Llewellin, E. W. and Del Bello, E. and Taddeucci, J. and Scarlato, P. and Lane, Stephen (2012) *The thickness of the falling film of liquid around a Taylor bubble.* Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 468 (2140). pp. 1041-1064. ISSN 1364-5021

## Abstract

We present the results of laboratory experiments that quantify the physical controls on the thickness of the falling film of liquid around a Taylor bubble, when liquid-gas interfacial tension can be neglected. We find that the dimensionless film thickness lambda' (the ratio of the film thickness to the pipe radius) is a function only of the dimensionless parameter N-f = rho root gD(3)/mu, where rho is the liquid density, g the gravitational acceleration, D the pipe diameter and mu the dynamic viscosity of the liquid. For N-f less than or similar to 10, the dimensionless film thickness is independent of N-f with value lambda' approximate to 0.33; in the interval 10 less than or similar to N-f less than or similar to 10(4), lambda' decreases with increasing N-f; for N-f greater than or similar to 10(4) film thickness is, again, independent of N-f with value lambda' approximate to 0.08. We synthesize existing models for films falling down a plane surface and around a Taylor bubble, and develop a theoretical model for film thickness that encompasses the viscous, inertial and turbulent regimes. Based on our data, we also propose a single empirical correlation for lambda' (N-f), which is valid in the range 10 (1) < N-f < 10(5). Finally, we consider the thickness of the falling film when interfacial tension cannot be neglected, and find that film thickness decreases as interfacial tension becomes more important.

Item Type: | Article |
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Journal or Publication Title: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |

Uncontrolled Keywords: | gas slug ; slug flow ; long bubble ; turbulent falling film ; pipe flow ; transitional flow ; VERTICAL TUBES ; SLUG FLOW ; STAGNANT LIQUIDS ; MASS-TRANSFER ; GAS-BUBBLES ; ROUND TUBE ; VELOCITY ; RISE ; EXPLOSIONS ; REYNOLDS |

Subjects: | |

Departments: | Faculty of Science and Technology > Lancaster Environment Centre |

ID Code: | 53456 |

Deposited By: | ep_importer_pure |

Deposited On: | 13 Apr 2012 08:55 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 07 Jan 2015 17:18 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/53456 |

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