Study on bifurcation to chaos of surface tension gradient driven flow

GUO Ziyi; LI Kai; KANG Qi; DUAN Li; HU Wenrui

doi:10.6052/1000-0992-20-022

Volume 51 Issue 1

Mar. 2021

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GUO Ziyi, LI Kai, KANG Qi, DUAN Li, HU Wenrui. Study on bifurcation to chaos of surface tension gradient driven flow[J]. Advances in Mechanics, 2021, 51(1): 1-28. doi: 10.6052/1000-0992-20-022

Citation:

GUO Ziyi, LI Kai, KANG Qi, DUAN Li, HU Wenrui. Study on bifurcation to chaos of surface tension gradient driven flow[J]. Advances in Mechanics, 2021, 51(1): 1-28. doi: 10.6052/1000-0992-20-022

GUO Ziyi, LI Kai, KANG Qi, DUAN Li, HU Wenrui. Study on bifurcation to chaos of surface tension gradient driven flow[J]. Advances in Mechanics, 2021, 51(1): 1-28. doi: 10.6052/1000-0992-20-022

Citation:

GUO Ziyi, LI Kai, KANG Qi, DUAN Li, HU Wenrui. Study on bifurcation to chaos of surface tension gradient driven flow[J]. Advances in Mechanics, 2021, 51(1): 1-28. doi: 10.6052/1000-0992-20-022

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Study on bifurcation to chaos of surface tension gradient driven flow

doi: 10.6052/1000-0992-20-022

GUO Ziyi,
LI Kai^{*
,
,},
KANG Qi^{**
,
,},
DUAN Li,
HU Wenrui

National Microgravity Laboratory, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China

More Information

Corresponding author: LI Kai; KANG Qi
Received Date: 2020-09-14
Publish Date: 2021-03-25

Abstract

Abstract

As the primary heat and mass transfer mechanism in space through natural convection, surface tension gradient-driven convection is a complex nonlinear process concerning strong coupling between fluid flow and heat transfer. It is also a multiple parameter coupling process that exhibits complex spatial-temporal characteristics. Therefore, the mechanism of the surface tension gradient-driven convection becomes a hotspot in microgravity fluid physics. It also has many important applications, such as in space fluid and energy management. In this paper, recent experimental and numerical results on the transition of surface tension gradient-driven convection are reviewed, especially the nonlinear analysis on the flow bifurcations to chaos. There are several numerical methods to obtain the corresponding bifurcation diagrams. One is to integrate the model forward in time starting from different parameters and initial values, and others are to calculate the asymptotic flow states and bifurcation points directly. The direct numerical simulation method and time series analysis are widely used, but searching for bifurcation points from a large number of data is burdensome. Bifurcation points can be computed directly with the numerical bifurcation method, but such calculations are more difficult to implement than the direct numerical method.
- surface gradient tension-driven convection,
- microgravity,
- bifurcation,
- chaos

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References(105)

References

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