Numerical Research on Self-Sustained Oscillation and Chaos of Natural Convection in Horizontal Fluids Layer

Article Preview

Abstract:

Numerical simulation was conducted to study self-sustained oscillation and chaos of natural convection in horizontal fluids layer heated from below. The numerical simulation was conducted using SIMPLE algorithm with a QUICK scheme. Discrete time series was analyzed to study stability problem. Correlation dimension was calculated, their frequency characteristics were analyzed and chaos attractor was extracted. The results showed that oscillation appeared when Ra was over 2×104 and chaos appeared when Ra was over 5×106. When parameter was varied, chaos appeared. Strange attractor was used to describe chaos system. Fractal dimension of strange attractor was 1.19. Saturated embedding dimension of phase space reconstruction was 5. The time delay was selected for 5.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

3234-3239

Citation:

Online since:

October 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Kesslet,R. (1987) Nonlinear transition in three-dimensional convection, J. Fluid Mech., Vol. 174, pp.357-379.

Google Scholar

[2] Atul Srivastava, Panigrahi P K, Muralidhar K. Interfertric study of buoyancy-driven convection in a differentially heated circular fluid layer, Heat Mass Transfer, 2005, 41: 353-359.

DOI: 10.1007/s00231-004-0534-4

Google Scholar

[3] Muralidhar K, Suzuki.K. Heat transfer from an array of cylinders in oscillatory flow. Int J Heat Exchangers, 2004, 5: 239-264.

Google Scholar

[4] Brewster R A, Gebhart B. An experimental study of natural convection effects on downward freezing of pure water. Int J Heat Mass Trans, 1988, 31(2): 331-354.

DOI: 10.1016/0017-9310(88)90016-6

Google Scholar

[5] Tae Ho Ji , Seo Young Kim and Jae Min Hyun. Transient mixed convection in an enclosure driven by a sliding lid. Heat Mass Transfer. 2007, 43: 629–638.

DOI: 10.1007/s00231-006-0113-y

Google Scholar

[6] Thiruvengadam M, Armaly B F and Drallmeier J A. Three-Dimensional Mixed Convection in Plane Symmetric-Sudden Expansion: Bifurcated Flow Regime. ASME J heat transfer. 2007, 129: 819-826.

DOI: 10.1115/1.2712850

Google Scholar

[7] Zhan N Y, Xu P W, et al. Study on stability and 3-dimensional character for natural convection in a rectangular cavity heated from below. Sci China Ser E-Tech Sci, 2010, 53(6): 1647-1654.

DOI: 10.1007/s11431-010-3146-x

Google Scholar

[8] Jonhannsen K. On the validity of the Boussinesq approximation for the Elder problem. Comp Geoscience, 2003, 7: 169-182.

Google Scholar