Insights of Transitions to Thermoacoustic Instability in Inverse Diffusion Flame using Multifractal Detrended Fluctuation Analysis

Fuente: arXiv
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Autori principali: De, Somnath, Bhattacharya, Soham, Bhattacharya, Arijit, Mondal, Sirshendu, Mukhopadhyay, Achintya, Sen, Swarnendu
Natura: Preprint
Pubblicazione: 2025
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author De, Somnath
Bhattacharya, Soham
Bhattacharya, Arijit
Mondal, Sirshendu
Mukhopadhyay, Achintya
Sen, Swarnendu
author_facet De, Somnath
Bhattacharya, Soham
Bhattacharya, Arijit
Mondal, Sirshendu
Mukhopadhyay, Achintya
Sen, Swarnendu
contents The inverse diffusion flame (IDF) can experience thermoacoustic instability due to variations in power input or flow conditions. However, the dynamical transitions in IDF that lead to this instability when altering control parameters have not been thoroughly investigated. In this study, we explore the control parameters through two different approaches and employ multifractal detrended fluctuation analysis to characterize the transitions observed prior to the onset of thermoacoustic instability in the inverse diffusion flame. Our findings reveal a loss of multifractality near the region associated with thermoacoustic instability, which suggests a more ordered behavior. We determine that the singularity exponent, the width of the multifractal spectrum, and the Hurst exponent are reliable indicators of thermoacoustic instability and serve as effective classifiers of dynamical states in inverse diffusion flames.
format Preprint
id arxiv_https___arxiv_org_abs_2502_10531
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Insights of Transitions to Thermoacoustic Instability in Inverse Diffusion Flame using Multifractal Detrended Fluctuation Analysis
De, Somnath
Bhattacharya, Soham
Bhattacharya, Arijit
Mondal, Sirshendu
Mukhopadhyay, Achintya
Sen, Swarnendu
Fluid Dynamics
The inverse diffusion flame (IDF) can experience thermoacoustic instability due to variations in power input or flow conditions. However, the dynamical transitions in IDF that lead to this instability when altering control parameters have not been thoroughly investigated. In this study, we explore the control parameters through two different approaches and employ multifractal detrended fluctuation analysis to characterize the transitions observed prior to the onset of thermoacoustic instability in the inverse diffusion flame. Our findings reveal a loss of multifractality near the region associated with thermoacoustic instability, which suggests a more ordered behavior. We determine that the singularity exponent, the width of the multifractal spectrum, and the Hurst exponent are reliable indicators of thermoacoustic instability and serve as effective classifiers of dynamical states in inverse diffusion flames.
title Insights of Transitions to Thermoacoustic Instability in Inverse Diffusion Flame using Multifractal Detrended Fluctuation Analysis
topic Fluid Dynamics
url https://arxiv.org/abs/2502.10531