The spin coating of thin (> 200 nm thick) and ultrathin (< 200 nm thick) polymer films is examined in several solvents of varying volatility over a broad range of polymer solution concentrations and spin speeds. Experimentally measured film thicknesses are compared with a simple model proposed by Bornside, Macosko, and Scriven, which predicts film thickness based on the initial properties of the polymer solution, solvent, and spin speed. This model is found to predict film thickness values within 10% over the entire range of conditions explored, which gave film thicknesses from 10 nm to 33 μ:m. The model underpredicts film thickness for cases in which a very volatile solvent is used or the initial concentration of polymer is high, while overpredicting film thickness for cases in which a low volatility solvent is used or the initial polymer concentration is very low. These deviations are a consequence of how the model decouples fluid flow and solvent evaporation.
Populations of swimming micro-organisms produce fluid motions that lead to dramatically enhanced diffusion of tracer particles. Using simulations of suspensions of swimming particles in a periodic domain, we capture this effect and show that it depends qualitatively on the mode of swimming: swimmers "pushed" from behind by their flagella show greater enhancement than swimmers that are "pulled" from the front. The difference is manifested by an increase, that only occurs for pushers, of the diffusivity of passive tracers and the velocity correlation length with the size of the periodic domain. A physical argument supported by a mean field theory sheds light on the origin of these effects.
Low Reynolds number direct simulations of large populations of hydrodynamically interacting swimming particles confined between planar walls are performed. The results of simulations are compared with a theory that describes dilute suspensions of swimmers. The theory yields scalings with concentration for diffusivities and velocity fluctuations as well as a prediction of the fluid velocity spatial autocorrelation function. Even for uncorrelated swimmers, the theory predicts anticorrelations between nearby fluid elements that correspond to vortex-like swirling motions in the fluid with length scale set by the size of a swimmer and the slit height. Very similar results arise from the full simulations indicating either that correlated motion of the swimmers is not significant at the concentrations considered or that the fluid phase autocorrelation is not a sensitive measure of the correlated motion. This result is in stark contrast with results from unconfined systems, for which the fluid autocorrelation captures large-scale collective fluid structures. The additional length scale (screening length) introduced by the confinement seems to prevent these large-scale structures from forming.
Centrifugal
jet spinning (CJS) is a highly efficient, low-cost, and versatile
method for fabricating polymer nanofiber assemblies, especially in
comparison to electrospinning. The process uses centrifugal forces
coupled with the viscoelastic properties and the mass transfer characteristics
of spinning solutions to promote the controlled thinning of a polymer
solution filament into nanofibers. In this study, three different
spinning stages (jet initiation, jet extension, and fiber formation)
were analyzed in terms of the roles of fluid viscoelasticity, centrifugal
forces, and solvent mass transfer. Four different polymer solution
systems were used, which enables a wide range of fluid viscoelasticity
properties and solvent mass transfer properties, and polymer fibers
were fabricated under different rotational speeds for these polymer
solutions. The key dimensionless groups that determine the product
morphology (beads, beads-on-fiber, and continuous fiber) and the radius
of the fiber (when fibers are formed) were identified. The obtained
morphology state diagram and fiber radius model were tested using
a fifth polymer solution system. Results indicate that Weissenberg
number and capillary number are important during the fiber extension
stage to enable fiber formation while the elastic processability number
is the determinative dimensionless number for fiber diameter prediction.
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