Fluid Mechanics 2016
DOI: 10.1016/b978-0-12-405935-1.00014-9
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Aerodynamics

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Cited by 119 publications
(191 citation statements)
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“…In addition to this mechanical constraint, an upward pressure force due to lubrication between the particles and the wall may become significant when the distance is less than one major axis length, which would suppress both the concentration and settling velocity in this region (Kundu et al. 2012). The lubrication effect would be stronger for disks than fibres due to their larger planar area, which may explain why the near-wall concentration deficit is larger for disks than for fibres.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…In addition to this mechanical constraint, an upward pressure force due to lubrication between the particles and the wall may become significant when the distance is less than one major axis length, which would suppress both the concentration and settling velocity in this region (Kundu et al. 2012). The lubrication effect would be stronger for disks than fibres due to their larger planar area, which may explain why the near-wall concentration deficit is larger for disks than for fibres.…”
Section: Resultsmentioning
confidence: 99%
“…One mechanism for particle tumbling near the wall is the direct interaction with the wall itself. Due to the particles’ extended dimensions and finite slip velocity, friction due to direct contact or lubrication (Kundu, Cohen & Dowling 2012) with the wall could exert significant torques on particles. To isolate the effect of wall contact, we consider particles located within one semimajor axis length from the wall and compare between those that are contacting the wall and those that are not.…”
Section: Resultsmentioning
confidence: 99%
“…However, since the heat source (namely, the cotton patch) is positioned on the wall of the cuvette, where the liquid flow vanishes (due to the no-slip boundary condition), the heat gradients in the vicinity of the heat source are not reduced as efficiently by the stirring as in the bulk of the sample. Indeed, Figure (a) shows that the azimuthal flow velocity (parallel to the cuvette wall) forms the well-known boundary layer , whereby the flow velocity drops linearly toward the cuvette wall. As a result, heat drainage away from the heat source position is not as effective as in other parts of the sample.…”
Section: Representative Analysismentioning
confidence: 97%
“…Previous theoretical approaches to this problem have either been in terms of variables that are difficult to control experimentally, such as the array growth rate, or have only analyzed the dominant interactions, without providing practical guidelines for the fabrication of these structures . To capture the effect of the relevant parameters in the opal coverage, we studied the fluid dynamics of the self-assembly process with the lubrication approximation , (a detailed derivation is provided in Section S5 of the Supporting Information). This approach allows us to obtain a governing equation for the effect of gravity and evaporation on the evolution of the liquid thickness over the substrate h ( x , t )­ where μ, ρ, and ṁ evap ″ are the viscosity, density, and evaporation flux (kg/m 2 s) of the solution, respectively.…”
Section: Resultsmentioning
confidence: 99%