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    Quasistatic analysis on configuration of two-phase flow in Y-shaped tubes

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    Type
    Article
    Authors
    Zhong, Hua
    Wang, Xiaoping
    Salama, Amgad cc
    Sun, Shuyu cc
    KAUST Department
    Computational Transport Phenomena Lab
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Earth Science and Engineering Program
    Environmental Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    KAUST Grant Number
    SA-00040/UK-00016
    Date
    2014-12
    Permanent link to this record
    http://hdl.handle.net/10754/563901
    
    Metadata
    Show full item record
    Abstract
    We investigate the two-phase flow in a horizontally placed Y-shaped tube with different Young's angle and width in each branch. By using a quasistatic approach, we can determine the specific contact position and the equilibrium contact angle of fluid in each branch based on the minimization problem of the free energy of the system. The wettability condition and the width of the two branches play important roles in the distribution of fluid in each branch. We also consider the effect of gravity. Some fluid in the upper branch will be pulled down due to the competition of the surface energy and the gravitational energy. The result provides some insights on the theory of two-phase flow in porous media. In particular, it highlights that the inhomogeneous wettability distribution affects the direction of the fluid penetrating a given porous medium domain. It also sheds light on the current debate whether relative permeability may be considered as a full tensor rather than a scalar.
    Citation
    Zhong, H., Wang, X.-P., Salama, A., & Sun, S. (2014). Quasistatic analysis on configuration of two-phase flow in Y-shaped tubes. Computers & Mathematics with Applications, 68(12), 1905–1914. doi:10.1016/j.camwa.2014.10.004
    Sponsors
    This publication was based on work supported in part by Award No. SA-00040/UK-00016, made by King Abdullah University of Science and Technology (KAUST), the Hong Kong RGC-GRF Grants 605311, 605513.
    Publisher
    Elsevier BV
    Journal
    Computers & Mathematics with Applications
    DOI
    10.1016/j.camwa.2014.10.004
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.camwa.2014.10.004
    Scopus Count
    Collections
    Articles; Environmental Science and Engineering Program; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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