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A Theoretical Study of Steady State and Transient Condensation on Axisymmetric Fins Under Combined Capillary and Gravitational Forces

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Abstract

The present work attempts to model the case of combined gravitational and capillary motion of condensate for an axisymmetric fin under steady and transient fin operation conditions. The focus here is to examine the structure of the mathematical problem and to develop suitable numerical techniques rather than yield information on the macroscopic condensate flow rate and fin efficiency. The problem is formulated starting from general conditions and is simplified step by step by introducing corresponding assumptions. The particular fin shape of a paraboloid from revolution is chosen and the equations are properly non-dimensionalized. A vast reduction of the number of problem parameters is achieved in this way. The cases of isothermal fin, steady state operation and dynamic operation are treated separately using specialized numerical solution techniques developed for each case in order to improve computational efficiency and accuracy. Typical results of fin temperature and condensate film thickness are presented and discussed.

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Acknowledgments

This work is supported by the European Space Agency MAP/ELIPS-2 project “Enhanced condensers and related phenomena in two-phase systems, (ENCOM-2)”. The work is also performed under the umbrella of COST Action MP-1106 “Smart and Green Interfaces”.

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Correspondence to M. Kostoglou.

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This article belongs to the Topical Collection: Advances in Gravity-related Phenomena in Biological, Chemical and Physical Systems

Guest Editors: Valentina Shevtsova, Ruth Hemmersbach

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Kostoglou, M., Karapantsios, T.D., Buffone, C. et al. A Theoretical Study of Steady State and Transient Condensation on Axisymmetric Fins Under Combined Capillary and Gravitational Forces. Microgravity Sci. Technol. 28, 559–567 (2016). https://doi.org/10.1007/s12217-016-9511-z

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  • DOI: https://doi.org/10.1007/s12217-016-9511-z

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