Open AccessSymmetric and asymmetric bifurcations of natural convection inside circular cavity in the route to chaos
Author(s) -
Jilai Chen,
Jishuo Zhang
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1985/1/012055
Subject(s) - natural convection , mechanics , enclosure , bifurcation , chaos (operating system) , convection , flow (mathematics) , thermal conduction , combined forced and natural convection , physics , heat transfer , hopf bifurcation , geometry , thermodynamics , mathematics , nonlinear system , engineering , telecommunications , computer security , quantum mechanics , computer science
Natural convection occurs when pipe floating at the water surface during night, which can be regarded as a circular cross-section enclosure heated from below and cooled from the top. Numerical investigation is carried out with focuses on the flow configurations in the route to chaos. When Ra is lower than 10 3 , convection is neglectable and conduction dominate the heat transfer. The flow becomes chaos and unsteady when Ra increases to 10 8 . In the route to chaos, the number of cell increase with the decrease of the cell size. It is found that a symmetric to asymmetric bifurcation of flow configuration followed by a asymmetric to symmetric exist for Ra between 10 3 to 10 6 .