Two-dimensional dam break flows of Herschel-Bulkley fluids: The approach to the arrested state

G. P. Matson, A. J. Hogg*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

33 Citations (Scopus)

Abstract

Dam break flows of viscoplastic fluids are studied theoretically using a Herschel-Bulkley constitutive law and a lubrication model of the motion. Following initiation these fluids are gravitationally driven out of the lock in which they had resided. Their motion is eventually arrested because they exhibit a yield stress and they attain a stationary state in which the gravitational forces are in equilibrium with the yield stress. We study the evolution of these flows from initiation to arrest by integrating the equations of motion numerically. We demonstrate that the final arrested state is approached asymptotically and find analytically that the perturbations to the final state decay algebraically with time as 1/t(Il), where n is the power index of the Herschel-Bulkley model.
Translated title of the contributionTwo-dimensional dam break flows of Herschel-Bulkley fluids: The approach to the arrested state
Original languageEnglish
Pages (from-to)79 - 94
Number of pages16
JournalJournal of Non-Newtonian Fluid Mechanics
Volume142
Issue number1-3
DOIs
Publication statusPublished - 16 Mar 2007

Bibliographical note

Publisher: Elsevier

Keywords

  • Arrested state
  • Dam break flow
  • Free-surface flow
  • Viscoplastic fluid
  • Yield stress

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