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Local gas holdup data were obtained from the values of light absorbance measured by the first probe and the average values of bubble chord length (vertical bubble dimension) were then calculated from respective values of local gas holdup and bubble frequency data determined at given working conditions by the auxiliary probe.
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The bubble dimensions changed obviously during the bubble-forming and bubble-flowing stages.
For this purpose, bubble dimensions and gas-liquid cell volumes have been determined from the experimental images.
AFM measurements confirm the bubble dimensions and show that they are mechanically softer than graphene on copper.
As for the bubble dimensions modelling, besides the mono-dispersed assumption, a population balance method, named MUSIG, with bubble break-up and coalescence models is considered.
The videos were used to estimate bubble dimensions, its rise velocity, distance from the detachment point, and fraction of vapor and the liquid phases in the evaporating drop.
The bubble boundary dimension decreases as the fluidization velocity increases.
Specifically, the bubble principal dimensions and the temperature distribution over the heat-transfer surface are in good agreement with experimental data.
Keeping the notation of the proof of Theorem 1.2 and regarding the expansion of the functional J, we observe that the strong interaction of the bubbles in dimensions n < 2 + 2 σ forces all blow up points to be single.
In this paper we construct critical sequences at any level c>12 corresponding to a large family of distinct concentration profiles, indexed by closed subsets C of (0,1), that arise in the two-dimensional case instead of the "standard bubble" in higher dimensions.
It's like being sealed in a Perspex bubble in a parallel dimension, able to move around, go to work, watch others who are living, but not able to join in.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com