@inbook{615944d6b018496c9a5b2fc303a21a23,
title = "An asymptotic analysis of the laminar-turbulent transition of yield stress fluids in pipes",
abstract = "The work in this paper concerns the axisymmetric pipe flow of a Herschel–Bulkley fluid, with the aim of determining a relation between the critical velocity (defining the transition between laminar and turbulent flow) and the pipe diameter in terms of the Reynolds number Re3. The asymptotic behaviour for large and small pipes is examined and simple expressions for the leading order terms are presented. Results are then compared with experimental data. A nonlinear regression analysis shows that for the tested fluids the transition occurs at similar values to the Newtonian case, namely in the range 2100 < Re3 < 2500.",
author = "Myers, {Tim G.} and Mitchell, {Sarah L.} and Paul Slatter",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2018.",
year = "2018",
doi = "10.1007/978-3-030-01153-6_7",
language = "English",
series = "Trends in Mathematics",
publisher = "Springer International Publishing",
pages = "35--40",
booktitle = "Trends in Mathematics",
}