Computer simulation of viscous fingering in a lifting Hele-Shaw cell with grooved plates

Abstract

We simulate viscous fingering generated by separating two plates with a constant force, in a lifting Hele-Shaw cell. Variation in the patterns for different fluid viscosity and lifting force is studied. Viscous fingering is strongly affected by anisotropy. We report a computer simulation study of fingering patterns, where circular or square grooves are etched on to the lower plate. Results are compared with experiments.

Advanced progresses in nature gas pipelining applying different drag reduction/energy saving technologies: a review

“…The process of nature gas flowing in the pipe is very complex and complicated (Martin, Ooi, Dopazo, Chong, & Soria, 1997;Mizuno, Atkinson, & Soria, 2011;Perry & Chong, 1987;Pirozzoli & Grasso, 2004;Pirozzoli, Bernardini, & Grasso, 2008), and the flowing state of natural gas in a pipeline is almost in the turbulence (Gao, Liu, & Duan, 2009;Gong, Liu, & Wang, 2010;Liu, Lu, & Xue, 2010;Ooi, Martin, Soria, & Chong, 1999;Tarafdar, Nag, Dutta, & Sinha, 2009;Zou & Lin, 2009), but in the meantime, not the whole fluid on the flow section stays in the same turbulent state (Benhamza & Belaid, 2009;Dong & Zhan, 2009;Huang, Murai, & Yamamoto, 2009;Qiu, Zhang, Lu, & Liu, 2009). Near the pipe wall, the transverse pulsating movement is fully constrained by the wall, so the turbulent shear stress generated by the pulsation is very small, which can be regarded as negligible, and the viscous drag friction plays the dominant and primary role.…”