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ABSTRACT
The current study focuses on numerical investigations of narrow passage flows with impingement jets. Six different turbulence models, including linear eddy viscosity models, an explicit algebraic Reynolds stress model, and a V2f model, are explored as they are utilized with k-ϵ and k-ω platforms. The main objective is a comparison of the numerical accuracy of models as applied to the simulation of complex flows within narrow passages. Numerical results obtained with the different models are compared with the experimental data from the literature. As such, comparisons are performed for different flow field quantities, including mean velocity components, Reynolds stress tensor components, and surface Nusselt number distribution.
Nomenclature
| D | = | diameter of impingement jet hole |
| Gj | = | jet mass flow |
| k | = | turbulent kinetic energy |
| Nu | = | Nusselt number |
| P | = | mean pressure |
| Pr | = | Prandtl number |
| PrT | = | turbulent Prandtl number |
| q″ | = | wall heat flux |
| Re | = | Reynolds number |
| T | = | mean temperature |
| TKE | = | turbulent kinetic energy |
| Tu | = | turbulence intensity |
| ui | = | fluctuating velocity component |
| Ui | = | mean velocity component |
| Vj | = | jet velocity |
| X | = | longitudinal coordinate |
| Y | = | lateral coordinate |
| Z | = | vertical coordinate |
| Ωy | = | lateral vorticity |
| xi | = | spatial coordinates |
| δij | = | Kronecker delta |
| ϵ | = | turbulent kinetic energy dissipation |
| ν | = | dynamic viscosity |
| νt | = | turbulent eddy viscosity |
| ρ | = | fluid density |
| ω | = | specific dissipation rate of turbulent kinetic energy |
Nomenclature
| D | = | diameter of impingement jet hole |
| Gj | = | jet mass flow |
| k | = | turbulent kinetic energy |
| Nu | = | Nusselt number |
| P | = | mean pressure |
| Pr | = | Prandtl number |
| PrT | = | turbulent Prandtl number |
| q″ | = | wall heat flux |
| Re | = | Reynolds number |
| T | = | mean temperature |
| TKE | = | turbulent kinetic energy |
| Tu | = | turbulence intensity |
| ui | = | fluctuating velocity component |
| Ui | = | mean velocity component |
| Vj | = | jet velocity |
| X | = | longitudinal coordinate |
| Y | = | lateral coordinate |
| Z | = | vertical coordinate |
| Ωy | = | lateral vorticity |
| xi | = | spatial coordinates |
| δij | = | Kronecker delta |
| ϵ | = | turbulent kinetic energy dissipation |
| ν | = | dynamic viscosity |
| νt | = | turbulent eddy viscosity |
| ρ | = | fluid density |
| ω | = | specific dissipation rate of turbulent kinetic energy |
Acknowledgments
The first author thanks colleagues at Tsinghua University, Beijing, and the University of Alabama, Huntsville.