The effect of weak inertia on the emptying of a tube | Zendy

Alain de Ryck | Zendy

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The effect of weak inertia on the emptying of a tube

Author(s) -

Alain de Ryck

Publication year - 2002

Publication title -

physics of fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.188

H-Index - 180

eISSN - 1089-7666

pISSN - 1070-6631

DOI - 10.1063/1.1480267

Subject(s) - inertia , hexamethyldisiloxane , reynolds number , thermodynamics , mechanics , viscosity , rotational symmetry , viscous liquid , physics , mathematics , classical mechanics , turbulence , plasma , quantum mechanics

International audienceWe present an extension of the classical axisymmetric Bretherton theory giving the thickness of the liquid film left on the walls of a drained tube, treating the case of weak inertia by a regular perturbation method. The results obtained by numerical integration fit Taylor's [J. Fluid Mech. 10, 161 (1961)] experiments, obtained with viscous fluids (glycerine and strong sucrose solutions), and Aussillous and Quere's [Phys. Fluids 12, 2367 (2000)] experiments with low viscosity liquids (hexamethyldisiloxane and water) when inertia becomes important. The discrepancies observed between the theory and high Reynolds numbers experiments (Re>1000) are commented on

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