A numerical study of periodic disturbances on two-layer Couette flow
作者:
Jie Li,
Yuriko Y. Renardy,
Michael Renardy,
期刊:
Physics of Fluids
(AIP Available online 1998)
卷期:
Volume 10,
issue 12
页码: 3056-3071
ISSN:1070-6631
年代: 1998
DOI:10.1063/1.869834
出版商: AIP
数据来源: AIP
摘要:
The flow of two viscous liquids is investigated numerically with a volume of fluid scheme. The scheme incorporates a semi-implicit Stokes solver to enable computations at low Reynolds numbers, and a second-order velocity interpolation. The code is validated against linear theory for the stability of two-layer Couette flow, and weakly nonlinear theory for a Hopf bifurcation. Examples of long-time wave saturation are shown. The formation of fingers for relatively small initial amplitudes as well as larger amplitudes are presented in two and three dimensions as initial-value problems. Fluids of different viscosity and density are considered, with an emphasis on the effect of the viscosity difference. Results at low Reynolds numbers show elongated fingers in two dimensions that break in three dimensions to form drops, while different topological changes take place at higher Reynolds numbers. ©1998 American Institute of Physics.
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