Spontaneous imbibition in a square tube with corner films: theoretical model and numerical simulation

Zhao, Jianlin; Qin, Feifei; Fischer, Robert; Kang, Qinjun; Derome, Dominique; Carmeliet, Jan

doi:10.1029/2020WR029190

Spontaneous imbibition in a square tube with corner films: theoretical model and numerical simulation

Journal Article · Fri Feb 05 00:00:00 EST 2021 · Water Resources Research

DOI:https://doi.org/10.1029/2020WR029190· OSTI ID:1868272

Zhao, Jianlin ^[1]; Qin, Feifei ^[1]; Fischer, Robert ^[2]; ^[3]; Derome, Dominique ^[4]; Carmeliet, Jan ^[1]

Eidgenoessische Technische Hochschule (ETH), Zurich (Switzerland)
Eidgenoessische Technische Hochschule (ETH), Zurich (Switzerland); Swiss Federal Laboratories for Materials Science and Technology (Empa), Dübendorf (Switzerland); Swiss Federal Laboratories for Materials Science and Technology (Empa), St. Gallen (Switzerland)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of Sherbrooke, QC (Canada)

Spontaneous imbibition in an angular tube with corner films is a fundamental problem in many scientific and engineering processes. In this paper, a modified interacting capillary bundle model is developed to describe the liquid imbibition dynamics in a square tube with corner films. The square tube is decomposed into several interacting sub-capillaries and the local capillary pressure in each sub-capillary is derived based on the specific shape of its meniscus. The conductance of each sub-capillary is calculated using single-phase lattice Boltzmann simulation. The modified interacting capillary bundle model and color-gradient lattice Boltzmann method are used to simulate the liquid imbibition dynamics in the square tube with different fluid properties. The predictions by the modified interacting capillary bundle model match well with the lattice Boltzmann simulation results for different conditions, demonstrating the accuracy and robustness of the interacting capillary bundle model to describe the imbibition dynamics with corner films. In addition, the interacting capillary bundle model is helpful to investigate the mechanisms during spontaneous imbibition and the influences of fluid viscosity, surface tension, wetting phase contact angle and gravity on imbibition dynamics. Finally, a universal scaling law of imbibition dynamics for the main meniscus is developed and the scaling law for arc meniscus is also analyzed.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: Swiss National Science Foundation; Swiss National Supercomputing Centre; USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1868272

Alternate ID(s):: OSTI ID: 1781235

Report Number(s):: LA-UR-20-29191

Journal Information:: Water Resources Research, Journal Name: Water Resources Research Journal Issue: 2 Vol. 57; ISSN 0043-1397

Publisher:: American Geophysical Union (AGU)Copyright Statement

Country of Publication:: United States

Language:: English

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