Mixture Theory for Deformable Porous Media and Applications, Applied Sciences, 7, 9, 2017. Crossref

  4. Ahmed Aftab, Siddique J. I., Mahmood Asif, Non-Newtonian flow-induced deformation from pressurized cavities in absorbing porous tissues, Computer Methods in Biomechanics and Biomedical Engineering, 20, 13, 2017. Crossref

  5. Farooq Umair, Siddique J. I., Compressive stress relaxation behavior of articular cartilage and its effects on fluid pressure and solid displacement due to non-Newtonian flow, Computer Methods in Biomechanics and Biomedical Engineering, 24, 2, 2021. Crossref

  6. Samy R. A., Suthanthiraraj Pearlson P. A., George D., Iqbal R., Sen A. K., Elastocapillarity-based transport of liquids in flexible confinements and over soft substrates, Microfluidics and Nanofluidics, 23, 8, 2019. Crossref

  7. Tong L.H., Ding H.B., Yan J.W., Xu Changjie, Lei Z., Strain gradient nonlocal Biot poromechanics, International Journal of Engineering Science, 156, 2020. Crossref

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