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Gravity Force in Capillary Flow Through Open Channels

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Abstract

Certain conditions of superficial properties can provoke spontaneous movement of liquids at corners such as liquid filaments. The understanding of this type of fluid dynamics phenomena is very important in many areas, for example, oil recovery or design of gathering systems of condensed fluids with capillary forces. In previous studies, several models were developed for formation and advancing of filaments at horizontal corners neglecting the gravity force. The objective of this investigation was to provide a mathematical tool to estimate the influence of gravity and to establish a clear approach for taking this effect into account or not. The proposed model is developed from a differential equation applied to an open corner for Poiseuille flow. It provides good agreement with experimental values with a maximum deviation of 3.3%.

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Authors and Affiliations

  1. Grupo de Investigación Fenómenos de Transporte (GFT), Departamento de Termodinámica y Fenómenos de Transferencia, Universidad Simón Bolívar, Apartado Postal 89000, Caracas, 1080A, Venezuela

    Silvia A. Wilinski & Aura L. López de Ramos

Authors
  1. Silvia A. Wilinski
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  2. Aura L. López de Ramos
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Correspondence to Silvia A. Wilinski.

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Wilinski, S.A., López de Ramos, A.L. Gravity Force in Capillary Flow Through Open Channels. Int J Thermophys 31, 2402–2415 (2010). https://doi.org/10.1007/s10765-010-0858-x

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  • DOI: https://doi.org/10.1007/s10765-010-0858-x

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