Computational Study of Premixed Flame Propagation in Micro-Channels with Nonslip Walls: Effect of Wall Temperature

This investigation evaluates the propagation of premixed flames in narrow channels with isothermal walls. The study is based on the numerical solution of the set of fully-compressible, reacting flow equations that includes viscosity, diffusion, thermal conduction and Arrhenius chemical kinetics. Spe...

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Main Authors: Orlando J. Ugarte, V’yacheslav Akkerman
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Fluids
Subjects:
Online Access:https://www.mdpi.com/2311-5521/6/1/36
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author Orlando J. Ugarte
V’yacheslav Akkerman
author_facet Orlando J. Ugarte
V’yacheslav Akkerman
author_sort Orlando J. Ugarte
collection DOAJ
description This investigation evaluates the propagation of premixed flames in narrow channels with isothermal walls. The study is based on the numerical solution of the set of fully-compressible, reacting flow equations that includes viscosity, diffusion, thermal conduction and Arrhenius chemical kinetics. Specifically, channels and pipes with one extreme open and one extreme closed are considered such that a flame is sparked at the closed extreme and propagates towards the open one. The isothermal channel walls are kept at multiple constant temperatures in the range from <inline-formula><math display="inline"><semantics><mrow><msub><mi>T</mi><mi>w</mi></msub><mo>=</mo><mn>300</mn><mo> </mo><mi mathvariant="normal">K</mi></mrow></semantics></math></inline-formula> to <inline-formula><math display="inline"><semantics><mrow><mn>1200</mn><mo> </mo><mi mathvariant="normal">K</mi></mrow></semantics></math></inline-formula>. The impact of these isothermal walls on the flame dynamics is studied for multiple radii of the channel (<inline-formula><math display="inline"><semantics><mi>R</mi></semantics></math></inline-formula>) and for various thermal expansion ratios (<inline-formula><math display="inline"><semantics><mi mathvariant="sans-serif">Θ</mi></semantics></math></inline-formula>), which approximate the thermal behavior of different fuel mixtures in the system. The flame dynamics in isothermal channels is also compared to that with adiabatic walls, which were previously found to produce exponential flame acceleration at the initial stage of the burning process. The results show that the heat losses at the walls prevent strong acceleration and lead to much slower flame propagation in isothermal channels as compared to adiabatic ones. Four distinctive regimes of premixed burning in isothermal channels have been identified in the <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="sans-serif">Θ</mi><mo>−</mo><msub><mi>T</mi><mi>w</mi></msub><mo>−</mo><mi>R</mi></mrow></semantics></math></inline-formula> space: (i) flame extinction; (ii) linear flame acceleration; (iii) steady or near-steady flame propagation; and (iv) flame oscillations. The physical processes in each of these regimes are discussed, and the corresponding regime diagrams are presented.
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spelling doaj.art-689bb03105bd4640b72ad5c03eea46522023-12-03T12:48:24ZengMDPI AGFluids2311-55212021-01-01613610.3390/fluids6010036Computational Study of Premixed Flame Propagation in Micro-Channels with Nonslip Walls: Effect of Wall TemperatureOrlando J. Ugarte0V’yacheslav Akkerman1Center for Innovation in Gas Research and Utilization (CIGRU), Department of Mechanical and Aerospace Engineering, West Virginia University, Morgantown, WV 26506-6106, USACenter for Innovation in Gas Research and Utilization (CIGRU), Department of Mechanical and Aerospace Engineering, West Virginia University, Morgantown, WV 26506-6106, USAThis investigation evaluates the propagation of premixed flames in narrow channels with isothermal walls. The study is based on the numerical solution of the set of fully-compressible, reacting flow equations that includes viscosity, diffusion, thermal conduction and Arrhenius chemical kinetics. Specifically, channels and pipes with one extreme open and one extreme closed are considered such that a flame is sparked at the closed extreme and propagates towards the open one. The isothermal channel walls are kept at multiple constant temperatures in the range from <inline-formula><math display="inline"><semantics><mrow><msub><mi>T</mi><mi>w</mi></msub><mo>=</mo><mn>300</mn><mo> </mo><mi mathvariant="normal">K</mi></mrow></semantics></math></inline-formula> to <inline-formula><math display="inline"><semantics><mrow><mn>1200</mn><mo> </mo><mi mathvariant="normal">K</mi></mrow></semantics></math></inline-formula>. The impact of these isothermal walls on the flame dynamics is studied for multiple radii of the channel (<inline-formula><math display="inline"><semantics><mi>R</mi></semantics></math></inline-formula>) and for various thermal expansion ratios (<inline-formula><math display="inline"><semantics><mi mathvariant="sans-serif">Θ</mi></semantics></math></inline-formula>), which approximate the thermal behavior of different fuel mixtures in the system. The flame dynamics in isothermal channels is also compared to that with adiabatic walls, which were previously found to produce exponential flame acceleration at the initial stage of the burning process. The results show that the heat losses at the walls prevent strong acceleration and lead to much slower flame propagation in isothermal channels as compared to adiabatic ones. Four distinctive regimes of premixed burning in isothermal channels have been identified in the <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="sans-serif">Θ</mi><mo>−</mo><msub><mi>T</mi><mi>w</mi></msub><mo>−</mo><mi>R</mi></mrow></semantics></math></inline-formula> space: (i) flame extinction; (ii) linear flame acceleration; (iii) steady or near-steady flame propagation; and (iv) flame oscillations. The physical processes in each of these regimes are discussed, and the corresponding regime diagrams are presented.https://www.mdpi.com/2311-5521/6/1/36premixed flamesisothermal and adiabatic boundary conditionsnarrow channelscomputational simulations
spellingShingle Orlando J. Ugarte
V’yacheslav Akkerman
Computational Study of Premixed Flame Propagation in Micro-Channels with Nonslip Walls: Effect of Wall Temperature
Fluids
premixed flames
isothermal and adiabatic boundary conditions
narrow channels
computational simulations
title Computational Study of Premixed Flame Propagation in Micro-Channels with Nonslip Walls: Effect of Wall Temperature
title_full Computational Study of Premixed Flame Propagation in Micro-Channels with Nonslip Walls: Effect of Wall Temperature
title_fullStr Computational Study of Premixed Flame Propagation in Micro-Channels with Nonslip Walls: Effect of Wall Temperature
title_full_unstemmed Computational Study of Premixed Flame Propagation in Micro-Channels with Nonslip Walls: Effect of Wall Temperature
title_short Computational Study of Premixed Flame Propagation in Micro-Channels with Nonslip Walls: Effect of Wall Temperature
title_sort computational study of premixed flame propagation in micro channels with nonslip walls effect of wall temperature
topic premixed flames
isothermal and adiabatic boundary conditions
narrow channels
computational simulations
url https://www.mdpi.com/2311-5521/6/1/36
work_keys_str_mv AT orlandojugarte computationalstudyofpremixedflamepropagationinmicrochannelswithnonslipwallseffectofwalltemperature
AT vyacheslavakkerman computationalstudyofpremixedflamepropagationinmicrochannelswithnonslipwallseffectofwalltemperature