Leading Edge Vortex in Flapping Fins

Insects and penguins flap their pectoral fins to produce forces. Flapping means simultaneous rolling and pitching oscillations with or without twist. Twisting is a differential pitching between the root and the tip of the fin, added to the normal pitching oscillation. The rolling and pitching oscillations are 90 deg apart. Flapping fins produce leading edge vortices which enhance lift forces and delay stall even at high angles of attack, and the mechanism is known as dynamic stall (ASME JFE v131 031801-29 2009...JEB v211 206-214 2008...IEEE JOE v33 59-68 2008.). In the fluid dynamics video we show dye-in-water flow visualization of the formation of the leading edge vortex (LEV) with and without twist. We also show the effects of increasing frequency of oscillation and roll angle on the LEV. In the absence of twist, the LEV is conically enlarging along span, with a spanwise flow away from the root. However, in the presence of twist, the LEV is more uniform along the span and this effect of twist becomes clearer as frequency of oscillation is increased; we explain that this is a result of the local and instantaneous angle of attack becoming more uniform along span due to twist

A Measurement of the Cosmic Microwave Background Lensing Potential and Power Spectrum from 500 deg2 of SPTpol Temperature and Polarization Data

We present a measurement of the cosmic microwave background lensing potential using 500 deg2 of 150 GHz data from the SPTpol receiver on the South Pole Telescope. The lensing potential is reconstructed with signal-to-noise per mode greater than unity at lensing multipoles L lesssim 250, using a quadratic estimator on a combination of cosmic microwave background temperature and polarization maps. We report measurements of the lensing potential power spectrum in the multipole range of 100 < L < 2000 from sets of temperature-only (T), polarization-only (POL), and minimum-variance (MV) estimators. We measure the lensing amplitude by taking the ratio of the measured spectrum to the expected spectrum from the best-fit Λ cold dark matter model to the Planck 2015 TT + low P + lensing data set. For the minimum-variance estimator, we find ${A}_{\mathrm{MV}}=0.944\pm 0.058(\mathrm{Stat}.)\pm 0.025\ (\mathrm{Sys}.);$ restricting to only polarization data, we find ${A}_{\mathrm{POL}}=0.906\pm 0.090\ (\mathrm{Stat}.)\pm 0.040\ (\mathrm{Sys}.)$. Considering statistical uncertainties alone, this is the most precise polarization-only lensing amplitude constraint to date (10.1σ) and is more precise than our temperature-only constraint. We perform null tests and consistency checks and find no evidence for significant contamination

A demonstration of improved constraints on primordial gravitational waves with delensing

We present a constraint on the tensor-to-scalar ratio, r, derived from measurements of cosmic microwave background (CMB) polarization B-modes with “delensing,” whereby the uncertainty on r contributed by the sample variance of the gravitational lensing B-modes is reduced by cross-correlating against a lensing B-mode template. This template is constructed by combining an estimate of the polarized CMB with a tracer of the projected large-scale structure. The large-scale-structure tracer used is a map of the cosmic infrared background derived from Planck satellite data, while the polarized CMB map comes from a combination of South Pole Telescope, bicep/Keck, and Planck data. We expand the bicep/Keck likelihood analysis framework to accept a lensing template and apply it to the bicep/Keck dataset collected through 2014 using the same parametric foreground modeling as in the previous analysis. From simulations, we find that the uncertainty on r is reduced by ∼10%, from σ(r)=0.024 to 0.022, which can be compared with a ∼26% reduction obtained when using a perfect lensing template or if there were zero lensing B-modes. Applying the technique to the real data, the constraint on r is improved from r0.05<0.090 to r0.05<0.082 (95% C.L.). This is the first demonstration of improvement in an r constraint through delensing