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Rise of pulsating bubbles in fluids with a yield stress. (English) Zbl 1050.76053

Summary: Liquids important to the process industries sometimes have a yield stress, i.e. they only start flowing if a certain level of shear stress is reached. This can limit processes which require mass transfer to or from bubbles dispersed in the liquid, because bubbles below a certain size can get stuck in the liquid. One possibility of making such bubbles rise is investigated in this work. It consists in subjecting the liquid containing the bubbles to an oscillating external pressure. The deformation outside the bubbles causes the yield stress to be overcome and bubbles to rise, which would otherwise have remained stationary. This effect has been investigated both theoretically and experimentally. An analytical model for the rise of pulsating bubbles in a Bingham medium, commonly used to model fluids with a yield stress, is derived. Experimental results for an aqueous gel show that the effect discussed does exist and is in good qualitative agreement with the model.

MSC:

76T10 Liquid-gas two-phase flows, bubbly flows
76A05 Non-Newtonian fluids
76-05 Experimental work for problems pertaining to fluid mechanics
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References:

[1] : Schwingungsinduzierte Sedimentation in viskoplastischen Fluiden. Dissertation. Hamburg 1993.
[2] Stokes, Trans. Camb. Philos. Soc. 9 (1851)
[3] ; ; : Bubbles, drops, and particles. Academic Press, New York 1978.
[4] : Elastizitätstheorie. Teubner, Stuttgart 1985.
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