Polydisperse particle-driven gravity currents

Thomas C. Harris*, Andrew J. Hogg, Herbert E. Huppert

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

37 Citations (Scopus)

Abstract

The intrusion of a polydisperse suspension of particles over a horizontal, rigid boundary is investigated theoretically using both an integral ('box') model and the shallow-water equations. The flow is driven by the horizontal pressure gradient associated with the density difference between the intrusion and the surrounding fluid, which is progressively diminished as suspended particles sediment from the flow to the underlying boundary. Each class of particles in a polydisperse suspension has a different settling velocity. The effects of both a discrete and continuous distribution of settling velocities on the propagation of the current are analysed and the results are compared in detail with results obtained by treating the suspension as monodisperse with an average settling velocity. For both models we demonstrate that in many regimes it is insufficient to deduce the behaviour of the suspension from this average, but rather one can characterize the flow using the variance of the settling velocity distribution as well. The shallow-water equations are studied analytically using a novel asymptotic technique, which obviates the need for numerical integration of the governing equations. For a bidisperse suspension we explicitly calculate the flow speed, runout length and the distribution of the deposit, to reveal how the flow naturally leads to a vertical and streamwise segregation of particles even from an initially well-mixed suspension. The asymptotic results are confirmed by comparison with numerical integration of the shallow-water equations and the predictions of this study are discussed in the light of recent experimental results and field observations.

Translated title of the contributionPolydisperse particle-driven gravity currents
Original languageEnglish
Pages (from-to)333-371
Number of pages39
JournalJournal of Fluid Mechanics
Volume472
Issue number472
DOIs
Publication statusPublished - 10 Dec 2002

Bibliographical note

Publisher: Cambridge University Press

Fingerprint Dive into the research topics of 'Polydisperse particle-driven gravity currents'. Together they form a unique fingerprint.

Cite this