• Corpus ID: 235367759

Planar hydraulic jumps in thin films: a regular solution against experiments

@inproceedings{Lukyanov2021PlanarHJ,
  title={Planar hydraulic jumps in thin films: a regular solution against experiments},
  author={Alex V. Lukyanov and Tristan Pryer and Edward Killwick Calver},
  year={2021}
}
The formation of a planar hydraulic jump has been analysed in the framework of a full depthaveraged thin film model (DAM) with surface tension effects included. We have demonstrated regular weak solutions of the full DAM and analysed surface tension effects. It has been shown that surface tension effects within the parameter range relevant to the recent experiments are expected to be very weak and practically negligible. The developed methodology can be used in the analysis of laminar flow… 

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References

SHOWING 1-10 OF 31 REFERENCES
On the origin of the circular hydraulic jump in a thin liquid film
This study explores the formation of circular thin-film hydraulic jumps caused by the normal impact of a jet on an infinite planar surface. For more than a century, it has been believed that all
A stationary circular hydraulic jump, the limits of its existence and its gasdynamic analogue
  • A. Kasimov
  • Engineering
    Journal of Fluid Mechanics
  • 2008
We propose a theory of a steady circular hydraulic jump based on the shallow-water model obtained from the depth-averaged Navier–Stokes equations. The flow structure both upstream and downstream of
On the origin and structure of a stationary circular hydraulic jump
To elucidate the role played by surface tension on the formation and on the structure of a circular hydraulic jump, the results from three different approaches are compared: the shallow-water (SW)
Hydraulic jump in one-dimensional flow
Abstract.In the presence of viscosity the hydraulic jump in one dimension is seen to be a first-order transition. A scaling relation for the position of the jump has been determined by applying an
The hydraulic jump in circular jet impingement and in other thin liquid films
The circular hydraulic jump exhibits behavior quite different from that commonly observed in planar jumps. Here we examine experimentally some of the causes and consequences of those differences. We
Planar hydraulic jumps in thin film flow
We reformulate shallow water theory to understand viscous shear induced natural hydraulic jumps in channels slightly deviated from the horizontal. One of the interesting contributions of the study is
Constant Froude number in a circular hydraulic jump and its implication on the jump radius selection
The properties of a standard hydraulic jump depend critically on a Froude number Fr defined as the ratio of the flow velocity to the gravity waves speed. In the case of a horizontal circular jump,
Surface tension and the origin of the circular hydraulic jump in a thin liquid film
It was recently claimed by Bhagat et al. J. Fluid Mech. vol. 851 (2018), R5 that the scientific literature on the circular hydraulic jump in a thin liquid layer is flawed by improper treatment and
Hydraulic jumps in a channel
We present a study of hydraulic jumps with flow predominantly in one direction, created either by confining the flow to a narrow channel with parallel walls or by providing an inflow in the form of a
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