Abstract
Direct numerical simulations of turbulent jet ignition (TJI)-assisted combustion of lean hydrogen–air mixtures are performed in a three-dimensional planar jet configuration for various thermo-chemical conditions. TJI is a novel ignition enhancement method which facilitates the combustion of lean and ultra-lean fuel–air mixtures by rapidly and continuously exposing them to high temperature combustion products. Fully compressible gas dynamics and species equations are solved with high order finite difference methods. The hydrogen–air reaction is simulated by a detailed chemical kinetics mechanism. Turbulence–combustion interactions in TJI systems are studied here for different conditions using the flame heat release, temperature, species concentrations, and a newly defined progress variable. Important phenomena such as localized flame extinction/re-ignition and simultaneous existence of premixed/non-premixed flames in TJI-assisted combustion are also investigated.
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Abbreviations
- TJI:
-
Turbulent jet ignition
- DNS:
-
Direct numerical simulation
- TPJ:
-
Turbulent plane jet
- \(u_i\) :
-
Velocity component in ith direction (m/s)
- \(e_t\) :
-
Total energy (J/kg)
- \(\Theta _{ij}\) :
-
Total stress tensor
- \(\tau _{ij}\) :
-
Viscous stress tensor
- \(q_i\) :
-
Heat flux vector (kg/s3)
- \(J_i^\alpha \) :
-
Species diffusion term (m2/s)
- \(\dot{S}_\alpha \) :
-
Rate of mass production/destruction per unit volume for species \(\alpha \) due to chemical reaction (kg/s)
- \({\mathcal {R}}\) :
-
TJI-assisted combustion progress variable
- \(W_{\alpha }\) :
-
Molecular weight of species \(\alpha \) (kg/mol)
- \(R^0\) :
-
Universal gas constant (J/kg K)
- \(h_{\alpha }\) :
-
Enthalpy of species \(\alpha \) (J/kg)
- \(C_{{\text{p}}_{\alpha }}\) :
-
Specific heat of species \(\alpha \) (J/kg K)
- \(\Delta h_{f,\alpha }^0\) :
-
Enthalpy of formation of species \(\alpha \) (J/kg)
- D :
-
Width of turbulent plane jet (m)
- \(U_j\) :
-
Jet velocity (m/s)
- \(U_{co}\) :
-
Coflow velocity (m/s)
- \(r_u\) :
-
Velocity ratio
- x, y, and z :
-
Stream-wise, cross-stream, and span-wise directions
- \(\tau _0\) :
-
Flow-through time (s)
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Acknowledgements
This study was conducted with the support of NSF and DOE under Grant Number CBET-1258581. The authors would also like to thank the Texas Advanced Computing Center at the University of Texas-Austin and the Institute for Cyber-Enabled Research at Michigan State University for providing high performance computational resources.
Funding
This study was funded by NSF and DOE under Grant Number CBET-1258581.
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Validi, A., Schock, H. & Jaberi, F. Turbulence–Combustion Interactions in Premixed and Non-premixed Flames Generated by Hot Active Turbulent Jets. Flow Turbulence Combust 106, 849–880 (2021). https://doi.org/10.1007/s10494-020-00199-x
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DOI: https://doi.org/10.1007/s10494-020-00199-x