Effects of surface tension and rotation on the Rayleigh–Taylor instability

Literature Information

Publication Date 2002-03-13
DOI 10.1039/B106242P
Impact Factor 3.676
Authors

A. H. A. Ayyad


View Original

Abstract

The effects of surface tension and uniform rotation of a vertical axis are theoretically investigated for three-fluid systems. The fluids are considered to be incompressible with varying density. Numerical results were obtained for two-fluid and three-fluid systems, namely air–water, water–mercury, hexane–NaCl, NaCl–CCl4, air–water–mercury and hexane–NaCl–CCl4. It is found that in the case of the two-fluid systems for the values studied here, rotation has no effect on the critical value of stability. The same phenomenon holds for the three-fluid cases. For the case in which one of the surface tensions T or T′ vanishes there are always two modes. One becomes stable while the other continues to grow exponentially with time. When both surfaces have non-vanishing surface tensions, the short wavelength perturbations will become completely stabilized. In the second case irregular behaviour of the growth rate as a function of the intermediate layer d is observed. This irregular behaviour and some other important results are reported here for the first time.

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Physical Chemistry Chemical Physics

Physical Chemistry Chemical Physics
CiteScore: 5.5
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Physical Chemistry Chemical Physics (PCCP) is an international journal co-owned by 19 physical chemistry and physics societies from around the world. This journal publishes original, cutting-edge research in physical chemistry, chemical physics and biophysical chemistry. To be suitable for publication in PCCP, articles must include significant innovation and/or insight into physical chemistry; this is the most important criterion that reviewers and Editors will judge against when evaluating submissions. The journal has a broad scope and welcomes contributions spanning experiment, theory, computation and data science. Topical coverage includes spectroscopy, dynamics, kinetics, statistical mechanics, thermodynamics, electrochemistry, catalysis, surface science, quantum mechanics, quantum computing and machine learning. Interdisciplinary research areas such as polymers and soft matter, materials, nanoscience, energy, surfaces/interfaces, and biophysical chemistry are welcomed if they demonstrate significant innovation and/or insight into physical chemistry. Joined experimental/theoretical studies are particularly appreciated when complementary and based on up-to-date approaches.

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