Influence of a Standing Wave Flow-Field on the Dynamics of a Spray Diffusion Flame

Barry Greenberg, David Katoshevski

    Research output: Contribution to journalArticlepeer-review


    A theoretical investigation of the influence of a standing wave flow-field on the dynamics of a laminar two-dimensional spray diffusion flame is presented for the first time. The mathematical analysis permits mild slip between the droplets and their host surroundings. For the liquid phase, the use of a small Stokes number as the perturbation parameater enables a solution of the governingequations to be developed. Influence of the standing wave flow-field on droplet grouping is described by a specially constructed modification of the vaporization Damkohler number. Instantaneous flame front shapes are found via a solution for the usual Schwab–Zeldovitch parameter. Numerical results obtained from the analytical solution uncover the strong bearing that droplet grouping, induced bythe standing wave flow-field, can have on flame height, shape, and type (over- or under-ventilated)and on the existence of multiple flame fronts.
    Original languageEnglish
    Article number27
    Issue number27
    StatePublished - 6 Jan 2021


    • Spray combustion
    • diffusion flames
    • Modeling
    • droplet grouping


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