{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,6]],"date-time":"2025-11-06T11:40:38Z","timestamp":1762429238433,"version":"build-2065373602"},"reference-count":46,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2016,2,20]],"date-time":"2016-02-20T00:00:00Z","timestamp":1455926400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Swiss National Science Foundation project","award":["200021-143651"],"award-info":[{"award-number":["200021-143651"]}]},{"name":"LANL\u2019s LDRD Program"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>In porous media, pore geometry and wettability are determinant factors for capillary flow in drainage or imbibition. Pores are often considered as cylindrical tubes in analytical or computational studies. Such simplification prevents the capture of phenomena occurring in pore corners. Considering the corners of pores is crucial to realistically study capillary flow and to accurately estimate liquid distribution, degree of saturation and dynamic liquid behavior in pores and in porous media. In this study, capillary flow in polygonal tubes is studied with the Shan-Chen pseudopotential multiphase lattice Boltzmann model (LBM). The LB model is first validated through a contact angle test and a capillary intrusion test. Then capillary rise in square and triangular tubes is simulated and the pore meniscus height is investigated as a function of contact angle \u03b8. Also, the occurrence of fluid in the tube corners, referred to as corner arc menisci, is studied in terms of curvature versus degree of saturation. In polygonal capillary tubes, the number of sides leads to a critical contact angle \u03b8c which is known as a key parameter for the existence of the two configurations. LBM succeeds in simulating the formation of a pore meniscus at \u03b8 &gt; \u03b8c or the occurrence of corner arc menisci at \u03b8 &lt; \u03b8c. The curvature of corner arc menisci is known to decrease with increasing saturation and decreasing contact angle as described by the Mayer and Stoewe-Princen (MS-P) theory. We obtain simulation results that are in good qualitative and quantitative agreement with the analytical solutions in terms of height of pore meniscus versus contact angle and curvature of corner arc menisci versus saturation degree. LBM is a suitable and promising tool for a better understanding of the complicated phenomena of multiphase flow in porous media.<\/jats:p>","DOI":"10.3390\/computation4010012","type":"journal-article","created":{"date-parts":[[2016,2,22]],"date-time":"2016-02-22T10:24:17Z","timestamp":1456136657000},"page":"12","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Contact Angle Effects on Pore and Corner Arc Menisci in Polygonal Capillary Tubes Studied with the Pseudopotential Multiphase Lattice Boltzmann Model"],"prefix":"10.3390","volume":"4","author":[{"given":"Soyoun","family":"Son","sequence":"first","affiliation":[{"name":"Laboratory of Multiscale Studies in Building Physics, EMPA (Swiss Federal Laboratories for Materials Science and Technology), D\u00fcbendorf 8600, Switzerland"},{"name":"Chair of Building Physics, ETH Z\u00fcrich (Swiss Federal Institute of Technology in Z\u00fcrich), Z\u00fcrich 8093, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li","family":"Chen","sequence":"additional","affiliation":[{"name":"Earth and Environment Sciences Division (EES-16), Los Alamos National Laboratory, Los Alamos, NM 87545, USA"},{"name":"Key Laboratory of Thermo-Fluid Science and Engineering of MOE, School of Energy and Power Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qinjun","family":"Kang","sequence":"additional","affiliation":[{"name":"Earth and Environment Sciences Division (EES-16), Los Alamos National Laboratory, Los Alamos, NM 87545, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8018-1133","authenticated-orcid":false,"given":"Dominique","family":"Derome","sequence":"additional","affiliation":[{"name":"Laboratory of Multiscale Studies in Building Physics, EMPA (Swiss Federal Laboratories for Materials Science and Technology), D\u00fcbendorf 8600, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jan","family":"Carmeliet","sequence":"additional","affiliation":[{"name":"Laboratory of Multiscale Studies in Building Physics, EMPA (Swiss Federal Laboratories for Materials Science and Technology), D\u00fcbendorf 8600, Switzerland"},{"name":"Chair of Building Physics, ETH Z\u00fcrich (Swiss Federal Institute of Technology in Z\u00fcrich), Z\u00fcrich 8093, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,2,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/BF02392113","article-title":"On capillary free surfaces in the absence of gravity","volume":"132","author":"Concus","year":"1974","journal-title":"Acta Math."},{"key":"ref_2","first-page":"87","article-title":"Dichotomous behavior of capillary surfaces in zero gravity","volume":"3","author":"Concus","year":"1990","journal-title":"Microgravity Sci. 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