Capillary filling with pseudo-potential binary Lattice-Boltzmann model |
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Authors: | S Chibbaro |
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Institution: | (1) Istituto per le Applicazioni del Calcolo CNR, Viale del Policlinico 137, 00161 Roma, Italy;(2) Dipartimento di Ingegneria Meccaninca, Università di Roma Tor Vergata, 00133 Roma, Italy |
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Abstract: | We present a systematic study of capillary filling for a binary fluid by using a mesoscopic lattice Boltzmann model for immiscible
fluids describing a diffusive interface moving at a given contact angle with respect to the walls. The phenomenological way
to impose a given contact angle is analysed. Particular attention is given to the case of complete wetting, that is contact
angle equal to zero. Numerical results yield quantitative agreement with the theoretical Washburn’s law, provided that the
correct ratio of the dynamic viscosities between the two fluids is used. Finally, the presence of precursor films is experienced
and it is shown that these films advance in time with a square-root law but with a different prefactor with respect to the
bulk interface. |
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Keywords: | PACS" target="_blank">PACS 47 11 -j Computational methods in fluid dynamics 68 08 Bc Wetting 68 15 +e Liquid thin films 81 15 -z Methods of deposition of films and coatings film growth and epitaxy |
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