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Unsteady turbulent line plumes

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)103-134
Number of pages32
JournalJournal of Fluid Mechanics
Volume856
Early online date28 Sep 2018
DateAccepted/In press - 14 Aug 2018
DateE-pub ahead of print - 28 Sep 2018
DatePublished (current) - 10 Dec 2018

Abstract

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.

    Research areas

  • plumes/thermals, turbulent convection, turbulent flows

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  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Cambridge University Press at https://doi.org/10.1017/jfm.2018.698 . Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 3 MB, PDF document

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