Fingering instability down the outside of a vertical cylinder

We present an experimental and numerical study examining the dynamics of a gravity-driven contact line of a thin viscous film traveling down the outside of a vertical cylinder of radius R. Experiments on cylinders with radii ranging between 0.159 and 3.81 cm show that the contact line is unstable to a fingering pattern for two fluids with differing viscosities, surface tensions, and wetting properties. The dynamics of the contact line is studied and results are compared to previous studies of inclined plane experiments in order to understand the influence substrate curvature plays on the fingering pattern. A lubrication model is derived for the film height in the limit that ε = H/R≪1, where H is the upstream film thickness, and in terms of a Bond number ρgR3/(γH), and the linear stability of the contact line is analyzed using traveling wave solutions. Curvature controls the capillary ridge height of the traveling wave and the range of unstable wavelength when ε = O(10-1), whereas the shape and stability of the contact line converge to the behavior one observes on a vertical plane when ε ≤ O(10-2). The most unstable wave mode, cutoff wave mode for neutral stability, and maximum growth rate scale as 0.45 where = ρgR2/γ ≥ 1.3, and the contact line is unstable to fingering when ≥ 0.56. Using the experimental data to extrapolate outside the range of validity of the thin film model, we estimate the contact line is stable when <0.56. Agreement is excellent between the model and the experimental data for the wave number (i.e., number of fingers) and wavelength of the fingering pattern that forms along the contact line.

Parallel recusive algorithms for inverse discrete Legendre transform and inverse discrete Laguerre transform

This paper presents parallel recursive algorithms for the computation of the inverse discrete Legendre transform (DPT) and the inverse discrete Laguerre transform (IDLT). These recursive algorithms are derived using Clenshaw's recurrence formula, and they are implemented with a set of parallel digital filters with time-varying coefficients.

The Effect of Chronic Estrogen Administration on Same-Sex Social Behavior and Central Oxytocin Levels in Prairie Voles (Microtus ochrogaster)

The purpose of our study is to investigate the effects of chronic estrogen administration on same-sex interactions during exposure to a social stressor and on oxytocin (OT) levels in prairie voles (Microtus orchrogaster). Estrogen and OT are two hormones known to be involved with social behavior and stress. Estogen is involved in the transcription of OT and its receptor. Because of this, it is generally thought that estrogen upregulates OT, but evidence to support this assumption is weak. While estrogen has been shown to either increase or decrease stress, OT has been shown to have stress-dampening properties. The goal of our experiment is to determine how estrogen affects OT levels as well as behavior in a social stressor in the voles. In addition, estrogen is required for many opposite-sex interactions, but little is known about its influence on same-sex interactions. We hypothesized that prairie voles receiving chronic estrogen injections would show an increase in OT levels in the brain and alter behavior in response to a social stressor called the resident-intruder test. To test this hypothesis, 73 female prairie voles were ovariectomized and then administered daily injections of estrogen (0.05 ¿g in peanut oil, s.c.) or vehicle for 8 days. On the final day of injections, half of the voles were given the resident-intruder test, a stressful 5 min interaction with a same-sex stranger. Their behavior was video-recorded. These animals were then sacrificed either 10 minutes or 60 minutes after the conclusion of the test. Half of the animals (no stress group) were not given the resident-intruder test. After sacrifice, trunk blood and brains were collected from the animals. Videos of the resident-intruder tests were analyzed for pro-social and aggressive behavior. Density of OT-activated neurons in the brain was measured via pixel count using immunohistochemistry. No differences were found in pro-social behavior (focal sniffing, p = 0.242; focal initiated sniffing p = 0.142; focal initiated sniffing/focal sniffing, p = 0.884) or aggressive behavior (total time fighting, p= 0.763; number of fights, p= 0.148; number of strikes, p = 0.714). No differences were found in activation of OT neurons in the brain, neither in the anterior paraventricular nucleus (PVN) (pixel count p= 0.358; % area that contains pixelated neurons p = 0.443) nor in the medial PVN (pixel count p= 0.999; % area that contains pixelated neurons p = 0.916). These results suggest that estrogen most likely does not directly upregulate OT and that estrogen does not alter behavior in stressful social interactions with a same-sex stranger. Estrogen may prepare the animal to respond to OT, instead of increasing the production of the peptide itself, suggesting that we need to shift the framework in which we consider estrogen and OT interactions.