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Page d'accueil Archives Thermal Letter Responsables Réunions à venir Assembly for International Heat Transfer Conferences
International Heat Transfer Conference 15

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

Effect of Velocity and Evaporation on Non-IsoThermal Meniscus in a Capillary

Antoine Voirand
Institut PPrime

Adel M. Benselama
Institut Pprime, CNRS-ENSMA-Université de Poitiers, Département FTC Téléport 2, 1 avenue Clément Ader, BP 40109, F86961 Futuroscope Chasseneuil Cedex

Yves Bertin
CNRS - Institut Prime-Université de Poitiers - ENSMA UPR 3346, Département Fluides, Thermique, Combustion, 1, avenue Clément Ader BP 40109, 86961 FUTUROSCOPE CHASSENEUIL Cedex France

DOI: 10.1615/IHTC15.mtr.009185
pages 5149-5163

MOTS CLÉS: Heat pipe, Mass transfer and drying, liquid-vapor interface, capillary effects


The problem of bubble displacement into confined spaces such as Hele-Shaw cells in capillary tubes has been addressed for over half a century now, starting with Saffman and Taylor (1958) and Bretherton (1961). The subject has recently gained another interest, as attempts are made to model the behavior of the Pulsating Heat Pipe (PHP). This fairly new heat transfer device uses bubble oscillations to transfer large heat fluxes with excellent thermal performance. However, many physical phenomena influence these oscillations, making these devices difficult to model accurately. This work is a contribution to understand even more such phenomena. To do so, we consider an axisymmetric vapor bubble translating at a constant velocity in a capillary tube filled with liquid and heated with a constant heat flux, generating evaporation at the liquid-vapor interface. An asymptotic expansion according to the capillary number (raised to the power of third) is performed. Criteria for the dry-out and the film thickness at the matching point between the meniscus and the deposited thin film are determined at the leading order as function of the bubble velocity and the heat flux load, among other parameters. The present analysis is therefore a generalization of the well-known Park and Homsy result, h0/a = 1.337Ca^(2/3) (where h0 is the thickness of the thin film deposited by – and just behind – the meniscus advancing in a capillary tube of radius a), to non-isothermal case by introducing the effect of the applied heat load in the calculation of the liquid-vapor interface position.

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