On the Flow of a Non-Newtonian Liquid on a Rotating Disk

Acrivos, Andreas; Shah, M. J.; Petersen, Eugene E.

doi:10.1063/1.1735785

Cited by 176 publications

(84 citation statements)

References 3 publications

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“…To account for evaporation, Meyerhofer 2 included a correction based on the assumption that the spin-coating process consists of two different stages: (a) a ow dominated phase followed by (b) an evaporation dominated phase. There are reports 19,20 that further characterize the uid ow of non-Newtonian liquids. Later on, Cregan and O'Brien 21 considered that the solvent evaporation is simultaneous with the ow dominated phase because the solvent starts to evaporate once the suspension is pipetted on to the spinning substrate.…”

Section: Previous Resultsmentioning

confidence: 99%

Magnetorheology from surface coverage of spin-coated colloidal films

Pichumani

González-Viñas

2013

Soft Matter

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In magnetorheological fluids, the viscosity usually increases with the field and the non-Newtonian character of these complex fluids may vary significantly. We provide a new method to measure the relative viscosity of a superparamagnetic colloid, by applying a magnetic field during a spin-coating process, which involves evaporation of the solvent. We define the compact equivalent height to take into account the discrete nature of the suspension, and we compare experimental results under different conditions. We extend the model of Cregan et al. (J. Colloid Interface Sci., 2007, 314, 324) to turn it into an evaporation rate independent one. The generality of the resulting model facilitates measurement of the magnetic field dependent viscosity. We also discuss the morphologies of the final dried colloidal deposits and the possible mechanisms involved in their formation.

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Section: Previous Resultsmentioning

confidence: 99%

Magnetorheology from surface coverage of spin-coated colloidal films

Pichumani

González-Viñas

2013

Soft Matter

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“…Because of its industrial and technological relevance, liquid film planarization during spin coating has been the focus of numerous theoretical studies. [1][2][3][4] It is quite common for capillary bumps to occur during the coating process, especially in the vicinity of sharp edges on substrate features such as steps, trenches, and mounds. Stillwagon and Larson 5,6 examined the leveling and flow of epoxy and photoresist films over a silicon substrate containing axisymmetric trenches and compared the profilometric measurements to the results from a lubrication model.…”

Section: Introductionmentioning

confidence: 99%

Generalized linear stability of noninertial coating flows over topographical features

Davis

Troian

2005

Physics of Fluids

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The transient evolution of perturbations to steady lubrication flow over a topographically patterned surface is investigated via a nonmodal linear stability analysis of the non-normal disturbance operator. In contrast to the capillary ridges that form near moving contact lines, the stationary capillary ridges near trenches or elevations have only stable eigenvalues. Minimal transient amplification of perturbations occurs, regardless of the magnitude or steepness of the topographical features. The absence of transient amplification and the stability of the ridge are explained on physical grounds. By comparison to unstable ridge formation on smooth, flat, and homogeneous surfaces, the lack of closed, recirculating streamlines beneath the capillary ridge is linked to the linear stability.

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“…This pioneering work has been widely employed in the subsequent investigations on spin coating. For example, Acrivos et al [2], Jenekhe and Schuldt [3] extended the analysis of Emslie [1] to study the flow of a power-law liquid on a rotating disk. Whereas Charpin et al [4] investigated the axisymmetric spin coating of power law and Ellis fluids.…”

Section: Introductionmentioning

confidence: 99%

Thermocapillary flow of thin Cu-water nanoliquid film during spin coating process

Maity¹

2017

Int Nano Lett

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Unsteady flow of thin Cu-water nanoliquid film over a horizontal rotating disk is studied numerically using finite difference technique under the assumption of planar interface. It is also assumed that the disk is cooling axisymmetrically from below. The effects of the nanolayer thickness and nanoparticle radius are considered for investigation. It is found that the film thinning rate decreases with increase of the nanoparticle volume fraction. It is also found that thickness of liquid decreases with increase of the thermocapillary parameter. The results show that the rate of film thinning is more for the thermal conductivity model of Yu and Choi [47] compared to the model of Maxwell [46]. It is observed that the film thinning rate increases with increase of nanolayer thickness but it decreases with the nanoparticle radius. A curve R ¼ R c ðz; tÞ in R À z plane is delineated along which temperature gradient T z is zero and positive or negative according to R\R c or R [ R c respectively. Furthermore, it is shown that the region for T z [ 0 enlarges with increase of the nanoparticle volume fraction and the nanolayer thickness.

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On the Flow of a Non-Newtonian Liquid on a Rotating Disk

Cited by 176 publications

References 3 publications

Magnetorheology from surface coverage of spin-coated colloidal films

Magnetorheology from surface coverage of spin-coated colloidal films

Generalized linear stability of noninertial coating flows over topographical features

Thermocapillary flow of thin Cu-water nanoliquid film during spin coating process

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