Longitudinal Dispersion Coefficients Within Turbulent and Transitional Pipe Flow

  • James Hart
  • Ian Guymer
  • Amy Jones
  • Virginia Stovin
Part of the GeoPlanet: Earth and Planetary Sciences book series (GEPS)


The longitudinal dispersion coefficient is used to describe the change in characteristics of a solute cloud, as it travels along the longitudinal axis of a pipe. Taylor (1954) proposed a now classical expression to predict the longitudinal dispersion coefficient within turbulent pipe flow. However, experimental work has shown significant deviation from his prediction for \(Re <\) 20,000. This paper presents experimental results from tracer studies conducted within the range 2,000 \(< Re <\) 50,000, from which longitudinal dispersion coefficients have been determined. Initial results are also presented for a numerical model that aims to predict the longitudinal dispersion coefficient over the same range of Reynolds numbers.


Velocity Profile Buffer Zone Longitudinal Dispersion Transitional Flow Turbulent Pipe Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Chikwendu SC (1986) Caculation of longitudinal shear dispersivity using an N-zone model as \(N \rightarrow \infty \). J Fluid Mech 167:19–30CrossRefGoogle Scholar
  2. Durst F, Jovanovic J, Sender J (1995) LDA measurments in the near-wall region of a turbulent pipe flow. J Fluid Mech 295:305–335CrossRefGoogle Scholar
  3. Ekambara K, Joshi JB (2003) Axial mixing in pipe fows: turbulent and transitional regions. Chem Eng Sci 58:2715–2724CrossRefGoogle Scholar
  4. Flint LF (1967) On the velocity profile for turbulent flow in straight a pipe. Chem Eng Sci 22:1127–1131CrossRefGoogle Scholar
  5. Flint LF, Eisenklam P (1969) Longitudinal gas dispersion in transitional and turbulent flow through a straight tube. Can J Chem Eng 47:101–106CrossRefGoogle Scholar
  6. Fowler FC, Brown GG (1943) Contamination by successice flow in pipe lines. Am Inst Chem Eng 39:491–516Google Scholar
  7. Keyes JJ (1955) Diffusion film characteristics in turbulent flow: dynamic response method. Am Inst Chem Eng 1:305–311CrossRefGoogle Scholar
  8. LeChevallier MW, Gullick RW, Mohammad RK, Friedman M, Funk JE (2003) The potential for health risks from intrusion of contaminats into the disstribution system from pressure transients. J Water Health 1:3–14Google Scholar
  9. Lee Y (2004) Mass dispersion in intermittent laminar flow. PhD thesis. University of Cincinnati, CincinnatiGoogle Scholar
  10. Levenspiel O (1958) Longitudinal mixing of fuids flowing in circular pipes. Ind Eng Chem 50(3):343–346CrossRefGoogle Scholar
  11. Nikuradse J (1932) Laws of turbulent flow in smooth pipes. NACA Tech Memorandum 359Google Scholar
  12. Rutherford J (1994) River mixing. Wiley, New YorkGoogle Scholar
  13. Senecal VE, Rothfus RR (1953) Transitional flow of fluids in smooth tubes. Chem Eng Prog 49:533–538Google Scholar
  14. Stanton TE, Pannell J (1914) Similarity of motion in relation to the surface friction of fluids. Philos Trans Royal Soc 214:199–224CrossRefGoogle Scholar
  15. Taylor GI (1953) Dispersion of soluble matter in solvent flowing slowly through a tube. Proc Royal Soc 219(1137):186–203CrossRefGoogle Scholar
  16. Taylor GI (1954) The dispersion of matter in turblent flow through a pipe. Proc Royal Soc 223(1155):446–468CrossRefGoogle Scholar
  17. Tichacek LJ, Barkelew CH, Baron T (1957) Axial mixing in pipes. Am Inst Chem Eng 3(4):439–442CrossRefGoogle Scholar
  18. Tzatchkov VG, Buchberger SG, Li Z, Romero-Gomez P, Choi C (2009) Axial dispersion in pressurized water distribution networks-A review. Int Symp Water Manag Hydraul Eng 581–592Google Scholar
  19. White FM (2008) Fluid mechanics. McGraw-Hill, New YorkGoogle Scholar
  20. Young P, Jakeman A, McMurtrie R (1980) An instrumental variable method for model order identification. Automatica 16:281–294CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • James Hart
    • 1
  • Ian Guymer
    • 1
  • Amy Jones
    • 2
  • Virginia Stovin
    • 3
  1. 1.School of EngineeringUniversity of WarwickCoventryUK
  2. 2.University of WarwickCoventryUK
  3. 3.Department of Civil and Structural EngineeringThe University of SheffieldSheffieldUK

Personalised recommendations