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http://hdl.handle.net/10397/106470
Title: | A vortex-dynamical scaling theory for flickering buoyant diffusion flames | Authors: | Xia, X Zhang, P |
Issue Date: | 25-Nov-2018 | Source: | Journal of fluid mechanics, 25 Nov. 2018, v. 855, p. 1156-1169 | Abstract: | The flickering of buoyant diffusion flames is associated with the periodic shedding of toroidal vortices that are formed under gravity-induced shearing at the flame surface. Numerous experimental investigations have confirmed the scaling, f ∝ D−1/2, where f is the flickering frequency and D is the diameter of the fuel inlet. However, the connection between the toroidal vortex dynamics and the scaling has not been clearly understood. By incorporating the finding of Gharib et al. (J. Fluid Mech., vol. 360, 1998, pp. 121–140) that the detachment of a continuously growing vortex ring is inevitable and can be dictated by a universal constant that is essentially a non-dimensional circulation of the vortex, we theoretically established the connection between the periodicity of the toroidal vortices and the flickering of a buoyant diffusion flame with small Froude number. The scaling theory for flickering frequency was validated by the existing experimental data of pool flames and jet diffusion flames. | Keywords: | Flames Instability Vortex flows |
Publisher: | Cambridge University Press | Journal: | Journal of fluid mechanics | ISSN: | 0022-1120 | EISSN: | 1469-7645 | DOI: | 10.1017/jfm.2018.707 | Rights: | This article has been published in a revised form in Journal of Fluid Mechanics http://doi.org/10.1017/jfm.2018.707. This version is free to view and download for private research and study only. Not for re-distribution or re-use. © Cambridge University Press 2018. |
Appears in Collections: | Journal/Magazine Article |
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Xia_Vortex-Dynamical_Scaling_Theory.pdf | Pre-Published version | 2.26 MB | Adobe PDF | View/Open |
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