Abstract
In this series of articles, the authors discuss various phenomena in fluid dynamics, which may be investigated via tabletop experiments using low-cost or home-made instruments. The thirteenth article in this series demonstrates some experiments with Hele–Shaw cells.
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H Hele–Shaw, Investigation of the Nature of the Surface Resistance of Water and of Stream-line Motion Under Certain Experimental Conditions, Trans. Soc. Inst. Nav. Archit., Vol.40, p.2, 1898.
Jearl Walker, Amateur Scientist: Fluid Interfaces, Including Fractal Flows, Can Be Studied in a Hele–Shaw Cell, Sci. Amer., October, p.134, 1987
Jearl Walker, Amateur Scientist: How to Build a Hele–Shaw Cell and Watch Bubbles Playing Tag in a Viscous Fluid, Sci. Amer., October, p.116, 1989.
A Brief Demonstration of the Hele–Shaw Cell May Be Found in the Movie “Low Reynolds Number Flows” by G Taylor which is part of the series produced by the National Committee for Fluid Mechanics Films (United States) available online at: mit.edu/hml/ncfmf.html
E Guyon, J Hulin, L Petit and C Mitescu, Physical Hydrodynamics, Oxford University Press, 2nd ed., 2015.
P Saffman and G Taylor, The Penetration of a Fluid into a Porous Medium or Hele–Shaw Cell Containing a More Viscous Liquid, Proc. Roy. Soc. Lond. A., Vol.245, p.312, 1958.
P Saffman, Viscous Fingering in Hele–Shaw Cells, J. Fluid Mech., Vol.173, p.73, 1986.
P Meakin, Fractals Scaling and Growth Far From Equilibrium, Cambridge University Press, 1998.
W Drenckhan, S Gatz and D Weaire, Wave Patterns of a Rivulet of Surfactant Solution in a Hele–Shaw Cell, Phys. Fluids., Vol.16, p.3115, 2004.
A novel labyrinth instability may be observed by sandwiching a drop of ferro fluid between two glass slides and placing a strong permanent magnet under the glass slide, as seen in the video: youtube.com/watch?v=XMdOD8cr7oA
Injection of a gas into a wet granular material in a Hele–Shaw cell shows unusual fingering patterns, see the video: youtube.com/watch?v=C7D-JXzdW6c
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Behera, B., Kalelkar, C. The Inveterate Tinkerer. Reson 23, 601–607 (2018). https://doi.org/10.1007/s12045-018-0653-8
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DOI: https://doi.org/10.1007/s12045-018-0653-8