On the origin of the circular hydraulic jump in a thin liquid film
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Authors
Bhagat, RK
Jha, NK
Linden, PF
Wilson, DI
Publication Date
2018Journal Title
Journal of Fluid Mechanics
ISSN
0022-1120
Publisher
Cambridge University Press (CUP)
Volume
851
Pages
R5
Type
Article
Metadata
Show full item recordCitation
Bhagat, R., Jha, N., Linden, P., & Wilson, D. (2018). On the origin of the circular hydraulic jump in a thin liquid film. Journal of Fluid Mechanics, 851 R5. https://doi.org/10.1017/jfm.2018.558
Abstract
For more than a century, it has been believed that all hydraulic jumps are
created due to gravity. However, we found that thin-film hydraulic jumps are
not induced by gravity. This study explores the initiation of thin-film
hydraulic jumps. For circular jumps produced by the normal impingement of a jet
onto a solid surface, we found that the jump is formed when surface tension and
viscous forces balance the momentum in the film and gravity plays no
significant role. Experiments show no dependence on the orientation of the
surface and a scaling relation balancing viscous forces and surface tension
collapses the experimental data. Experiments on thin film planar jumps in a
channel also show that the predominant balance is with surface tension,
although for the thickness of the films we studied gravity also played a role
in the jump formation. A theoretical analysis shows that the downstream
transport of surface tension energy is the previously neglected, critical
ingredient in these flows and that capillary waves play the role of gravity
waves in a traditional jump in demarcating the transition from the
supercritical to subcritical flow associated with these jumps.
Relationships
Is supplemented by: https://doi.org/10.17863/CAM.25933
Sponsorship
Commonwealth Scholarship Commission, EPSRC grant EP/K50375/1
Funder references
EPSRC (EP/K503757/1)
Identifiers
External DOI: https://doi.org/10.1017/jfm.2018.558
This record's URL: https://www.repository.cam.ac.uk/handle/1810/284149
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