2015
DOI: 10.1007/s12217-015-9435-z
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Study of Capillary Driven Flow in an Interior Corner of Rounded Wall Under Microgravity

Abstract: The capillary driven flow in cylindrical interior corners satisfying the Concus-Finn condition was investigated under microgravity. The governing equation of capillary driven flow in cylindrical interior corners was established, and the approximate analytical solution was obtained. The relationship between liquid's front position and time was derived, which was then compared with the results of drop tower experiments and numerical simulation using the FLOW-3D software. The influence of different parameters on … Show more

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Cited by 17 publications
(3 citation statements)
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“…Capillary corner flows have gained recent attention due to their prevalence aboard spacecraft for low-g liquid containment devices and have such been studied in myriad geometries including flows in propellant tank vane networks 12 , flow stability 13 , curved corners 14 , open rectangular channels 15 , and theoretical 16 and experimental 17 , 18 flows along nonplanar corners. Examples of short-duration low-g numerical investigations include single interior corners 19 , square channels 20 , stepped corners 21 , rounded corner walls 22 , and rounded vertices 23 , 24 . These investigations assume local parallel flow with negligible streamwise curvature and inertia as highlighted in earlier developments 25 27 .…”
Section: Introductionmentioning
confidence: 99%
“…Capillary corner flows have gained recent attention due to their prevalence aboard spacecraft for low-g liquid containment devices and have such been studied in myriad geometries including flows in propellant tank vane networks 12 , flow stability 13 , curved corners 14 , open rectangular channels 15 , and theoretical 16 and experimental 17 , 18 flows along nonplanar corners. Examples of short-duration low-g numerical investigations include single interior corners 19 , square channels 20 , stepped corners 21 , rounded corner walls 22 , and rounded vertices 23 , 24 . These investigations assume local parallel flow with negligible streamwise curvature and inertia as highlighted in earlier developments 25 27 .…”
Section: Introductionmentioning
confidence: 99%
“…Surface-tension-driven flows have been widely explored. Weislogel et al derived dynamic equations of surface-tension-driven flows along interior corners, and the same method has been adopted to derive the dynamic equations of flows along interior corners formed by planar walls of varying wettability, rounded interior corners, interior corners of rounded walls, curved interior corners, and interior corners in plate type tanks . Zhou et al comprehensively studied surface-tension-driven flows along corners with arbitrary cross-sections and presented universal mathematical models of flows.…”
Section: Introductionmentioning
confidence: 99%
“…Capillary driven ows in tubes were deeply analyzed (Stange et al, 2003;Figliuzzi et al, 2013;Chen et al, 2023), and the whole ow process was divided into three stages or two stages according to Oh numbers. Theoretical expressions of capillary ows in different shapes of corners are also derived (Weislogel et al, 1998(Weislogel et al, , 2005Chen et al, 2006;Li et al, 2012;Li et al, 2015;Wu et al, 2018). The interior corner ow theory is adopted to design the PMD, and it's validated by drop tower experiments (Wei et al, 2011).…”
Section: Introductionmentioning
confidence: 99%