Weakly Nonlinear Rayleigh-Taylor Instability in Incompressible Fluids with Surface Tension
A weakly nonlinear model is established for incompressible Rayleigh-Taylor instability with surface tension. The temporal evolution of a perturbed interface is explored analytically via the third-order solution. The dependence of the first three harmonics on the surface tension is discussed. The amp...
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| Published in | Chinese physics letters Vol. 34; no. 4; pp. 60 - 63 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.03.2017
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| Online Access | Get full text |
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| Summary: | A weakly nonlinear model is established for incompressible Rayleigh-Taylor instability with surface tension. The temporal evolution of a perturbed interface is explored analytically via the third-order solution. The dependence of the first three harmonics on the surface tension is discussed. The amplitudes of bubble and spike are greatly affected by surface tension. The saturation amplitude of the fundamental mode versus the Atwood number A is investigated with surface tension into consideration. The saturation amplitude decreases with increasing A. Surface tension exhibits a stabilizing phenomenon. It is shown that the asymmetrical development of the perturbed interface occurs much later for large surface tension effect. |
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| Bibliography: | A weakly nonlinear model is established for incompressible Rayleigh-Taylor instability with surface tension. The temporal evolution of a perturbed interface is explored analytically via the third-order solution. The dependence of the first three harmonics on the surface tension is discussed. The amplitudes of bubble and spike are greatly affected by surface tension. The saturation amplitude of the fundamental mode versus the Atwood number A is investigated with surface tension into consideration. The saturation amplitude decreases with increasing A. Surface tension exhibits a stabilizing phenomenon. It is shown that the asymmetrical development of the perturbed interface occurs much later for large surface tension effect. Hong-Yu Guo1,2, Li-Feng Wang2,3, Wen-Hua Ye2,3, Jun-Feng Wu2, Wei-Yan Zhang2 （1 Graduate School, China Academy of Engineering Physics, Beijing 100088 ;2 Institute of Applied Physics and Computational Mathematics, Beijing 100094 ;3HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871） 11-1959/O4 |
| ISSN: | 0256-307X 1741-3540 |
| DOI: | 10.1088/0256-307X/34/4/045201 |