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Twin tubular pinch effect in curving confined flows.

ABSTRACT: Colloidal suspensions of buoyancy neutral particles flowing in circular pipes focus into narrow distributions near the wall due to lateral migration effects associated with fluid inertia. In curving flows, these distributions are altered by Dean currents and the interplay between Reynolds and Dean numbers is used to predict equilibrium positions. Here, we propose a new description of inertial lateral migration in curving flows that expands current understanding of both focusing dynamics and equilibrium distributions. We find that at low Reynolds numbers, the ratio ? between lateral inertial migration and Dean forces scales simply with the particle radius, coil curvature and pipe radius as (Rp(3)R)/a(4). A critical value ?c = 0.148 of this parameter is identified along with two related inertial focusing mechanisms. In the regime below ?c, coined subcritical, Dean forces generate permanently circulating, twinned annuli, each with intricate equilibrium particle distributions including eyes and trailing arms. At ? > ?c (supercritical regime) inertial lateral migration forces are dominant and particles focus to a single stable equilibrium position.

SUBMITTER: Clime L

PROVIDER: S-EPMC5386211 | biostudies-literature | 2015 Apr

REPOSITORIES: biostudies-literature

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Twin tubular pinch effect in curving confined flows.

Clime Liviu L Morton Keith J KJ Hoa Xuyen D XD Veres Teodor T

Scientific reports 20150430

Colloidal suspensions of buoyancy neutral particles flowing in circular pipes focus into narrow distributions near the wall due to lateral migration effects associated with fluid inertia. In curving flows, these distributions are altered by Dean currents and the interplay between Reynolds and Dean numbers is used to predict equilibrium positions. Here, we propose a new description of inertial lateral migration in curving flows that expands current understanding of both focusing dynamics and equi ...[more]

PMID: 25927878

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Project description:ObjectiveTo investigate the fetal growth pattern after fetoscopic laser photocoagulation (FLP) in twin-twin transfusion syndrome (TTTS) and the effect of FLP on placental perfusion and intrauterine growth restriction (IUGR) incidence.MethodsTTTS cases with a live delivery of both twins at least 28 days after FLP and with a neonatal follow-up at our hospital at least 60 days after delivery were included. The biometric data obtained before FLP (based on ultrasound); time point M1), upon birth (M2), and at neonatal follow-up (M3) were analyzed. The body weight discordance (BWD) was defined as (estimated fetal weight [body weight] of the recipient twin - estimated fetal weight [body weight] of the donor twin)/(estimated fetal weight [body weight] of the recipient twin) × 100%. Total weight percentile (TWP) was defined as the donor + recipient twin weight percentile; the TWP indirectly reflected the total placental perfusion.Resultsthe BWDs decreased from M1 to M2 to M3 (24.6, 15.9, and 5.1, respectively, p < 0.001, repeated measurements). The weight percentiles of recipient twins decreased after FLP, that is, from M1 to M2 (53.4% vs. 33.6%, respectively, p < 0.001, least significant difference [LSD] test). However, the weight percentiles of donor twins increased after delivery, that is, from M2 to M3 (13.2% vs. 26.2%, respectively, p < 0.001, LSD test). Moreover, the TWPs decreased after FLP, that is, from M1 to M2 (66.2% vs. 46.8%, respectively, p = 0.002, LSD test) and increased after delivery, that is, from M2 to M3 (46.8% vs. 63.2%, respectively, p = 0.024, LSD test). The IUGR incidences in donor twins were significantly lower after FLP (77.4% vs. 56.6%, respectively, p = 0.019, McNemar test) and further decreased after delivery (56.6% vs. 37.7%, respectively, p = 0.041, McNemar Test); however, no significant difference was observed in recipient twins' IUGR incidences among M1, M2, and M3. The donor twin had catch- up growth in body weight, height, and head circumference after delivery, and the recipient twin had catch-up growth in only body height after delivery.Conclusionsthe BWD decreased after FLP in fetuses with TTTS mainly because of the decreased weight percentiles of recipient twins. Moreover, it further decreased after delivery mainly because of the increased weight percentiles of donor twins. FLP not only decreased placental perfusion but also improved the TTTS prognosis because of reduced BWD and donor twin IUGR incidence.

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Twin tubular pinch effect in curving confined flows.

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Twin tubular pinch effect in curving confined flows.

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