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Oscillatory response of an idealized two-dimensional diffusion flame: Analytical and numerical study

Published on May 1, 2007in Combustion and Flame4.12
· DOI :10.1016/j.combustflame.2006.12.020
Manav Tyagi4
Estimated H-index: 4
(Indian Institute of Technology Madras),
Nachiket Jamadar1
Estimated H-index: 1
(Indian Institute of Technology Madras),
Satyanarayanan R. Chakravarthy17
Estimated H-index: 17
(Indian Institute of Technology Madras)
Abstract
Abstract The heat release response of a two-dimensional (2-D) co-flow diffusion flame is theoretically investigated for the mass fraction fluctuations of reactant concentration at the inlet boundary and for time-varying spatially uniform flow velocity field in the domain. The present work is an extension of the Burke–Schumann steady flame model to an oscillatory situation, but in a 2-D framework. The governing equation of the problem is the scalar advection equation for the Schwab–Zel'dovich variable. An exact solution is found in terms of an infinite series for the case of mixture fraction fluctuations at the inlet boundary. The cases of time-varying uniform flow velocity field and a combination of velocity and mixture fraction fluctuations are investigated numerically. The temperature and heat release rate of the flame are thermodynamically calculated utilizing the mixed-is-burnt approach. The main results of the paper are the response functions. The nonlinearity in the calculation of the heat release rate and the convective nonlinearity due to velocity fluctuations result in the generation of higher harmonics in the response function for a given sinusoidal excitation. Therefore, the response function is decomposed and obtained for each of the significant harmonics. The results show that, in general, the response function decreases with increase in the excitation frequency as reported with premixed flames in the literature. However, in the present case, the decrease occurs when the excitation time-scale is less than the diffusion time-scale. Interesting flame shape variations such as flame clip-off, flipping between overexpanded and underexpanded conditions, and flame wrinkling are observed in the case of mixture fraction oscillations.
  • References (22)
  • Citations (30)
References22
Newest
#1Manav Tyagi (Indian Institute of Technology Madras)H-Index: 4
#2Satyanarayanan R. Chakravarthy (Indian Institute of Technology Madras)H-Index: 17
Last.Raman Sujith (Indian Institute of Technology Madras)H-Index: 24
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#1Ju Hyeong Cho (Georgia Institute of Technology)H-Index: 3
#2Tim Lieuwen (Georgia Institute of Technology)H-Index: 42
#1Marcos Chaos (UCF: University of Central Florida)H-Index: 4
#2Ruey-Hung Chen (UCF: University of Central Florida)H-Index: 20
Last.William L. Roberts (NCSU: North Carolina State University)H-Index: 42
view all 4 authors...
#1M.Q. McQuay (BYU: Brigham Young University)H-Index: 11
#2R.K. Dubey (BYU: Brigham Young University)H-Index: 3
Last.João Andrade de Carvalho (UNESP: Sao Paulo State University)H-Index: 24
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#1S. Khosid (Technion – Israel Institute of Technology)H-Index: 1
#2J.B. Greenberg (Technion – Israel Institute of Technology)H-Index: 11
#1A Masataka (Gunma University)H-Index: 11
#2H Sato (Gunma University)H-Index: 2
Last.Kenji Amagai (Gunma University)H-Index: 8
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#2Vishal Acharya (Georgia Institute of Technology)H-Index: 10
Last.Tim Lieuwen (Georgia Institute of Technology)H-Index: 42
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#1Matthias Haeringer (TUM: Technische Universität München)
#2Malte Merk (TUM: Technische Universität München)H-Index: 4
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#1Uddalok Sen (UIC: University of Illinois at Chicago)H-Index: 3
#2Achintya Mukhopadhyay (Jadavpur University)H-Index: 15
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#1Yan-Qin Li (Zhengzhou University)H-Index: 1
#2Hai-Liang Cao (Zhengzhou University)H-Index: 1
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#1Nicholas Magina (Georgia Institute of Technology)H-Index: 4
#2William Steele (Georgia Institute of Technology)H-Index: 1
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#1Satyanarayanan R. Chakravarthy (Indian Institute of Technology Madras)H-Index: 17
#2Ramgopal Sampath (Indian Institute of Technology Madras)H-Index: 4
Last.Vikram Ramanan (Indian Institute of Technology Madras)H-Index: 4
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