Unsteady turbulent line plumes

Andrew Hogg, Edward Goldsmith, Mark Woodhouse

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

1 Citation (Scopus)
303 Downloads (Pure)


The unsteady ascent of a buoyant, turbulent line plume through a quiescent, uniform environment is modelled in terms of the width-averaged vertical velocity and density deficit. It is demonstrated that for a well-posed, linearly stable model, account must be made for the horizontal variation of the velocity and the density deficit; in particular the variance of the velocity field and the covariance of the density deficit and velocity fields, represented through shape factors, must exceed threshold values, and that models based upon ‘top-hat’ distributions in which the dependent fields are piecewise constant are ill-posed. Numerical solutions of the nonlinear governing equations are computed to reveal that the transient response of the system to an instantaneous change in buoyancy flux at the source may be captured through new similarity solutions, the form of which depend upon both the ratio of the old to new buoyancy fluxes and the shape factors.
Original languageEnglish
Pages (from-to)103-134
Number of pages32
JournalJournal of Fluid Mechanics
Early online date28 Sept 2018
Publication statusPublished - 10 Dec 2018


  • plumes/thermals
  • turbulent convection
  • turbulent flows


Dive into the research topics of 'Unsteady turbulent line plumes'. Together they form a unique fingerprint.

Cite this