Mathematical Modelling of Oil Pipeline Leakages Using Computational Fluid Dynamics - Case of BIDCO Oil Processing Refinery, Uganda.


  • Ali Wambi Wateya Department of Mathematics, Busitema University, Tororo, Uganda
  • Twaibu Semwogerere Department of Electrical and Computer Engineering, Busitema University, Tororo, Uganda
  • Richard O. Awichi Department of Mathematics and Statistics, Kyambogo University, Kampala, Uganda
  • Asaph Keikara Muhumuza Department of Mathematics, Busitema University, Tororo, Uganda



Simulations, Pressure Drop, Oil Pipeline Leakage, Mathematical Modelling, Computational Fluid Dynamics (CFD)


The leakage flow phenomena of a refinery oil pipe with a leakage point is numerically studied with the purpose to minimize oil leakage using Computational Fluid Dynamics (CFD) approach. Among consequences of oil pipe leakages are losses as a result of property loss (oil), cost of pipe replacement and also death due to fire or explosion. To understand the leakage phenomena, pipe characteristics at the leakage orifice are necessary. In the simulation, considering a pipe with a leak orifice of 0.002m, diameter 0.06 m and length 10 m, single phased flow was considered. The leakage through the pipe was studied based on fluid dynamics simulations using a Computational fluid dynamic tool ANSYS FLUENT software 17.2 where the Navier-Stokes were solved and for turbulence the standard k-ε was considered. Results from this study show that the leakage flow rate increases with increase in velocity inflow of the fluid. The pressure effect was also studied at the vicinity of the leak and results also show that an increase in velocity increases the pressure drop. Therefore, keeping the inflow velocity range of 0.1ms−1 to 2 ms−1 show minimal leakage rates.


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Al-Khomairi, A. M. (2005). Use of the steady-state orifice equation in the computation of transient flow through pipe leaks. Arabian Journal for Science & Engineering (Springer Science & Business Media BV), 30.

Canonsburg, T. (2017). Ansys fluent user’s guide. ANSYS FLUENT User’s Guid, 15317:2498.

Chew, S. K. (2000). Evaluation of Disaster Managemnt and Preparedness of a Petrochemical in Malaysia. PhD thesis, Universiti Putra malaysia.

De Sousa, C. A. and Romero, O. J. (2017). Influence of oil leakage in the pressure and flow rate behaviors in pipeline. Latin American Journal of Energy Research, 4(1):17–29.

Esemu, N. J., Masanja, V. G., Nampala, H., Lwanyaga, J. D., Awichi, R. O., and Semwogerere, T. (2020). An application of computational fluid dynamics to optimize municipal sewage networks; a case of tororo municipality, eastern uganda. Journal of Advances in Mathematics, 18:18–27.

Fluent, A. et al. (2018). Ansys fluent theory guide. ANSYS Inc., USA, 15317:724–746.

Jujuly, M. M. (2016). Computational fluid dynamics (CFD) based approach to consequence assessment of accidental release of hydrocarbon during storage and transportation. PhD thesis, Memorial University of Newfoundland.

Shaluf, I. M., Ahmadun, F.-R., and Said, A. M. (2003). Fire incident at a refinery in west malaysia: the causes and lessons learned. Journal of Loss prevention in the Process Industries, 16(4):297–303.

Shehadeh, M. and Shahata, A. I. (2013). Modelling the effect of incompressible leakage patterns on rupture area in pipeline. CFD Letters, 5(4):132–142.

Silva, R. A., Buiatti, C. M., Cruz, S. L., and Pereira, J. A. (1996). Pressure wave behaviour and leak detection in pipelines. Computers & chemical engineering, 20:S491–S496.

Zeng, Y. and Luo, R. (2017). Numerical analysis of incompressible flow leakages in short pipes. In Proceedings of 12th Pipeline Technology Conference, pages 1–6.

Zhang, Y., Chen, S., Li, J., and Jin, S. (2014). Leak detection monitoring system of long distance oil pipeline based on dynamic pressure transmitter. Measurement, 49:382–389.




How to Cite

Wateya, A. W. ., Semwogerere, T., Awichi, R. O., & Muhumuza, A. K. . (2022). Mathematical Modelling of Oil Pipeline Leakages Using Computational Fluid Dynamics - Case of BIDCO Oil Processing Refinery, Uganda. JOURNAL OF ADVANCES IN MATHEMATICS, 21, 25–31.




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