Mathematical Approach for Pressure Loss Determination in Oil and Gas Pipelines

Authors(3) :-Ajoko Tolumoye John, Kilakime Tari Amawarisenua, Apresai Ernest Peretiye

The drawback caused by pressure loss in fluid flowing along oil and gas pipelines in the crude oil industry cannot be over emphasized. Thus, the functionality of industrial devices like chemical reactors, power generation units, refrigeration system, oil wells, and pipelines depends on pressure losses; however valve points and orifice are set to serve as monitoring tools to curb these challenges temporally. Therefore, the design of a well-studied fluid carrying vessel without the integration of valve system and orifice to yield maximum efficiency is a target. Hence, the mathematical approach to determine pressure loss in pipes carrying fluid from one point to the other is studied and solutions are proffered on how pressure loss could be determined with the aid of mathematical analysis. A simple convergent – divergent venturi-meter laboratory test rig was used, where manometric tube reading was collected for analytical purpose by means of some governing equation. Established results show the effectiveness of the employed methodology. Also results attest that pressure loss is consequently of poor quality installation, inadequate pipe alignment causing internal surface roughness leading to high friction of the flowing fluid.Keywords: Research Paper, Technical Writing, Science, Engineering and Technology.

Authors and Affiliations

Ajoko Tolumoye John
Department of Mechanical/Marine Engineering, Faculty of Engineering, Niger Delta University, Wilberforce Island, Bayelsa State, Nigeria
Kilakime Tari Amawarisenua
Department of Mechanical/Marine Engineering, Faculty of Engineering, Niger Delta University, Wilberforce Island, Bayelsa State, Nigeria
Apresai Ernest Peretiye
Department of Mechanical/Marine Engineering, Faculty of Engineering, Niger Delta University, Wilberforce Island, Bayelsa State, Nigeria

Flow rate, Pressure loss, Throat, Velocity head, Venturi-meter

  1. L. Spedding, E. Benard, and G. F. Donnelly, "Prediction of pressure drop in multiphase horizontal pipe flow", International Communications in Heat and Mass Transfer, vol. 33, pp. 1053-1062, 2006.
  2. Markus, "Packing Pressure Drop Prediction at Low Operating Pressure: Is There Anything New", Distillation Topical Conference, AIChE Spring Meeting, Sulzer Chemtech Ltd, San Antonio, Texas, 2013.
  3. S. Ali, and H. K. Ahmed, "A Statistical Evaluation of the Frictional Pressure Losses Correlations for Slurry Flow", Journal of Geological Resource and Engineering, vol. 2, pp. 69-76, 2014.
  4. S. Gardiner, B. Z. Dlugogorski, and G. J. Jameson, "Prediction of Pressure Losses in Pipe Flow of Aqueous Foams," Ind. Eng. Chem. Res, vol. 38, pp.1099-1106, 1999.
  5. G. Ainshtein,"A new Approach to Determination of pressure Losses", Chemistry and Technology for Fuels and Oils, vol. 37, issue 1, pp. 21 – 22, 2001.
  6. R. Manmatha, J. Jibanananda, and K. D. Sukanta,"Mathematical Modelling of Two-phase Flow through Thin Orifices in Horizontal Pipes," Proceedings of ICTACEM, Kharagpur, India, 2010.
  7. S. Gudmundsson, "Pressure Drop in Petroleum Production Operations," Norwegian institute of Technology", Department of Petroleum Engineering and Applied Geophysics, Tech. Rep.1-3, 1995.
  8. B. Lalit, "Flow and Pressure drop of Highly Viscous Fluids in small Aperture orifices," MSc. thesis, Georgia Institute of Technology, June 2004.
  9. Yujia, and W. Zhiming, "A Comprehensive Model for Circulating Pressure Loss of Deep-water Drilling and Its Application in Liwan Gas Field of China", Res. J. App. Sci. Eng. Technology, vol. 7, issue 8, pp.1678-1688, 2014.
  10. Kegang, H. Guoqing, N. Xiao, X. Chunming, H. Jun, P. Peng, and G. Jun, "A New Method for Leak Detection in Gas Pipelines", Oil and Gas Facilities, pp.97-106, 2015.
  11. R. Manmatha, and K. D. Sukanta, "Single-Phase and Two-Phase Flow through Thin and Thick Orifices in Horizontal Pipes", ASME J. Fluids Eng, vol. 13, issue 9, 2012.
  12. R. Manmatha, K. D. Sukanta, "Numerical Modeling of Pressure drop due to Single-phase Flow of Water and Two-phase Flow of Air-water Mixtures through Thick Orifices", International Journal of Engineering Trends and Technology,vol. 3, issue 4, pp.554-551, 2012.
  13. Z. Jose, "Multiphase Analysis of three-Phase (gas-condensate-water) Flow in Pipes" PhD thesis, Pennsylvania State University, 2006.
  14. B. Christopher, Fundamentals of Multiphase Flows, California Institute of Technology Pasadena, California Cambridge University Press, 2005.
  15. Thomas, C. J. Robert, and N. K. Lloyd, 1968, "Performance of a Venturi Meter with Separable Diffuser", National Aeronautics and Space Administration, 1968.
  16. General Instruments Consortium (2008) "Flowing with Advanced Technology", Online]. Available: (Accessed on the 20th December, 2015).
  17. Abdel-Alim, "Part 2: Steady – State Flow of Gas through Pipes," homepage on PE 607: Oil and Gas Pipeline Design, Maintenance and Repair. Online]. Available: http:// (Accessed on the 23th December, 2015).
  18. J. Reader-Harris, W. C. Brunton, J. J. Gibson, D. Hodges, and I. G. Nicholson, "Discharge coefficients of Venturi tubes with Standard and Non-standard Convergent Angles", Flow Measurement and Instrumentation, vol. 12, pp.135–145, 2001.
  19. M. Gary, "Flow Measurement in Pipes" Unpublished BIE 5300/6300 Lectures, pp.141 – 152..
  20. Engineering Faculty, "hydraulic bench manual", (Unpublished Fluid Mechanics Laboratory/Workshop Manuals) Niger Delta University, Bayelsa State, Nigeria, 2013.
  21. J. Dudzinski, R. C. Johnson, and L. N. Krause, "Venturi Meter with Separable Diffuser", J. Basic Eng, vol. 91, issue 1, pp.116-120, 1969.

Publication Details

Published in : Volume 2 | Issue 5 | September-October 2016
Date of Publication : 2016-10-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 220-226
Manuscript Number : IJSRST162551
Publisher : Technoscience Academy

Print ISSN : 2395-6011, Online ISSN : 2395-602X

Cite This Article :

Ajoko Tolumoye John, Kilakime Tari Amawarisenua, Apresai Ernest Peretiye, " Mathematical Approach for Pressure Loss Determination in Oil and Gas Pipelines, International Journal of Scientific Research in Science and Technology(IJSRST), Print ISSN : 2395-6011, Online ISSN : 2395-602X, Volume 2, Issue 5, pp.220-226, September-October-2016. Available at doi : 10.32628/IJSRST162551
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