Abstract
This chapter presents information about multiphase flows such as definition, flow pattern and modeling. Application to petroleum industry has been given to water-heavy oil flow in catenary riser. In offshore platforms a catenary riser is often used to carry heavy ultraviscous oils. However, the high viscosity of these oils provides an elevated pressure drop in the flow. Several studies report the use of the core-flow technique in vertical and horizontal pipes to reduce the pressure drop in the transport of heavy oils. Nevertheless, so far no record of studies using catenary riser was found. Results of velocity, pressure, temperature and volumetric fraction distribution were presented and analyzed. The pressure drop in the catenary riser decreased 3.28 times compared with the single-phase oil flow. This low value compared with the available literature was attributed to the presence of regions of adhesion along the surface of the overhead line and the high viscosity of the produced water.
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Abbreviations
- A αβ :
-
Interfacial area density (1/m)
- C D :
-
Drag coefficient (-)
- D αβ :
-
Drag force (N)
- d αβ :
-
Mixture length scale (m)
- d β :
-
Mean diameter (m)
- Eo :
-
Eötvös number (-)
- f α :
-
Volume fraction (-)
- g :
-
Gravitational acceleration (m/s2)
- h α :
-
Specific enthalphy (J/kg)
- h αβ :
-
Heat transfer coefficient W/m2 K
- k :
-
Turbulent kinetic energy (m2/s2)
- LB αβ :
-
Lubrication force (N)
- L αβ :
-
Lift force (N)
- M α :
-
Total force on phase α (N)
- M αβ :
-
Interphase momentum transfer (N)
- Nu:
-
Nusselt number (-)
- Pr:
-
Prandtl number (-)
- Q m :
-
Heavy oil and water volumetric flow (m3/s)
- Q α :
-
Interphase heat transfer (W/m2)
- Re:
-
Reynolds number (-)
- S Mα :
-
Mass source (kg/m3s)
- S qα :
-
External heat source (kg/m s3)
- S α :
-
Momentum sources (kg//m2 s2)
- t:
-
Time (s)
- TD αβ :
-
Turbulent dispersion force (N)
- U α :
-
Velocity vector (m/s)
- VM αβ :
-
Virtual mass force (N)
- Γ αβ :
-
Mass flow rate per unit volume (kg/m3 s)
- ε :
-
Turbulence dissipation rate (m2/s3)
- λ α :
-
Thermal conductivity (W/m K)
- λ αβ :
-
Misture conductivity scale (m)
- μ t :
-
Turbulent viscosity (kg/m s)
- μ α :
-
Dynamic viscosity (kg/m s)
- ρ α :
-
Density (kg/m3)
- ρ αβ :
-
Mixture density (kg/m3)
- σ :
-
Surface tension coefficien t (N/m2)
- σ ρ, σ ε, σ κ, :
-
Empirical constants to k-ε turbulence model (-)
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Acknowledgments
The authors thank to Brazilian offices CNPq, ANP/UFCG-PRH-25, FINEP, and CAPES, to Brazilian private enterprises PETROBRAS and JBR Engenharia LTDa, for the granted financial support and to researcher reported in the text for their contributions for improvement of this work. The authors acknowledge also the opportunity given by the Editors to present our researches in the chapter.
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de Farias Neto, S.R., de Souza Santos, J.S., de Oliveira Crivelaro, K.C., Farias, F.P.M., de Lima, A.G.B. (2012). Heavy Oils Transportation in Catenary Pipeline Riser: Modeling and Simulation. In: Öchsner, A., da Silva, L., Altenbach, H. (eds) Materials with Complex Behaviour II. Advanced Structured Materials, vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22700-4_13
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