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ABSTRACT
The current study focuses on numerical investigation of narrow passage flows with pin fin arrays. 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 of the work is to study numerical performance and accuracy of models when applied in the simulation of blade pin fin arrays. The main objective is comparison of the numerical accuracy of models, when applied for the simulation of complex flows within narrow passages. Numerical results obtained with the different models are compared to the experimental data from the literature. As such, comparisons are performed of different flow field quantities, including mean velocity components, Reynolds stress tensor components, and surface Nusselt number distributions.
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 provides thanks for colleagues of Tsinghua University in Beijing and University of Alabama in Huntsville.