Analysis of pressure drop, energy requirements, and entropy generation in natural gas pipelines at dense and pseudo-dense phases: a CFD study
Abstract
Reducing pressure drop and energy requirements in the natural gas transmission is crucial for enhancing the performance of pipelines and reducing the greenhouse emission effect. In this study, a steady-state CFD modeling was conducted to examine the pressure drop, energy-specific toll (EST), and entropy generation rate (ER) of natural gas pipelines in the dense phase (DP), pseudo-dense phase (PDP), and vapor phase (VP). Three natural gas cases with varying compositions were utilized. The findings revealed that at all three cases, the pressure drop, EST, and ER in the DP were lower compared to those in the PDP and VP phases. For instance, in case 1, the EST in DP was 15 % and 67 % lower than in the PDP and VP, respectively. Similarly, the pressure drop in DP for case 1 was 7.5 % and 42.8 % lower than in the PDP and VP, respectively. Additionally, the ER in DP for case 1 was 12 % and 60 % lower than in the PDP and VP, respectively. The effect of mass flow rate on the pipeline performance indicated that as the mass flow rate increased from 30 to 50 kg/s, the pressure drop, EST, and ER for all cases and phases increased almost 2.7 times. Additionally, when the pipeline diameter increased from 0.3 to 0.6 m, the pressure drop, EST, and ER decreased almost 38, 38, and 16 times, respectively. The results of surface roughness revealed that for all cases and phases, the pressure drop, EST, and ER increased by almost 2.39, 2.39, and 2.2 times, respectively, as the surface roughness increased from 5 μm to 260 μm. Finally, this study developed mathematical models to investigate the pressure drop for pipelines in DP and PDP. The diameter of the pipeline had a greater effect on presser drop compared to the inlet mass flow rate and surface roughness.
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Research ethics: Not applicable.
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Informed consent: Not applicable.
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Author contributions: MA: Writing – original draft, Investigation, Software, Validation; MZ: Methodology, Supervision, Writing – original draft, Writing – review & editing. DM: Writing – original draft, Writing – review & editing.
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Use of Large Language Models, AI and Machine Learning Tools: None declared.
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Conflict of interest: The author states no conflict of interest.
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Research funding: None declared.
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Data availability: Data will be made available on request.
 
Nomenclature
- C1ε
 - 
Constant
 - D
 - 
pipeline diameter (m)
 - f
 - 
friction factor
 - k
 - 
Turbulence kinetic energy (m2. s−2)
 - ks
 - 
Surface roughness (m)
 - LHV
 - 
lower heating values (kJ/kg)
 - p
 - 
Pressure (Pa)
 - Re
 - 
Reynolds number
 - S
 - 
Total EGR (W. K−1)
 - s
 - 
Local EGR (W. m−3. K−1)
 - T
 - 
Temperature (K)
 - u
 - 
Velocity vector (m.s−1)
 
Greek letters
- ρ
 - 
Density (kg. m−3)
 - ε
 - 
Rate of dissipation (m. s−2)
 - μ
 - 
Viscosity (Pa. s)
 - μT
 - 
Turbulent viscosity (Pa. s)
 
Abbreviation
- CFD
 - 
Computational Fluid Dynamics
 - DP
 - 
Dense Phase
 - EST
 - 
energy-specific toll
 - PDP
 - 
Pseudo-Dense Phases
 - VP
 - 
Vapor Phase
 
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© 2025 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
 - Research Articles
 - Numerical investigation of superheating secondary flow on performance of steam ejector by considering non-equilibrium condensation in renewable refrigeration cycle
 - Analysis of pressure drop, energy requirements, and entropy generation in natural gas pipelines at dense and pseudo-dense phases: a CFD study
 - Random Forest model for precise cooling load estimation in optimized and non-optimized form
 - Energy recovery from mechanical energy of high-pressure natural gas pipeline: a case study simulation
 - A numerical simulation of nucleate boiling of water on inclined and rough surfaces
 - Optimization and modelling of process parameters for single pass plasma arc welded steel using response surface methodology
 - Forecasting gasification process results via radial basis function optimization schemes
 - Machine learning approaches for predicting syngas production in biomass gasification
 
Artikel in diesem Heft
- Frontmatter
 - Research Articles
 - Numerical investigation of superheating secondary flow on performance of steam ejector by considering non-equilibrium condensation in renewable refrigeration cycle
 - Analysis of pressure drop, energy requirements, and entropy generation in natural gas pipelines at dense and pseudo-dense phases: a CFD study
 - Random Forest model for precise cooling load estimation in optimized and non-optimized form
 - Energy recovery from mechanical energy of high-pressure natural gas pipeline: a case study simulation
 - A numerical simulation of nucleate boiling of water on inclined and rough surfaces
 - Optimization and modelling of process parameters for single pass plasma arc welded steel using response surface methodology
 - Forecasting gasification process results via radial basis function optimization schemes
 - Machine learning approaches for predicting syngas production in biomass gasification