An asymptotic analysis of the laminar-turbulent transition of yield stress fluids in pipes

8th Workshop on Multi-Rate Processes and Hysteresis;HSFS Workshop (Hysteresis and Slow-Fast Systems)

Myers, Tim G.^1 ; Mitchell, Sarah L.^2 ; Slatter, Paul^3

Centre de Recerca Matemática, Barcelona, Spain^1

University of Limerick, Ireland^2

ATC Williams, Mordialloc

VIC

3195, Australia^3

关键词: Asymptotic behaviour;    Critical velocities;    Herschel-Bulkley fluids;    Laminar and turbulent flow;    Laminar turbulent transitions;    Non-linear regression analysis;    Simple expression;    Yield stress fluids;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/811/1/012007/pdf
DOI  :  10.1088/1742-6596/811/1/012007

来源: IOP

【 摘 要 】

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 3