Numerical Simulation of Multiplicity and Stability of Mixed Convection in Rotating Curved Ducts
A numerical study is made on the fully developed bifurcation structure and stability of the mixed convection in rotating curved ducts of square cross-section with the emphasis on the effect of buoyancy force. The rotation can be positive or negative. The fluid can be heated or cooled. The study reve...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Rotating Machinery |
| Online Access: | http://dx.doi.org/10.1155/IJRM.2005.168 |
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| Summary: | A numerical study is made on the fully developed
bifurcation structure and stability of the mixed convection in
rotating curved ducts of square cross-section with the emphasis on
the effect of buoyancy force. The rotation can be positive or
negative. The fluid can be heated or cooled. The study reveals the
rich solution and flow structures and complicated stability
features. One symmetric and two symmetric/asymmetric solution
branches are found with seventy five limit points and fourteen
bifurcation points. The flows on these branches can be symmetric,
asymmetric, 2-cell, and up to 14-cell structures. Dynamic
responses of the multiple solutions to finite random disturbances
are examined by the direct transient computation. It is found that
possible physically realizable fully developed flows evolve, as
the variation of buoyancy force, from a stable steady multicell
state at a large buoyancy force of cooling to the coexistence of
three stable steady multicell states, a temporal periodic
oscillation state, the coexistence of periodic oscillation and
chaotic oscillation, a chaotic temporal oscillation, a
subharmonic-bifurcation-driven asymmetric oscillating state, and a
stable steady 2-cell state at large buoyancy force of heating. |
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| ISSN: | 1023-621X 1542-3034 |