ISSN:
0961-5539
Source:
Emerald Fulltext Archive Database 1994-2005
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
The purpose of this numerical study is to analyse the character of transition from laminar to chaotic convection in a fluid layer bounded by no-slip walls in two space dimensions for varying aspect ratio odd-shaped enclosures consisting of two rectangular chambers, with a linking horizontal enclosure. For a medium Prandtl number fluid (Pr=7), the numerical solution of two-dimensional Navier-Stokes momentum and energy equations with Bousinessq approximation has been carried out. It has been found that there are finite Rayleigh numbers Ra1, Ra2 and Ra3 for the onset of single, two and multiple frequency oscillatory motion at different spatial locations in the enclosure. As Ra is further increased period doubling is observed. The onset of strong chaos appears when Ra=Ra3. This system does not revert to steady state convection at high Ra as observed by other researchers for the case of Rayleigh-Benard convection. Moreover, the period doubling transition process is consistent with the scenario of Ruelle, Takens and Newhouse. As Ra increases, the power spectrum, and time series of various dynamical variable signals, etc. all show an increasing degree of characteristics of chaos.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1108/09615530210448697
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