Please use this identifier to cite or link to this item:
PIRA download icon_1.1View/Download Full Text
Title: Circulation-controlled firewhirls with differential diffusion
Authors: Yu, D 
Zhang, P 
Issue Date: Mar-2018
Source: Combustion and flame, Mar. 2018, v. 189, p. 288-299
Abstract: A flame-sheet theory for circulation-controlled firewhirls with differential diffusion is presented to investigate the effects of non-unity and unequal Lewis numbers on the flame shape and height of the firewhirls. Variable physical properties and a piecewise generalized power-law vortex model are implemented in the theory. For the fuel and oxidizer Lewis numbers being unequal but close to unity, the perturbation solutions of the Burke–Schumann-like transport equation for the Lewis-number-weighted coupling functions were obtained by using the Green's function method. The derived flame height expression not only confirms the previous discoveries, such as the Peclet number effect found by Chuah et al. (2011), the strong vortex effect by Klimenko and William (2013), and the variable density and mass diffusivity effects by Yu and Zhang (2017), but also demonstrates that the mass-diffusivity-ratio model correction newly proposed by Yu and Zhang (2017) is attributable to the leading-order non-unity Lewis number effect. The validity of the differential diffusion effects on the flame height was extended to arbitrary Lewis numbers and verified by means of the approximate far-field similarity solutions of the mixture fraction.
Keywords: Differential diffusion
Far-field similarity solution
Green's function
Non-unity Lewis number
Perturbation theory
Publisher: Elsevier Inc.
Journal: Combustion and flame 
ISSN: 0010-2180
DOI: 10.1016/j.combustflame.2017.10.040
Rights: © 2017 The Combustion Institute. Published by Elsevier Inc. All rights reserved.
© 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
The following publication Yu, D., & Zhang, P. (2018). Circulation-controlled firewhirls with differential diffusion. Combustion and Flame, 189, 288-299 is available at
Appears in Collections:Journal/Magazine Article

Files in This Item:
File Description SizeFormat 
Yu_Circulation-Controlled_Firewhirls_Differential.pdfPre-Published version1.53 MBAdobe PDFView/Open
Open Access Information
Status open access
File Version Final Accepted Manuscript
View full-text via PolyU eLinks SFX Query
Show full item record

Page views

Last Week
Last month
Citations as of Nov 22, 2023


Citations as of Nov 22, 2023


Last Week
Last month
Citations as of Nov 23, 2023


Last Week
Last month
Citations as of Nov 30, 2023

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.