808 research outputs found

    Natural convection in a vertical slot: accurate solution of the linear stability equations

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    The linear stability of natural convection in a fluid between vertical hot and cold walls was studied using a collocation method. Seven figure accurate results for monotonic disturbances were obtained by Ruth (1979) using numerical power series, but this method is intrinsically limited and failed for Pr ? 10 . In contrast, Chebyshev collocation converges more rapidly and allows the computation of results at higher Pr for which oscillatory disturbances dominate. Accurate results are now obtained across the entire Prandtl number range. These match the zero and infinite Pr asymptotes which are also refined here

    New data and the hard pomeron

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    New structure-function data are in excellent agreement with the existence of a hard pomeron, with intercept about 1.4. It gives a very economical description of the data. Having fixed 2 parameters from the data for the real-photon cross section σγp\sigma^{\gamma p}, we need just 5 further parameters to fit the data for F2(x,Q2)F_2(x,Q^2) with x0.001x\leq 0.001. The available data range from Q2=0.045Q^2=0.045 to 35 GeV2^2. With guesses consistent with dimensional counting for the xx dependences of our three separate terms, the fit extends well to larger xx and to Q2=5000Q^2=5000 GeV2^2. With no additional parameters, it gives a good description of data for the charm structure function F2c(x,Q2)F_2^c(x,Q^2) from Q2=0Q^2=0 to 130 GeV2^2. The two pomerons also give a good description of both the WW and the tt dependence of γpJ/ψp\gamma p\to J/\psi p.Comment: 11 pages, plain tex, with 10 figures embedded using epsf. (Spurious figure removed.

    Antidepressant use in late gestation and risk of postpartum haemorrhage: a retrospective cohort study

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    Objective: To investigate the association between antidepressant use in late gestation and postpartum haemorrhage (PPH). Design: Retrospective cohort study. Tertiary teaching hospital in Adelaide, Australia. Population: A total of 30 198 women delivering between 2002 and 2008. Methods: Relative risks adjusted for maternal sociodemographics and comorbidities (aRRs) were calculated for PPH, comparing women with late-gestation exposure to antidepressants (n = 558), women with a psychiatric illness but no antidepressant use (n = 1292), and women with neither antenatal exposures (n = 28 348). Additional sensitivity analyses were undertaken, examining associations with severe PPH and postpartum anaemia. Main Outcome Measures: The primary outcome was PPH, defined as a recorded blood loss of ≥500 mL for vaginal deliveries and ≥1000 mL for caesarean sections. Secondary outcomes included severe PPH (≥1000 mL blood loss, irrespective of method of delivery), and the presence of postpartum anaemia (identified from hospital medical records). Results: Compared with unexposed controls, women exposed to antidepressants had an increased risk of PPH (aRR 1.53; 95% confidence interval, 95% CI 1.25-1.86), whereas no increased risk was observed for women with a psychiatric illness but no antidepressant use (aRR 1.04; 95% CI 0.89-1.23). In sensitivity analyses, late gestation antidepressant exposure was associated with an increased risk of severe PPH (aRR 1.84; 95% CI 1.39-2.44), as well as postpartum anaemia (aRR 1.80; 95% CI 1.46-2.22). Conclusions: Exposure to antidepressants in late gestation was associated with a significantly increased risk of PPH. Although potential confounding by unmeasured factors cannot be ruled out, these findings suggest a direct effect of antidepressant exposure on PPH.LE Grzeskowiak, R McBain, GA Dekker, VL Clifto

    Skirting subsets of the plane, with application to marginal stability curves

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    An easily implemented algorithm is described for tracing the margin of a plane region defined by a predicate. Given a point inside and one outside, a sequence of marginal points is produced. The algorithm is a modified specialization of the `simplicial decomposition' method for n equations in n+1 dimensions. The case n=1 has special properties and its importance motivates their present exploitation. It is directly applicable to finding level curves. It does not require differentiability and copes well with cusps. Two questions of accuracy are the proximity of the outputs to the margin and the proximity of the margin to the output set. The first is answered precisely. The second is complicated and predicate-dependent, but is addressed in practical terms by adaptivity, which also improves the scheme's efficiency

    Characterisation of Low Reynolds Number Fountain behaviour

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    Experimental evidence for previously unreported fountain behaviour is presented. It has been found that the first unstable mode of a wall bounded three dimensional round fountain is a laminar flapping motion that can grow to a circling or multi-modal flapping motion. With increasing Froude and Reynolds numbers, fountain behaviour becomes more disorderly, exhibiting a laminar bobbing motion. The transition between steady behaviour, the initial flapping modes and the laminar bobbing flow can be approximately described by a function C =FrRe 2/3. The transition to turbulence occurs at Re > 120, independent of Froude number. For Fr > 20 and Re 120 these instabilities cause the fountain to intermittently breakdown into turbulent jet like flow. A regime map of the fountain behaviour for 0:7 < Fr < 55 and 15 < Re < 1100 is presented and the underlying mechanisms for the observed behaviour are proposed
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