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Lookup NU author(s): Professor Nilanjan ChakrabortyORCiD, Dr Markus Klein
This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
© The Author(s) 2025. A scaling relation has been derived to link the fractal dimension of a flame surface with the ratio of the normalised 3D flame surface area to its 2D counterpart. This derivation assumes an isotropic distribution of angles between the measurement plane and the flame’s normal vector, as well as a uniform distribution of angles between the principal direction and the flame’s tangent vector. The validity of the newly derived relation was assessed using an existing Direct Numerical Simulation (DNS) database of statistically planar turbulent premixed flames, encompassing a range of different Karlovitz numbers. The DNS data-based assessment revealed that the newly derived relations are reasonably accurate for the thin reaction zones regime flames, with the precision of predictions based on isotropy improving, as the Karlovitz number increases. Moreover, 2D measurements of the flame surface fractal dimension and the flame wrinkling factor can be effectively used to predict the actual 3D flame wrinkling factor for flames with Karlovitz numbers much greater than unity. Alternatively, the ratio of the 3D wrinkling factor to its 2D counterpart can provide a reasonable estimate of the 3D fractal dimension for flames in the thin reaction zones regime. The newly derived relations provide an estimation for the value of fractal dimension in the limit of high Karlovitz number using an alternative route.
Author(s): Chakraborty N, Klein M
Publication type: Article
Publication status: Published
Journal: Flow, Turbulence and Combustion
Year: 2025
Volume: 115
Pages: 917-926
Print publication date: 01/08/2025
Online publication date: 12/06/2025
Acceptance date: 20/05/2025
Date deposited: 20/05/2025
ISSN (print): 1386-6184
ISSN (electronic): 1573-1987
Publisher: Springer Nature
URL: https://doi.org/10.1007/s10494-025-00670-7
DOI: 10.1007/s10494-025-00670-7
Data Access Statement: No datasets were generated or analysed during the current study.
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