Abstract
A mathematical model of a fluctuating Burke-Schumann spray-diffusion flame is presented. A sectional approach is utilized to describe the spray of droplets. An analytic solution is presented for a periodically alternating supply of liquid/vapor fuel. Calculated data highlight the dynamics of the flame envelope under the fluctuating supply condition, as well as its sensitivity to liquid-fuel volatility and droplet size (expressed through a nondimensional Damkohler number for evaporation). The predicted flame shape dynamics is rather similar, qualitatively, to some experimental evidence in which flame growth and collapse are observed.
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Greenberg, J., Cohen, R. Dynamics of a pulsating spray-diffusion flame. Journal of Engineering Mathematics 31, 397–409 (1997). https://doi.org/10.1023/A:1004249317194
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DOI: https://doi.org/10.1023/A:1004249317194