Abstract
The relative viscosity ( μ rel=suspension viscosity/suspending fluid viscosity) of low Reynolds number, dilute and surfactant-free bubble suspensions in simple shear is studied with a rotating cylinder, Couette rheometer. The conditions of the experiments correspond to capillary numbers ( Ca) of order 1 and bridge previous experimental, theoretical and numerical results that focused on either Ca⪡1 or Ca⪢1. The suspensions are shear thinning with μ rel>1 for small Ca. At large Ca, μ rel approaches a constant that is less than 1. These results are explained by a scaling analysis that considers how regions of viscous dissipation in and around bubbles change as bubbles are deformed by the flow.
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