Numerical Evaluation of the Flow within a Rhomboid Tessellated Pipe Network with a 3 × 3 Allometric Branch Pattern for the Inlet and Outlet
Abstract
:1. Introduction
Aim and Scope
2. Numerical Details
2.1. Case Study
2.2. Pipe Networking Inlet/Outlet Construction Conditions
2.3. Pipe Networking Operation Conditions
2.4. Software and Computational Resource
2.5. Numerical Domain Details
2.6. Numerical Models
2.7. Governing Equations
2.8. Turbulence Model
3. Sensitivity Analysis
4. Results
4.1. Velocity Results
4.2. Pressure Drop Results
5. Discussion
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Diameter [mm] | Length [mm] | |
---|---|---|
Inlet line | 39.6 | 148 |
First Branch | 13.2 | 229 |
Second Branch | 7.3 | 130 |
PPP | RTP | |
---|---|---|
Material | Copper | Copper |
Length [mm] | 1627 | 1627 |
Width [mm] | 645 | 645 |
Thickness [mm] | 1 | 1 |
Area [m2] | 1.049 | 1.049 |
Pipe area [%] | 20.81 | 20.96 |
Hydraulic diameter [mm] | 7.3 | 39.6, 13.2, 7.3 |
Volume [m3] | 0.002 | 0.002 |
Property | Value |
---|---|
Density, [kg/m3] | 998.2 |
Viscosity, [kg/(m·s)] | 0.01003 |
Mesh 1 | Mesh 2 | Mesh 3 | Mesh 4 | Mesh 5 | ||
---|---|---|---|---|---|---|
Pipe networking with rhombic tessellation | ||||||
Number of nodes | 215,936 | 360,480 | 661,595 | 728,324 | 1,020,862 | |
Number of elements | 648,909 | 1,186,953 | 2,478,962 | 2,796,240 | 4,102,085 | |
Pressure drop [Pa] | 27.8 | 24.6 | 22.3 | 21.9 | 21.8 | 22.49 |
Pipe networking with parallel pipe | ||||||
Number of nodes | 252,426 | 671,693 | 932,002 | 990,800 | 1,195,763 | |
Number of elements | 611,386 | 1,829,540 | 2,655,701 | 2,828,856 | 3,389,378 | |
Pressure drop [Pa] | 210.8 | 179.3 | 151.3 | 150.6 | 150.1 | 147.9 |
[kg/s] | RTP | PPP |
---|---|---|
0.01 | 320.6 | 1738.9 |
0.02 | 641.1 | 3477.9 |
0.03 | 961.7 | 5216.8 |
0.04 | 1282.3 | 6955.8 |
0.05 | 1602.8 | 8694.7 |
0.06 | 1923.4 | 10,433.7 |
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Rodríguez-Rivera, R.; Carvajal-Mariscal, I.; Terres-Peña, H.; De la Cruz-Ávila, M.; De León-Ruiz, J.E. Numerical Evaluation of the Flow within a Rhomboid Tessellated Pipe Network with a 3 × 3 Allometric Branch Pattern for the Inlet and Outlet. Fluids 2023, 8, 221. https://doi.org/10.3390/fluids8080221
Rodríguez-Rivera R, Carvajal-Mariscal I, Terres-Peña H, De la Cruz-Ávila M, De León-Ruiz JE. Numerical Evaluation of the Flow within a Rhomboid Tessellated Pipe Network with a 3 × 3 Allometric Branch Pattern for the Inlet and Outlet. Fluids. 2023; 8(8):221. https://doi.org/10.3390/fluids8080221
Chicago/Turabian StyleRodríguez-Rivera, René, Ignacio Carvajal-Mariscal, Hilario Terres-Peña, Mauricio De la Cruz-Ávila, and Jorge E. De León-Ruiz. 2023. "Numerical Evaluation of the Flow within a Rhomboid Tessellated Pipe Network with a 3 × 3 Allometric Branch Pattern for the Inlet and Outlet" Fluids 8, no. 8: 221. https://doi.org/10.3390/fluids8080221