Enhancing the Dynamic Stability of Pylons via Their Drag and Lift Coefficients by Finite Volume Method
Abstract
:1. Introduction
2. Material and Methodology
2.1. Finite Volume Method and Governing Equations
2.2. Material
2.3. Meshes
2.4. Domain
2.5. Boundary Conditions
3. Results and Discussion
3.1. Number of Iterations
3.2. Validation
3.3. Drag and Lift Coefficients of Four Typical Cross-Sections
3.4. Effect of Non-Dimensional Cutting Ratio on Drag and Lift Coefficients
3.5. Comparison of Four Recommended Cross-Sections in Drag and Lift Coefficients
4. Conclusions
- (i)
- We have already shown an insignificant error in calculating the aerodynamic coefficients by the FVM method. Hence, this method is a low-cost method for investigating the dynamic stability of the long-span bridge, especially suitable for the pre-feasibility study step;
- (ii)
- and are characteristic for each incidence wind direction and depend on the shape of the pylon. By investigating four recommended cross-sections, the maximum of and often come from the incidence wind direction of 0 or 90 degrees, which are the front face or side face of the pylon;
- (iii)
- and , i.e., the drag and lift forces of the pylon reduced by cutting at the cross-section corner regardless of the cutting geometry and reduced up to 23.69% and 13.19%, respectively;
- (iv)
- In four recommended cross-sections, the concave and chamfering cross-sections stand out as the most effective section for increasing the aerodynamic stability of the pylon;
- (v)
- The non-dimensional cutting range is from 0.2 to 0.3 and provides the best performance in reducing the drag and lift forces of the pylon. This range is a recommended standard for adjusting the pylon cross-section to increase its dynamic stability.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Parameter (Unit)/Material | Air |
---|---|
Density (kg·m−3) | 1.225 |
(J·kg−1·K−1) | 1006.43 |
Thermal Conductivity (W·m−1·K−1) | 0.0242 |
Viscosity (kg·m−1·s−1) | 1.7894 × 10−5 |
Molecular Weight (kg·kmol−1) | 28.966 |
Standard State Enthalpy (J·kg−1·mol−1) | - |
Standard State Entropy (J·kmol−1·K−1) | 194,336 |
Reference Temperature (K) | 298.15 |
L-J Charateristic Length (angstrom) | 3.711 |
L-J Energy Parameter (K) | 78.6 |
Thermal Accommodation Coefficient | 0.9137 |
Momentum Accommodation Coefficient | 0.9137 |
Critical Temperature (K) | 132.3 |
Critical Pressure (Pa) | 3,758,000 |
Critical Specific Volume (m3·kg−1) | 0.002875 |
Acentric Factor | 0.033 |
No. | Mesh Combination | Number of Nodes | Number of Elements | Skewness Quality | Orthogonal Quality |
---|---|---|---|---|---|
C1 | 0.4 m + 0.2 m | 4279 | 20,364 | 0.255 | 0.744 |
C2 | 0.2 m + 0.1 m | 20,278 | 100,991 | 0.237 | 0.762 |
C3 | 0.1 m + 0.05 m | 98,000 | 506,809 | 0.231 | 0.767 |
C4 | 0.1 m + 0.02 m | 121,911 | 640,701 | 0.229 | 0.769 |
C5 | 0.05 m + 0.01 m | 606,363 | 3,274,660 | 0.222 | 0.777 |
C6 | 0.03 m + 0.075 m | 1,499,081 | 8,120,961 | 0.221 | 0.777 |
Cross-Section | ||
---|---|---|
Concave | 0.20–0.30 (23.69%) | 0.33 (8.92%) |
Convex | 0.20–0.30 (20.19%) | 0.33 (10.40%) |
Crossing | 0.10–0.25 (17.66%) | - |
Chamfering | 0.20–0.30 (17.34%) | 0.33 (13.14%) |
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Nguyen, V.M.; Chau, V.T. Enhancing the Dynamic Stability of Pylons via Their Drag and Lift Coefficients by Finite Volume Method. Buildings 2023, 13, 1120. https://doi.org/10.3390/buildings13051120
Nguyen VM, Chau VT. Enhancing the Dynamic Stability of Pylons via Their Drag and Lift Coefficients by Finite Volume Method. Buildings. 2023; 13(5):1120. https://doi.org/10.3390/buildings13051120
Chicago/Turabian StyleNguyen, Van My, and Van Than Chau. 2023. "Enhancing the Dynamic Stability of Pylons via Their Drag and Lift Coefficients by Finite Volume Method" Buildings 13, no. 5: 1120. https://doi.org/10.3390/buildings13051120