Experiments in Fluids

, 56:1867 | Cite as

Estimating the effective viscosity of bubble suspensions in oscillatory shear flows by means of ultrasonic spinning rheometry

Research Article


We have proposed a novel methodology using ultrasonic velocity profiling to estimate the effective viscosity of bubble suspensions that are accompanied by non-equilibrium bubble deformations in periodic shear flows. The methodology was termed “ultrasonic spinning rheometry” and validated on measurement of the effective viscosity of particle suspensions that has a semi-empirical formula giving good estimation of the actual viscosity. The results indicated that the proposed technique is valid for particle volume fractions below 3.0 %. Applying this to bubble suspensions suggested that the effective value of temporal variations in the capillary number, \(\hbox{Ca}_{\rm rms}\), is an important indicator to distinguish regimes in estimating the effective viscosity: Unsteady flows having larger \(\hbox{Ca}_{\rm rms}\) number than the critical capillary number for the deformation of bubbles are categorized into Regime 2 that includes both highly unsteady conditions and large steady deformation of bubbles.


Capillary Number Effective Viscosity Cylinder Wall Test Volume Momentum Propagation 



This work was supported by JSPS KAKENHI Grant No. 24246033. The authors express thanks for this support.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Laboratory for Flow Control, Faculty of EngineeringHokkaido UniversitySapporoJapan

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