Abstract
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.
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References
Chikwendu SC (1986) Caculation of longitudinal shear dispersivity using an N-zone model as \(N \rightarrow \infty \). J Fluid Mech 167:19–30
Durst F, Jovanovic J, Sender J (1995) LDA measurments in the near-wall region of a turbulent pipe flow. J Fluid Mech 295:305–335
Ekambara K, Joshi JB (2003) Axial mixing in pipe fows: turbulent and transitional regions. Chem Eng Sci 58:2715–2724
Flint LF (1967) On the velocity profile for turbulent flow in straight a pipe. Chem Eng Sci 22:1127–1131
Flint LF, Eisenklam P (1969) Longitudinal gas dispersion in transitional and turbulent flow through a straight tube. Can J Chem Eng 47:101–106
Fowler FC, Brown GG (1943) Contamination by successice flow in pipe lines. Am Inst Chem Eng 39:491–516
Keyes JJ (1955) Diffusion film characteristics in turbulent flow: dynamic response method. Am Inst Chem Eng 1:305–311
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 1:3–14
Lee Y (2004) Mass dispersion in intermittent laminar flow. PhD thesis. University of Cincinnati, Cincinnati
Levenspiel O (1958) Longitudinal mixing of fuids flowing in circular pipes. Ind Eng Chem 50(3):343–346
Nikuradse J (1932) Laws of turbulent flow in smooth pipes. NACA Tech Memorandum 359
Rutherford J (1994) River mixing. Wiley, New York
Senecal VE, Rothfus RR (1953) Transitional flow of fluids in smooth tubes. Chem Eng Prog 49:533–538
Stanton TE, Pannell J (1914) Similarity of motion in relation to the surface friction of fluids. Philos Trans Royal Soc 214:199–224
Taylor GI (1953) Dispersion of soluble matter in solvent flowing slowly through a tube. Proc Royal Soc 219(1137):186–203
Taylor GI (1954) The dispersion of matter in turblent flow through a pipe. Proc Royal Soc 223(1155):446–468
Tichacek LJ, Barkelew CH, Baron T (1957) Axial mixing in pipes. Am Inst Chem Eng 3(4):439–442
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 581–592
White FM (2008) Fluid mechanics. McGraw-Hill, New York
Young P, Jakeman A, McMurtrie R (1980) An instrumental variable method for model order identification. Automatica 16:281–294
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© 2013 Springer-Verlag Berlin Heidelberg
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Hart, J., Guymer, I., Jones, A., Stovin, V. (2013). Longitudinal Dispersion Coefficients Within Turbulent and Transitional Pipe Flow. In: Rowiński, P. (eds) Experimental and Computational Solutions of Hydraulic Problems. GeoPlanet: Earth and Planetary Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30209-1_8
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DOI: https://doi.org/10.1007/978-3-642-30209-1_8
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