Abstract
Change in pressure, temperature, flow rate and concentration of oil causes precipitation and deposition of wax particles in the pipelines which has become a major problem for oil industries. By decreasing the capacity and economic efficiency of land oil reserves, demand for offshore reserves increases. Change in temperature in subsea pipelines is more possible and so the wax deposition happens under this condition more. Low water temperature and subsea condition change overall heat transfer coefficient and heat transfer rate in pipe cross-section which affects the wax transportation from bulk fluid to the wall. In this study, the effects of temperature, flow rate and oil characteristic in different pipeline diameters on Middle East oil which covers the most oil reserves of the world have been investigated under Persian Gulf water condition. Higher inlet temperature postpone the wax deposition to far locations and higher flow rate causes lower wax thickness in first stages of pipe and higher wax thickness after passing the first stage.
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Abbreviations
- mi (kg):
-
Mass of deposited wax
- ρw (kg/m3):
-
Density of solid wax
- A (m3):
-
Internal surface area of pipe
- r (m):
-
Radial distance
- Db (m2/s):
-
Brownian coefficient diffusion
- μ (cp):
-
Viscosity of solution
- \( \partial_{i} \;({\text{m}}) \) :
-
Wax layer thickness
- C1, C2, C3 :
-
Constants
- Nsr (−):
-
Number related to flow regime
- \( \Uppi_{1} \) (−):
-
Increase in wax thickness due to oil deposition
- Tbulk (K):
-
Temperature of bulk
- U (W/m2 K):
-
Overall heat transfer coefficient
- Twall(K):
-
Wall temperature
- T∞ (K):
-
Infinitive temperature
- Cwall (kg/m3):
-
Concentration of wall
- Φb :
-
Association parameter of solution
- μb (cp):
-
Viscosity of liquid
- g (m2/s):
-
Acceleration due to gravity
- WAP (K):
-
Wax cloud point temp
- WDT (K):
-
Wax dissolution temperature
- ρ° (kg/m3):
-
Oil density
- μ°, f (kg/m s):
-
Oil viscosity
- Vl (m/s):
-
Liquid velocity
- t (s):
-
Time
- d (m2/s):
-
Diffusion coefficient of liquid wax in oil
- C (kg/m3):
-
Concentration of wax in oil
- mb (kg):
-
Mass of diffused wax by Brownian motion
- Ta (K):
-
Temperature of particles
- a (m):
-
Diameter of solid particles
- ww (−):
-
Wax weight fraction in solution
- Coil (kg/m3):
-
Concentration of oil in solution
- Z (m):
-
Axial coordination
- \( \Uppi_{2} \) (−):
-
Reduction in wax thickness due to shear stripping
- Tinf (K):
-
Temperature of interface
- Cp (J/kg K):
-
Heat capacity
- hint (W/m2 K):
-
Internal convective heat transfer coefficient
- Cbulk (kg/m3):
-
Concentration of bulk
- G (kg/s):
-
Mass transfer rate
- Mb (g/mol):
-
Molecular weight of liquid
- Va (m3/mol):
-
Solute specific molar volume
- Cwax,TWS (kg/m3):
-
Concentration of wax at wall temperature
- TWS (K):
-
Wall surface temperature
- N (1/mol):
-
Avogadro number
- V° (m/s):
-
Oil velocity
- ρm (kg/m3):
-
Average density of gas–oil mixture
- DISSOLRATE (kg/m2 s):
-
Rate of dissolution
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Gooya, R., Gooya, M. & Dabir, B. Effect of flow and physical parameters on the wax deposition of Middle East crude oil under subsea condition: heat transfer viewpoint. Heat Mass Transfer 49, 1205–1216 (2013). https://doi.org/10.1007/s00231-013-1159-2
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DOI: https://doi.org/10.1007/s00231-013-1159-2