An improved approximation for hydraulic conductivity for pipes of triangular cross-section by asymptotic means

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dc.contributor.authorKeane, Laura
dc.contributor.authorMoyles, Iain
dc.contributor.authorHall, Cameron
dc.date.accessioned2021-03-05T14:40:16Z
dc.date.available2021-03-05T14:40:16Z
dc.date.issued2021-01-28
dc.description.abstractIn this paper, we explore single-phase flow in pores with triangular cross-sections at the pore-scale level. We use analytic and asymptotic methods to calculate the hydraulic conductivity in triangular pores, a typical geometry used in network models of porous media flow. We present an analytical formula for hydraulic conductivity based on Poiseuille flow that can be used in network models contrasting the typical geometric approach leading to many different estimations of the hydraulic conductivity. We consider perturbations to an equilateral triangle by changing the length of one of the triangle sides. We look at both small and large triangles in order to capture triangles that are near and far from equilateral. In each case, the calculations are compared with numerical solutions and the corresponding network approximations. We show that the analytical solution reduces to a quantitatively justifiable formula and agrees well with the numerical solutions in both the near and far from equilateral cases.en_US
dc.description.sponsorshipScience Foundation Ireland under Grant No. SFI/13/IA/1923 The Mathematics Applications Consortium for Science and Industry under Grant No. 12/IA/1683 The Carswell Family Foundation NSERC Vanier Canada Graduate scholarship Grant No. 434051. The Natural Sciences and Engineering Research Council of Canada Discovery Grant 2019-06337.en_US
dc.identifier.citationKeane, L.M., Hall, C.L. & Moyles, I.R. An improved approximation for hydraulic conductivity for pipes of triangular cross-section by asymptotic means. J Eng Math 126, 12 (2021). https://doi.org/10.1007/s10665-020-10079-yen_US
dc.identifier.urihttps://doi.org/10.1007/s10665-020-10079-yen_US
dc.identifier.urihttp://hdl.handle.net/10315/38128
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.rightsThis is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. The final authenticated version is available online at: https://doi.org/10.1007/s10665-020-10079-yen_US
dc.rights.articlehttps://link.springer.com/article/10.1007/s10665-020-10079-y#Ack1en_US
dc.subjectAsymptotic analysisen_US
dc.subjectHydraulic conductivityen_US
dc.subjectPoiseuille flowen_US
dc.subjectPorous media flowen_US
dc.subjectTriangular flowen_US
dc.titleAn improved approximation for hydraulic conductivity for pipes of triangular cross-section by asymptotic meansen_US
dc.typeArticleen_US

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