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Preparation of Free-Surface Hyperbolic Water Vortices
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Shallow free-surface Stokes flow around a corner.

Edward M Hinton1, Andrew J Hogg2, Herbert E Huppert3

  • 1Bullard Laboratories, University of Cambridge, Cambridge CB3 0EZ, UK.

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|June 9, 2020
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Summary
This summary is machine-generated.

Researchers studied viscous fluid flow on inclined planes. They found a simple expression to predict flow detachment, aiding in designing barriers for lava flows.

Keywords:
gravity currentslava flowsviscous flows

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Area of Science:

  • Fluid dynamics
  • Rheology
  • Geophysics

Background:

  • Investigating free-surface viscous flow on inclined planes is crucial for understanding natural phenomena like lava flows.
  • The behavior of fluids spreading and detaching from channels with varying geometry presents complex challenges in fluid mechanics.

Purpose of the Study:

  • To analytically, numerically, and experimentally investigate the steady lateral spreading of a free-surface viscous flow down an inclined plane.
  • To model fluid motion using lubrication theory and determine the flow detachment point as a function of channel opening angle.
  • To discuss implications for designing barriers to divert hazardous flows, such as lava flows.

Main Methods:

  • Utilizing lubrication theory to model the viscous fluid flow.
  • Employing analytical and numerical methods to compute the flow detachment distance.
  • Conducting laboratory experiments to corroborate theoretical and numerical findings.

Main Results:

  • The study accurately models the viscous flow detachment using lubrication theory.
  • A similarity solution effectively describes the fluid motion far downslope after detachment.
  • A simple expression provides a good approximation for the detachment point across various channel opening angles.

Conclusions:

  • The developed model and findings offer a reliable method for predicting viscous flow detachment.
  • The research provides valuable insights for the engineering of effective barriers for lava flow diversion.
  • This work contributes to the fundamental understanding of free-surface viscous flows in expanding geometries.