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In this paper, materials, instruments, and services are specified in order to give a detailed account to the work and do not imply an endorcement by NIST or the Federal Government
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85008366439
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1/2, where φ is the area fraction of droplets. Based on the measured (mean) area fractions obtained from the images, this simple formula gives φ = 0.20, 0.35 and 0.75 for true volume fractions of 0.20, 0.40, and 0.80, respectively, ensuring that the procedure. although approximate, is consistent
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28
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85008410835
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note
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This asymmetry, although not immediately evident in the upper-left micrograph of Fig. 2, can be seen in the local director field in the lower-right panel. Some asymmetry of this type was invariably present in many of the images, although to varying degrees. The peaks are not artifacts, in the sense that the positions are reproducible and insensitive to the degree of asymmetry, which is controlled by slightly varying the angle between the axis of illumination and ŷ. We note, however, that when p(θ) is broadly peaked around the vorticity direction (Θ = 0), our data are not of sufficient quality to resolve any true higher-order peaks in the distribution, and Θ must be regarded aa cutoff in this case
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31
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85008375566
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note
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When the matrix phase is more elastic than the droplet phase, it can be argued (see E. K. Hobbie and K. B. Migler, Ref. 9) that the tendency for vorticity elongation is replaced by vorticity contraction, which might favor domains that are extended along the flow direction
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