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Flow bifurcation routes to chaos of thermocapillary convection for low Prandtl number fluid in shallow annular pool with surface heat dissipation
Zhang L; Li YR; Wu CM; Liu QS(刘秋生)
Source PublicationINTERNATIONAL JOURNAL OF THERMAL SCIENCES
2018-03-01
Volume125Pages:23-33
ISSN1290-0729
Abstract

In order to understand clearly the transition characteristics of thermocapillary convection of low Prandtl number fluid in shallow annular pool with surface heat dissipation, some bifurcation routes to chaos of thermocapillary convection have been numerically investigated by using the finite volume method in this paper. The annular pool was filled with the low Prandtl (Pr) number fluid of Pr = 0.011. The range of Biot number is from 0 to 1. Results indicate that the flow bifurcation route of thermocapillary convection depends intensively on surface heat dissipation. When surface heat dissipation is smaller, with the increase of Marangoni number the flow bifurcation sequence of thermocapillary convection is two-dimensional axisymmetric steady flow -> three-dimensional steady flow -> coexisting hydrothermal waves and radial moving waves -> radial moving waves -> chaos. When surface heat dissipation is larger, the bifurcation sequence becomes simple as two-dimensional axisynunetaic steady flow -> hydrothermal waves -> chaos. Furthermore, every bifurcation of thermocapillary convection is always accompanied by the variations of the wave number and the oscillatory frequency. Furthermore, the temperature fluctuation amplitude on the free surface increases gradually with the increase of Marangoni number.

KeywordFlow bifurcation Thermocapillary convection Low Prandtl number Shallow annular pool Surface heat dissipation
DOI10.1016/j.ijthermalsci.2017.11.010
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000423646300003
WOS Keyword3-DIMENSIONAL NUMERICAL-SIMULATION ; HORIZONTAL TEMPERATURE-GRADIENT ; LIQUID LAYERS ; SILICON MELT ; BINARY-MIXTURE ; BUOYANCY FLOW ; INSTABILITY ; EVAPORATION ; MECHANISMS ; TRANSITION
WOS Research AreaThermodynamics ; Engineering, Mechanical
WOS SubjectThermodynamics ; Engineering
Funding OrganizationNational Natural Science Foundation of China [51776022, 11532015]
Classification一类
Ranking4
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/77915
Collection国家微重力实验室
Affiliation1.Chongqing Univ, Key Lab Low Grade Energy Utilizat Technol & Syst, Minist Educ, Coll Power Engn, Chongqing 400044, Peoples R China
2.Sichuan Int Studies Univ, Chongqing Nanfang Translators Coll, Chongqing 401120, Peoples R China
3.Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Natl Micrograv Lab, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhang L,Li YR,Wu CM,et al. Flow bifurcation routes to chaos of thermocapillary convection for low Prandtl number fluid in shallow annular pool with surface heat dissipation[J]. INTERNATIONAL JOURNAL OF THERMAL SCIENCES,2018,125:23-33.
APA Zhang L,Li YR,Wu CM,&Liu QS.(2018).Flow bifurcation routes to chaos of thermocapillary convection for low Prandtl number fluid in shallow annular pool with surface heat dissipation.INTERNATIONAL JOURNAL OF THERMAL SCIENCES,125,23-33.
MLA Zhang L,et al."Flow bifurcation routes to chaos of thermocapillary convection for low Prandtl number fluid in shallow annular pool with surface heat dissipation".INTERNATIONAL JOURNAL OF THERMAL SCIENCES 125(2018):23-33.
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