Wall Stresses in Cylinder of Stationary Piped Carriage Using COMSOL Multiphysics
Abstract
:1. Introduction
2. Theoretical Analysis
2.1. Piped Carriage Structure
2.2. Force Analysis
3. Methods
3.1. Model Setup in COMSOL Multiphysics
3.2. Definitions
3.2.1. Fluid Properties
3.2.2. Structure Properties
3.2.3. Interaction Conditions
3.3. Boundary Conditions
3.4. Finite Elements Mesh
4. Experimental Setup and Conditions
4.1. Laser Doppler Velocimetry (LDV)
4.2. Piped Carriage Force Measuring System
4.3. Selection of Cross Section and Layout of Measurement Points
4.3.1. The Layout of Measuring Points in LDV Measuring Flow Field Near the Cylinder Wall of Piped Carriage
4.3.2. The Layout of Measuring Points in Measuring the Principal Stress by Pipeline Force Measuring System
4.4. Design of Conditions
5. Validation of Simulated Results
5.1. Velocity Distribution
5.2. The Circumferential Component of the Principal Stress
6. Results and Discussion
6.1. Velocity Distributions
6.2. Wall Shear Stress Distributions
6.3. Principal Stress Distributions
6.4. Effect of Discharge on the Wall Stress of Piped Carriage
7. Conclusions
- -
- With the increase of the discharge in the pipe, the flow velocity around the piped carriage increased obviously, especially in the region between the inner wall of the pipe and the piped carriage. The influence of the diameter of the cylinder Dc on the flow field around the piped carriage was greater than that of the length of the cylinder Lc.
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- The wall shear stress on cylinder of the piped carriage was greater than zero, that is, the wall shear stress along the direction of the pipe flow, and the maximum value appeared between the two groups of support feet in the middle and rear section of the cylinder. When the length of the cylinder Lc was fixed, the larger the diameter of cylinder Dc, the greater the wall shear stress.
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- The stress components on the cylinder wall of the piped carriage obeyed the rule as follow: σa > σc > σr. From the rear-end to the front-end of the piped carriage, the distribution of stress components shows the M type, first increased, then decreased, then increased and decreased. The minimum value appeared at the rear-end and front-end of the piped carriage, and it was negative. The maximum value appeared between the two groups of support feet 25 mm away from the rear-end of the cylinder. When the length of cylinder Lc was fixed, the larger the diameter Dc was, the greater were the three components of the corresponding principal stress. When the diameter of the cylinder, Dc, was a constant, the shorter the cylinder length Lc, the greater the three components of the principal stress.
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- The larger the flow, the greater the influence of unit flow on the wall shear stress and principal stress of the piped carriage, that is, k1 < k2 < k3. At the same time, the increase of the flow has the greatest influence on the circumferential component of the principal stress of the cylinder, followed by the axis component, and the smallest influence on the wall shear stress of the cylinder, i.e., > > > .
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Runs | Dc × Lc (mm × mm) | Q (m3·h−1) | Up (m/s) | E (Pa) | νs | Re |
---|---|---|---|---|---|---|
1 | 75 × 150 | 30/40/50/60 | 1.06/1.41/1.77/2.12 | 11.2 × 109 | 0.49 | 105,366/140,488/175,610/210,731 |
2 | 80 × 150 | |||||
3 | 75 × 120 | |||||
4 | 80 × 120 |
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Yang, X.; Ma, J.; Li, Y.; Sun, X.; Jia, X.; Li, Y. Wall Stresses in Cylinder of Stationary Piped Carriage Using COMSOL Multiphysics. Water 2019, 11, 1910. https://doi.org/10.3390/w11091910
Yang X, Ma J, Li Y, Sun X, Jia X, Li Y. Wall Stresses in Cylinder of Stationary Piped Carriage Using COMSOL Multiphysics. Water. 2019; 11(9):1910. https://doi.org/10.3390/w11091910
Chicago/Turabian StyleYang, Xiaoni, Juanjuan Ma, Yongye Li, Xihuan Sun, Xiaomeng Jia, and Yonggang Li. 2019. "Wall Stresses in Cylinder of Stationary Piped Carriage Using COMSOL Multiphysics" Water 11, no. 9: 1910. https://doi.org/10.3390/w11091910