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Comparison of quadratic and power law for nonlinear flow through porous media

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Comparison of quadratic and power law for nonlinear flow through porous media

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dc.contributor.author Cheng, Nian-Sheng
dc.contributor.author Hao, Zhiyong
dc.contributor.author Tan, Soon Keat
dc.date.accessioned 2012-03-26T00:41:19Z
dc.date.available 2012-03-26T00:41:19Z
dc.date.copyright 2008
dc.date.issued 2012-03-26
dc.identifier.citation Cheng, N. S., Hao, Z., & Tan, S. K. (2008). Comparison of quadratic and power law for nonlinear flow through porous media. Experimental Thermal Fluid Science, 32(8), 1538-1547.
dc.identifier.issn 0894-1777
dc.identifier.uri http://hdl.handle.net/10220/7670
dc.description.abstract The quadratic and power laws are two typical formulations that can be used to extend the Darcy law to non-Darcy flows through porous media. Both laws are reformulated in the dimensionless form in this study. They are then evaluated by fitting to experimental data with specified variations in seepage velocity, which were specifically collected for a simplified ordered porous model. The results show that the quadratic law is applicable to both linear and nonlinear flow regimes but the two coefficients vary at different regimes. In comparison, the power law appears not workable if the seepage velocity varies over a wide range. This study also demonstrates that the two parameters included in the power law are generally interrelated, and the relationship derived based on the quadratic law compares well with the experimental results. To help understand the nonlinear behavior associated with the simplified porous model, CFD simulations were also performed to visualize and elucidate localized 3D flow phenomena.
dc.format.extent 26 p.
dc.language.iso en
dc.relation.ispartofseries Experimental thermal fluid science
dc.rights © 2008 Elsevier. This is the author created version of a work that has been peer reviewed and accepted for publication by Experimental thermal fluid science, Elsevier. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1016/j.expthermflusci.2008.04.007].
dc.subject DRNTU::Engineering::Civil engineering::Water resources.
dc.title Comparison of quadratic and power law for nonlinear flow through porous media
dc.type Journal Article
dc.contributor.school School of Civil and Environmental Engineering
dc.identifier.doi http://dx.doi.org/10.1016/j.expthermflusci.2008.04.007

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