Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Journal articles
  4. The dam-break problem for Herschel-Bulkley viscoplastic fluids down steep flumes
 
research article

The dam-break problem for Herschel-Bulkley viscoplastic fluids down steep flumes

Ancey, C.  
•
Cochard, S.  
2009
Journal of Non-Newtonian Fluid Mechanics

In this paper we investigate the dam-break problem for viscoplastic (Herschel- Bulkley) fluids down a sloping flume: a fixed volume of fluid initially contained in a reservoir is released onto a slope and flows driven by gravitational forces until these forces are unable to overcome the fluid’s yield stress. Like in many earlier investigations, we use lubrication theory and matched asymptotic expansions to de- rive the evolution equation of the flow depth, but with a different scaling for the flow variables, which makes it possible to study the flow behavior on steep slopes. The evolution equations takes on the form a nonlinear diffusion-convection equation. To leading order, this equation simplifies into a convection equation and reflects the balance between gravitational forces and viscous forces. After presenting analytical and numerical results, we compare theory with experimental data obtained with a long flume. We explore a fairly wide range of flume inclinations from 6° to 24° , while the initial Bingham number lies in the 0.07–0.26 range. Good agreement is found at the highest slopes, where both the front position and flow-depth profiles are properly described by theory. In contrast, at the lowest slopes, theoretical pre- dictions substantially deviate from experimental data. Discrepancies may arise from the formation of unsheared zones or lateral levees that cause slight flow acceleration.

  • Files
  • Details
  • Metrics
Type
research article
DOI
10.1016/j.jnnfm.2008.08.008
Web of Science ID

WOS:000265317500004

Author(s)
Ancey, C.  
Cochard, S.  
Date Issued

2009

Published in
Journal of Non-Newtonian Fluid Mechanics
Volume

158

Issue

18-35

Start page

18

End page

35

Subjects

lubrication theory

•

plasticity

•

yield stress

•

shallow-flow equations

•

Herschel-Bulkley model

URL

URL

http://lhe.epfl.ch/articles-fr.html
Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LHE  
Available on Infoscience
March 9, 2009
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/35804
Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés