Mathematical model of liquid spontaneous imbibition into gas-saturated porous media with dynamic contact angle and gravity
| Autor: | Jiuyu Zhao, Fuyong Wang |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Work (thermodynamics)
Gravity (chemistry) Materials science Capillary action Applied Mathematics General Chemical Engineering 02 engineering and technology General Chemistry Mechanics Nonlinear Sciences::Cellular Automata and Lattice Gases 021001 nanoscience & nanotechnology Condensed Matter::Disordered Systems and Neural Networks Industrial and Manufacturing Engineering Contact angle 020401 chemical engineering Bundle Fluid dynamics Imbibition 0204 chemical engineering 0210 nano-technology Porous medium |
| Zdroj: | Chemical Engineering Science. 229:116139 |
| ISSN: | 0009-2509 |
| Popis: | Liquid imbibition with dynamic contact angle is a ubiquitous phenomenon of fluid flow in porous media, but its analytical solution is challenging to derive. In this work, the analytical solution of liquid imbibition in an inclined capillary tube with velocity-dependent contact angle and gravity is first derived. The time required for the liquid-gas interface to reach a certain distance by spontaneous imbibition with static contact angle and dynamic contact angle are provided. Assuming that the porous medium consists of a bundle of tortuous capillary tubes with fractal distribution of pore size, a mathematical model of liquid imbibition in core-scale porous media with dynamic contact angle and gravity is developed. The studies show that the dynamic contact angle can significantly reduce the imbibition velocity at the initial stage of imbibition, especially in large pores, which forms a nonlinear correlation between imbibition velocity and imbibition time in a log-log plot. |
| Databáze: | OpenAIRE |
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