On the origin of the inflectional instability of a laminar separation bubble

This is an experimental and theoretical Study of a laminar separation bubble and the associated linear stability mechanisms. Experiments were performed over a flat plate kept in a wind tunnel, with an imposed pressure gradient typical of an aerofoil that would involve a laminar separation bubble. The separation bubble was characterized by measurement of surface-pressure distribution and streamwise velocity using hot-wire anemometry. Single component hot-wire anemometry was also used for a detailed study of the transition dynamics. It was foundthat the so-called dead-air region in the front portion of the bubble corresponded to a region of small disturbance amplitudes, with the amplitude reaching a maximum value close to the reattachment point. An exponential growth rate of the disturbance was seen in the region upstream of the mean maximum height of the bubble, and this was indicative of a linear instability mechanism at work. An infinitesimal disturbance was impulsively introduced into the boundary layer upstream of separation location, and the wave packet was tracked (in an ensemble-averaged sense) while it was getting advected downstream. The disturbance was found to be convective in nature. Linear stability analyses (both the Orr-Sommerfeld and Rayleigh calculations) were performed for mean velocity profiles, starting from an attached adverse-pressure-gradient boundary layer all the way up to the front portion of the separation-bubble region (i.e. up to the end of the dead-air region in which linear evolution of the disturbance could be expected). The conclusion from the present work is that the primary instability mechanism in a separation bubble is inflectional in nature, and its origin can be traced back to upstream of the separation location. In other words, the inviscid inflectional instability of the separated shear layer should be logically seen as an extension of the instability of the upstream attached adverse-pressure-gradient boundary layer. This modifies the traditional view that pegs the origin of the instability in a separation bubble to the detached shear layer Outside the bubble, with its associated Kelvin-Helmholtz mechanism. We contendthat only when the separated shear layer has moved considerably away from the wall (and this happens near the maximum-height location of the mean bubble), a description by the Kelvin-Helmholtz instability paradigm, with its associated scaling principles, Could become relevant. We also propose a new scaling for the most amplified frequency for a wall-bounded shear layer in terms of the inflection-point height and the vorticity thickness and show it to be universal.

Kurt and Hans Ludwig (Hal) Gottschalk on "skateboards" in front of Kurhaus Brunig; Norderney, Germany. Portraits Children

Left: Kurt Gottschalk; right: Hans Ludwig (Hal) Gottschalk

Gottschalk family on vacation in front of Kurhaus Brunig; Norderney, Germany.

From left to right: man with camera: Karl Gottschalk; sitting on stairs: Fritz Gottschalk, unidentified woman, Therese Gottschalk nee Molling, Hans Ludwig, Kurt Gottschalk, unidentified woman (maid?) and Elizabeth Gottschalk

Lola Gruenthal, in front of the house Portraits women

"In front of the house September" on verso

Albert Einstein (front row, third from right) in school group portrait Portraits Groups

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Portrait of unidentified man wearing medals and holding rifle, standing in front of shooting target Portraits Men

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Choice of the End Functional Groups in Tri(p-phenylenevinylene) Derivatives Controls Its Physical Gelation Abilities

New supramolecular organogels based on all-trans-tri(p-phenylenevinylene) (TPV) systems possessing different terminal groups, e.g., oxime, hydrazone, phenylhydrazone, and semicarbazone have been synthesized. The self-assembly properties of the compounds that gelate in specific organic solvents and the aggregation motifs of these molecules in the organogels were investigated using UV−vis, fluorescence, FT-IR, and 1H NMR spectroscopy, electron microscopy, differential scanning calorimetry (DSC), and rheology. The temperature variable UV−vis and fluorescence spectroscopy in different solvents clearly show the aggregation pattern of the self-assemblies promoted by hydrogen bonding, aromatic π-stacking, and van der Waals interactions among the individual TPV units. Gelation could be controlled by variation in the number of hydrogen-bonding donors and acceptors in the terminal functional groups of this class of gelators. Also wherever gelation is observed, the individual fibers in gels change to other types of networks in their aggregates depending on the number of hydrogen-bonding sites in the terminal functions. Comparison of the thermal stability of the gels obtained from DSC data of different gelators demonstrates higher phase transition temperature and enthalpy for the hydrazone-based gelator. Rheological studies indicate that the presence of more hydrogen-bonding donors in the periphery of the gelator molecules makes the gel more viscoelastic solidlike. However, in the presence of more numbers of hydrogen-bonding donor/acceptors at the periphery of TPVs such as with semicarbazone a precipitation as opposed to gelation was observed. Clearly, the choice of the end functional groups and the number of hydrogen-bonding groups in the TPV backbone holds the key and modulates the effective length of the chromophore, resulting in interesting optical properties.

Increasing vegetable consumption: a means-end chain approach

Purpose – The purpose of this study is to illustrate how means-end chain theory can inform communications that effectively convey the health messages of vegetable consumption to various publics. Design/methodology/approach – Laddering interviews were conducted with 61 participants who consumed at least two serves of vegetables a day and were responsible in part or whole for shopping in their household. A means-end chain value map was then constructed using mecanalyst software. Findings – Using means-end theory, an example communications strategy was developed from the dominant chain. The health and wellness features that respondents associated with vegetables were “freshness”, a “source of vitamins and minerals”, and “high nutritional value”. In the mind of the consumer, these features were linked to the benefit concept “maintain energy and vitality”, which in turn was connected to the consequence “maintain an active life”. The end-states or goals participants ultimately connected to the health and wellness features of vegetables were that of “enjoy life” and “achieve goals”. Research limitations/implications – The research is limited in so far as subjects who consume less than two serves of vegetables are not recruited for this study. Practical implications – It is suggested that social marketing initiatives designed to increase vegetable consumption may base messages on health-related values or end-states of being to resonate more effectively with consumers. Social implications – High vegetable consumption is associated with a reduced risk of chronic disease. Effective strategies designed to increase vegetable consumption amongst populations may reduce the burden on health systems. Originality/value – This study illustrates how consumers' cognitive processes can inform social marketing communications.

Elizabeth Krakauer nee Gottschalk with her mother-in-law Auguste Krakauer nee Mayer in front of a house.

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Ernest Krakauer (left) with an unidentified man in front of a 1934 Plymouth; Germany.

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Walter, Ursula and Freddy, three of Fritz Gottschalk's children dressed in costumes in front of a dollhouse; Hannover, Germany.

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Fritz Gottschalk's family in front of the hotel Kurhaus Brunig, Norderney; Germany.

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Alfred Lichtenstein standing in front of a billboard advertising him and others; Berlin.

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