2009
DOI: 10.1103/physreve.79.026307
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Coalescence of low-viscosity fluids in air

Abstract: In this paper, we have established a unified framework of multistage parameter estimation. We demonstrate that a wide variety of statistical problems such as fixed-sample-size interval estimation, point estimation with error control, bounded-width confidence intervals, interval estimation following hypothesis testing, construction of confidence sequences, can be cast into the general framework of constructing sequential random intervals with prescribed coverage probabilities. We have developed exact methods fo… Show more

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Cited by 36 publications
(50 citation statements)
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“…In depth analysis indicates that the defect size in particle shells determines the exact merging behaviors: when the defect size is larger than a critical size around the particle diameter, normal coalescence will show up, while abnormal coalescence will appear for coatings with smaller defects. DOI: 10.1103/PhysRevLett.110.064502 PACS numbers: 47.55.df, 47.57.Às When two droplets come into contact, they naturally coalesce to minimize the surface energy, a phenomenon extensively studied since the 19th century [1][2][3][4][5]. A quite recent study reveals that coalescence starts from the regime controlled by inertial, viscous, and surface-tension forces [6], which is followed by either a viscous regime [7] or an inertial regime [8].…”
mentioning
confidence: 99%
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“…In depth analysis indicates that the defect size in particle shells determines the exact merging behaviors: when the defect size is larger than a critical size around the particle diameter, normal coalescence will show up, while abnormal coalescence will appear for coatings with smaller defects. DOI: 10.1103/PhysRevLett.110.064502 PACS numbers: 47.55.df, 47.57.Às When two droplets come into contact, they naturally coalesce to minimize the surface energy, a phenomenon extensively studied since the 19th century [1][2][3][4][5]. A quite recent study reveals that coalescence starts from the regime controlled by inertial, viscous, and surface-tension forces [6], which is followed by either a viscous regime [7] or an inertial regime [8].…”
mentioning
confidence: 99%
“…When two droplets come into contact, they naturally coalesce to minimize the surface energy, a phenomenon extensively studied since the 19th century [1][2][3][4][5]. A quite recent study reveals that coalescence starts from the regime controlled by inertial, viscous, and surface-tension forces [6], which is followed by either a viscous regime [7] or an inertial regime [8].…”
mentioning
confidence: 99%
“…In this paper, we use an electrical method [7,8] to observe salt water coalescence down to 10 ns after the drops touch. Our measurements are conducted at slow enough approach velocities where no drop deformation occurs.…”
mentioning
confidence: 99%
“…E ects of capillary coe cient and and are two governing parameters in this simulation; they control the interface thickness and surface tension as in Eqs. (16) and (18). Also, the density ratio is governed by as follows:…”
Section: E Ects Of Relaxation Time Parametermentioning
confidence: 99%
“…Czerski investigated sound during bubble coalescence [15]. Case et al employed an electrical method to study the coalescence of two low-viscosity droplets at early times [16,17]. Aryafar et al used an ultrafast x-ray phase-contrast imaging to investigate the early merging dynamics of two water drops in air [18].…”
Section: Introductionmentioning
confidence: 99%