Abstract
A new basic single-corner capillary model is presented. In this model, the distribution of immiscible fluids is determined by a particular threshold pressure. Additionally, we derive and analyze the interface curvature and profile of the fluid menisci in different tubes. Various polygonal cross sections are obtained by repeatedly superposing the basic single-corner capillary model. We study the relationship between the number of polygon edges and the distribution of fluids as well as the saturation of the wetting phase in equilateral polygon tubes. Furthermore, for the first time, we discuss the interaction of the corners to reveal the five stages of the fluid interfaces with various corner geometries. The dimensionless interface curvature and the radius of the circle are considered to extend our conclusions to similar cross-sectional capillary tubes of different sizes.
Highlights
The research of flow in pore level tube models is of great importance in revealing the flow mechanism in porous media
We study the relationship between the number of polygon edges and the distribution of fluids as well as the saturation of the wetting phase in equilateral polygon tubes
The results indicate that with larger contact angles of the same corner capillary tube geometry, the capillary pressure decreases and the meniscus radius becomes larger
Summary
The research of flow in pore level tube models is of great importance in revealing the flow mechanism in porous media. Considering the presence of the contact angle in natural flow, Jia et al (2007) extended the work of Mason and Morrow to the case of two-phase flow with arbitrary contact angles, and they derived the distribution of the interface between the two immiscible fluids, controlled by the entry pressure, in a triangular capillary tube.
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