Miscible density-unstable displacement flows in inclined tube

被引：53

作者：

Alba, K. ^{[1
]}

Taghavi, S. M. ^{[2
]}

Frigaard, I. A. ^{[1
,3
]}

机构：

[1] Univ British Columbia, Dept Mech Engn, Vancouver, BC V6T 1Z4, Canada

[2] Univ Michigan, Dept Chem Engn, Ann Arbor, MI 48109 USA

[3] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

来源：

PHYSICS OF FLUIDS | 2013年 / 25卷 / 06期

基金：

加拿大自然科学与工程研究理事会;

关键词：

TILTED TUBES; CAPILLARY TUBES; FLUIDS; TURBULENT; VELOCITY; PIPE;

D O I：

10.1063/1.4808113

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study the displacement flow of two Newtonian fluids in an inclined pipe. The fluids have the same viscosity but different densities. The displacing fluid is denser than the displaced fluid and is placed above the displaced fluid (i.e., a density-unstable configuration). Three dimensionless groups describe these flows: a densimetric Froude number Fr, a Reynolds number Re, and the pipe inclination beta. Our experiments cover fairly broad ranges of these parameters: 0 <= Fr <= 9; 0 <= Re (sic) 2400; 0 <= beta <= 85 degrees. Phenomenologically, our experimental flow observations vary from well mixed fully diffusive regimes, through buoyancy-dominated inertial exchange regimes, to laminar viscous flows, all with varying degrees of stability. We characterize the different flow regimes observed in terms of the three dimensionless groups and provide leading order approximations to the velocity of the displacement front and the macroscopic diffusion in each regime. (C) 2013 AIP Publishing LLC.

引用

页数：21

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