Non-Premixed Filtered Tabulated Chemistry: Filtered Flame Modeling of Diffusion Flames
Abstract
:1. Introduction
2. Materials and Methods
2.1. Flamelet Equations
2.2. Filtered Reactive Flow Governing Equations
2.3. Non-Premixed Filtered Tabulated Chemistry Closure
2.4. Coflow Flame Configuration
2.5. Numerical Setup
2.6. Filtered Chemical Database
3. Results
3.1. Filtered Tabulated Chemistry Problem
Filtered Manifold Transformation
3.2. Flame Sensor
3.2.1. Justification
3.2.2. Proposed Definition
3.3. Filtered Tabulated Chemistry Results
4. Discussion
4.1. Flame Structure
4.2. Model Correction Terms Sensitivity
4.3. Sensor Performance
5. Conclusions
- Far from the centerline the flame front does not only satisfy the counterflow hypothesis, but the flamelet identifier remains unaltered after the filtering operation, what can be understood as the filtering of the same trajectory, namely of the same flamelet.
- The effect of a modified filtered profile at the reaction zone is then transported through convection and diffusion towards higher Z zones, and is the cause for the centerline profile modifications, where the model is not active.
- The profile extension due to the filtering process is mainly driven by the model correction terms, while the decrease in the peak values of non monotonically evolving variables depends on the filtered parameters that enter the transport equation.
- The sensor adequately identifies the multidimensional effect at the centerline, and its active range both in Z as in physical space changes throughout the domain, in accordance with the strain rate decrease and higher flame thickness.
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Nomenclature
Greek letters | |
Unresolved diffusive contribution | |
Progress variable species i weight factor | |
Flame thickness | |
Thermal conductivity | |
Specific value of a parameterizing variable | |
Mass density | |
Laminar viscous tensor | |
Chemical production rate | |
Filter size | |
Numerical grid spacing | |
Unresolved convective contribution | |
Latin letters | |
c | Progress variable |
Specific heat at constant pressure | |
h | Enthalpy |
p | Pressure |
s | Spatial coordinate perpendicular to the flame front |
u | Velocity |
D | Molecular diffusivity |
K | Strain rate |
Flamelet label | |
Lewis number | |
S | Flame sensor |
Mass fraction of species i | |
Z | Mixture fraction |
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Mesh | NoCells | [mm] | [mm] | [mm] |
---|---|---|---|---|
NU1 | 127,658 | 0.1 | 0.23 | 0.13 |
NU2 | 33,300 | 0.2 | 0.45 | 0.24 |
NU3 | 9225 | 0.4 | 0.82 | 0.45 |
Z | c | u [m/s] | p [Pa] | |
---|---|---|---|---|
Jet | 1 | 0 | parabolic profile, 0.23 | z.G. |
Coflow | 0 | 0 | 0.23 | z.G. |
Side wall | 0 | 0 | no-slip | z.G. |
Outflow | z.G. | z.G. | z.G. | 101,325 |
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Obando Vega, P.J.; Coussement, A.; Sadiki, A.; Parente, A. Non-Premixed Filtered Tabulated Chemistry: Filtered Flame Modeling of Diffusion Flames. Fuels 2021, 2, 87-107. https://0-doi-org.brum.beds.ac.uk/10.3390/fuels2020006
Obando Vega PJ, Coussement A, Sadiki A, Parente A. Non-Premixed Filtered Tabulated Chemistry: Filtered Flame Modeling of Diffusion Flames. Fuels. 2021; 2(2):87-107. https://0-doi-org.brum.beds.ac.uk/10.3390/fuels2020006
Chicago/Turabian StyleObando Vega, Pedro Javier, Axel Coussement, Amsini Sadiki, and Alessandro Parente. 2021. "Non-Premixed Filtered Tabulated Chemistry: Filtered Flame Modeling of Diffusion Flames" Fuels 2, no. 2: 87-107. https://0-doi-org.brum.beds.ac.uk/10.3390/fuels2020006