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On driving a viscous fluid out of a tube

Published online by Cambridge University Press:  28 March 2006

B. G. Cox
B. G. Cox
Affiliation:
Cavendish Laboratory, University of Cambridge
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Abstract

Two problems are considered. First, it is shown experimentally that the amount of viscous fluid left on the walls of a horizontal tube, when it is expelled by an inviscid fluid, reaches an asymptotic value of 0.60 of the amount required to fill the tube, when the parameter μU/T is increased, μ and T being the coefficients of viscosity and interfacial surface tension respectively, and U the velocity of the interface between the two fluids. Secondly, by neglecting the inertia terms in the equations of motion and the effect of gravity, a theory for the passage of this type of bubble is presented, together with experimental results in support of the theory. It is shown that such a solution is only valid under certain other restrictions, and then only to within half a tube diameter of the nose of the bubble.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 14 , Issue 1 , September 1962 , pp. 81 - 96
Copyright
© 1962 Cambridge University Press

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References

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