TY - JOUR
T1 - An asymptotic analysis of the laminar-turbulent transition of yield stress fluids in pipes
AU - Myers, Tim G.
AU - Mitchell, Sarah L.
AU - Slatter, Paul
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2017/3/3
Y1 - 2017/3/3
N2 - 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 Re 3. 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 < Re 3 < 2500.
AB - 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 Re 3. 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 < Re 3 < 2500.
UR - http://www.scopus.com/inward/record.url?scp=85016318330&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/811/1/012007
DO - 10.1088/1742-6596/811/1/012007
M3 - Conference article
AN - SCOPUS:85016318330
SN - 1742-6588
VL - 811
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012007
T2 - 8th International Workshop on Multi-Rate Processes and Hysteresis, MURPHYS 2016 and 3rd International Workshop on Hysteresis and Slow-Fast Systems, HSFS 2016
Y2 - 13 June 2016 through 17 June 2016
ER -