TY - JOUR

T1 - Quasistatic analysis on configuration of two-phase flow in Y-shaped tubes

AU - Zhong, Hua

AU - Wang, Xiaoping

AU - Salama, Amgad

AU - Sun, Shuyu

N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): SA-00040/UK-00016
Acknowledgements: 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.

PY - 2014/12

Y1 - 2014/12

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/563901

UR - https://linkinghub.elsevier.com/retrieve/pii/S0898122114004763

UR - http://www.scopus.com/inward/record.url?scp=84919628697&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2014.10.004

DO - 10.1016/j.camwa.2014.10.004

M3 - Article

VL - 68

SP - 1905

EP - 1914

JO - Computers & Mathematics with Applications

JF - Computers & Mathematics with Applications

SN - 0898-1221

IS - 12

ER -