Journal ArticleDOI
Film flow on a rotating disk
Reads0
Chats0
TLDR
In this article, the authors analyzed how a film of uniform thickness thins when the disk is set in steady rotation and showed that the leading order term in the long-time-scale solution for the transient film thickness is a lower bound for film thickness for all time.Abstract:
Unsteady liquid film flow on a rotating disk is analyzed by asymptotic methods for low and high Reynolds numbers. The analysis elucidates how a film of uniform thickness thins when the disk is set in steady rotation. In the low Reynolds number analysis two time scales for the thinning film are identified. The long‐time‐scale analysis ignores the initial acceleration of the fluid layer and hence is singular at the onset of rotation. The singularity is removed by matching the long‐time‐scale expansion for the transient film thickness with a short‐time‐scale expansion that accounts for fluid acceleration during spinup. The leading order term in the long‐time‐scale solution for the transient film thickness is shown to be a lower bound for film thickness for all time. A short‐time analysis that accounts for boundary layer growth at the disk surface is also presented for arbitrary Reynolds number. The analysis becomes invalid either when the boundary layer has a thickness comparable to that of the thinning film, or when nonlinear effects become important.read more
Citations
More filters
Flow of thin liquid fllm over a rough rotating disk in the presence of a transverse magnetic fleld
Physik Zamp,R. Usha,B. Uma +2 more
TL;DR: In this article, the development of a viscous conducting ∞uid over a rough spinning disk in the presence of a transverse magnetic fleld has been analyzed for difierent patterns of surface roughness of the disk and difirerent initial distributions of the height of the liquid lubricant.
Book ChapterDOI
Spin Coating of Non-Newtonian Nanofluid with Silver and Copper as Nanoparticle
TL;DR: In this paper , the behavior of the flow and film thickness variation of non-Newtonian nanofluid during spin coating process is discussed, taking silver and copper as a nanoparticle and sodium alginate as a base fluid.
Book ChapterDOI
Thermal Effects of CNTs Nanoliquid Film Flow During Spin Coating
Swatilekha Nag,S. Maity +1 more
TL;DR: In this article, the authors investigated water-based carbon nanotubes (CNTs) nanoliquid film flow over a horizontal rotating disk and found that the film thinning rate reduces for the higher values of the CNTs volume fraction.
References
More filters
Book
Introduction to perturbation techniques
TL;DR: In this paper, the authors introduce the notion of forced Oscillations of the Duffing Equation and the Mathieu Equation for weakly nonlinear systems with quadratic and cubic nonlinearities.
Journal ArticleDOI
Über laminare und turbulente Reibung
Journal ArticleDOI
Flow of a Viscous Liquid on a Rotating Disk
TL;DR: In this paper, it was shown that initially irregular fluid distributions tend toward uniformity under centrifugation, and means of computing times required to produce uniform layers of given thickness at given angular velocity and fluid viscosity are demonstrated.
Journal ArticleDOI
Characteristics of resist films produced by spinning
TL;DR: In this article, a model for the description of thin films prepared from solution by spinning is presented, and the thickness of the film and the time of drying can be calculated as functions of various processing parameters.