Entropy Analysis of the Flat Tip Leakage Flow with Delayed Detached Eddy Simulation
Abstract
:1. Introduction
2. Numerical Methods
2.1. Governing Equations
2.2. Turbulence Model
2.3. Delayed Detached Eddy Simulation
2.4. Flow Solver
3. Computational Setup
4. Validation and Comparison of DDES and URANS
Comparison of URANS and DDES Results
5. Analysis of the Flow Structures
6. Modal Analysis and the Loss Mechanism
6.1. Proper Orthogonal Decomposition Analysis
6.2. Loss Analysis
6.2.1. Distribution of Entropy Generation Rate
6.2.2. Losses Due to Steady and Unsteady Effects
7. Conclusions
Author Contributions
Funding
Conflicts of Interest
Abbreviations
h | blade span, mm |
Ca | blade axial chord, mm |
C | blade chord, mm |
density, kg/m | |
p | blade pitch, mm |
P | pressure, Pa |
total pressure, Pa | |
total pressure at inlet, Pa | |
velocity at mid-span, m | |
T | temperature, K |
s | entropy, kJ/(kg·K) |
projection of the vorticity, s | |
dissipation, kJ/(s·m) | |
tip clearance height, mm | |
relative inlet flow angle, ° | |
m | inlet mass flow rate, kg/s |
IQ | index of quality |
Cp0 | total pressure coefficient |
TKE | turbulent kinetic energy, m/s |
EGR | normalized entropy generation rate |
Svis | viscous entropy generation rate |
Sthe | thermal entropy generation rate |
viscous stress, kJ/m | |
deformation, s |
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Parameter | Value |
---|---|
Blade Span, h | 123 mm |
Blade Axial Chord, Ca | 0.69 h |
Blade Pitch, p | 0.8 h |
Tip Gap Height, | 0.01 h |
Relative Inlet Flow Angle, | 20 |
Inlet Reynolds number | 230,000 |
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Li, H.; Su, X.; Yuan, X. Entropy Analysis of the Flat Tip Leakage Flow with Delayed Detached Eddy Simulation. Entropy 2019, 21, 21. https://doi.org/10.3390/e21010021
Li H, Su X, Yuan X. Entropy Analysis of the Flat Tip Leakage Flow with Delayed Detached Eddy Simulation. Entropy. 2019; 21(1):21. https://doi.org/10.3390/e21010021
Chicago/Turabian StyleLi, Hui, Xinrong Su, and Xin Yuan. 2019. "Entropy Analysis of the Flat Tip Leakage Flow with Delayed Detached Eddy Simulation" Entropy 21, no. 1: 21. https://doi.org/10.3390/e21010021