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Viscoelastic effect on the behaviour of an air bubble rising axially in a tube

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Abstract

In the present work, we consider the kinematic and dynamic behaviour of a single air bubble which rises along the axis of a vertical circular tube filled with a quiescent viscoelastic liquid. The volume V of the bubble is sufficiently large (0.5 cm3 < V < 40cm3) for an internal motion to develop so that the bubble behaves effectively as a fluid body and not as a solid one. On the other hand, the mean apparent viscosity of the suspending liquid is very high (µa > 100Po) so that the effects of inertia and surface tension remain negligible; the Reynolds number Re remains less than 3 ⋅ 10−2 and the Etvos number Eo greater than 2 ⋅ 102. The respective effects of elasticity and of the shear-thinning viscosity, on the shape and on the speed of the bubble as well as on the hydrodynamic field that it generates, are evaluated.

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References

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© 1982 Martinus Nijhoff Publishers, The Hague

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Coutanceau, M., Hajjam, M. (1982). Viscoelastic effect on the behaviour of an air bubble rising axially in a tube. In: van Wijngaarden, L. (eds) Mechanics and Physics of Bubbles in Liquids. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7532-3_17

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  • DOI: https://doi.org/10.1007/978-94-009-7532-3_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7534-7

  • Online ISBN: 978-94-009-7532-3

  • eBook Packages: Springer Book Archive

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