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Laminar and transitional flow of drilling muds and various suspensions in circular tubes

Published online by Cambridge University Press:  28 March 2006

Bernard Le Fur  and
Madeleine Martin
Bernard Le Fur
Affiliation:
Laboratoire d'Aérothermique du C.N.R.S., Meudon, France
Madeleine Martin
Affiliation:
Institut Français du Pétrole, Rueil-Malmaison, France
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Abstract

Most suspensions exhibit a rheological behaviour which cannot be represented by either Bingham's or Ostwald–De Waele's law. In studying such cases a very simple expression with only three parameters may be used. Starting with an intermediate law of this sort, this paper gives velocity profiles and head losses in laminar flow, which have been computed and plotted on diagrams in non-dimensional co-ordinates.

It has been found that transition flow rates in circular tubes for data taken from the literature and from experiments conducted on drilling muds at the Institut Français du Pétrole, are efficiently predicted by an empirical criterion (Ryan & Johnson 1959) which establishes a relation between a generalized Reynolds number and a generalized Hedström number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 30 , Issue 3 , 29 November 1967 , pp. 449 - 464
Copyright
© 1967 Cambridge University Press

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