Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
Journal of Porous Media
Facteur d'impact: 1.061 Facteur d'impact sur 5 ans: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

Volumes:
Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v14.i12.40
pages 1087-1102

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

Javed Siddique
Department of Mathematics, Pennsylvania State University, York Campus, York, Pennsylvania 17403, USA
D. M. Anderson
Department of Mathematical Sciences, George Mason University, Fairfax, Virginia 22030, USA

RÉSUMÉ

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*.


Articles with similar content:

FLOW OF IMMISCIBLE MICROPOLAR FLUIDS BETWEEN TWO POROUS BEDS
Journal of Porous Media, Vol.17, 2014, issue 4
K. S. Sai, J. Srinivas, J. V. Ramana Murthy
CAPILLARY RISE IN A NON-UNIFORM TUBE
Journal of Porous Media, Vol.14, 2011, issue 5
Mohamed El Amine Ben Amara, Sassi Ben Nasrallah
DIRECT NUMERICAL SIMULATION OF SURFACE TENSION EFFECTS ON INTERFACE DYNAMICS AND ENERGY TRANSFER IN TURBULENCE
TSFP DIGITAL LIBRARY ONLINE, Vol.9, 2015, issue
Olivier Desjardins, Jeremy McCaslin
MODELLING THE FLUID FLOW AND MASS TRANSFER THROUGH POROUS MEDIA WITH EFFECTIVE VISCOSITY ON THE THREE-DIMENSIONAL BOUNDARY LAYER
Journal of Porous Media, Vol.21, 2018, issue 11
Ramesh B. Kudenatti, Shashi Prabha Gogate S.
Exact Solution for the Magnetohydrodynamic Flows of an Oldroyd-B Fluid through a Porous Medium
Journal of Porous Media, Vol.10, 2007, issue 4
S. B. Khan, Masood Khan