NDLI: Prediction of onset of Taylor-Couette instability for shear-thinning fluids

Content Provider	Springer Nature Link
Author	Masuda, Hayato Horie, Takafumi Hubacz, Robert Ohta, Mitsuhiro Ohmura, Naoto
Copyright Year	2016
Abstract	The definition of Reynolds number (Re) in a Taylor-Couette flow for a shear-thinning fluid is discussed in this paper. Since the shear-thinning property causes spatial distribution of fluid viscosity in a Taylor-Couette flow reactor (TCFR), a method to determine Re by using a numerical simulation is suggested. The effective viscosity (η eff) in Re was the average viscosity using a weight of dissipation function $$ {\eta}_{\mathrm{eff}}={\displaystyle \sum_{i=1}^N{\overset{\cdot }{\gamma}}_i^2{\eta}_i\Delta {V}_i}/{\displaystyle \sum_{i=1}^N{\overset{\cdot }{\gamma}}_i^2\Delta {V}_i}, $$ where N is the total mesh number, η i (Pa·s) is the local viscosity, $$ {\overset{\cdot }{\gamma}}_i $$ (1/s) is the local shear-rate, and ΔV i (m3) is the local volume for each cell. The critical Reynolds number, Re cr, at which Taylor vortices start to appear, was almost the same value with the Re cr obtained by a linear stability analysis for Newtonian fluids. Consequently, Re based on η eff could be applicable to predict the occurrence of Taylor vortices for a shear-thinning fluid. In order to understand the relation between the rotational speed of the inner cylinder and the effective shear rate that resulted in η eff, a correlation equation was constructed. Furthermore, the critical condition at which Taylor vortices appear was successfully predicted without further numerical simulation.
Starting Page	73
Ending Page	84
Page Count	12
File Format	PDF
ISSN	00354511
Journal	Rheologica Acta
Volume Number	56
Issue Number	2
e-ISSN	14351528
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-12-20
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Taylor-Couette flow Shear-thinning fluid Effective Reynolds number Numerical simulation Characterization and Evaluation of Materials Polymer Sciences Soft and Granular Matter, Complex Fluids and Microfluidics Mechanical Engineering Food Science
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Materials Science

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