Volume 87, Number 5, September 2009
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||22 September 2009|
Bifurcation and chaos in zero-Prandtl-number convection
Department of Physics, Indian Institute of Technology - Kanpur, India
2 Department of Mechanical Engineering, Indian Institute of Technology - Kanpur, India
3 Department of Physics and Meteorology, Indian Institute of Technology - Kharagpur, India
Corresponding author: email@example.com
Accepted: 21 August 2009
We present a detailed bifurcation structure and associated flow patterns near the onset of zero-Prandtl-number Rayleigh-Bénard convection. We employ both direct numerical simulation and a low-dimensional model ensuring qualitative agreement between the two. Various flow patterns originate from a stationary square observed at a higher Rayleigh number through a series of bifurcations starting from a pitchfork followed by a Hopf and finally a homoclinic bifurcation as the Rayleigh number is reduced to the critical value. Homoclinic chaos, intermittency, and crises are observed near the onset.
PACS: 47.20.Bp – Buoyancy-driven instabilities (e.g., Rayleigh-Benard) / 47.20.Ky – Nonlinearity, bifurcation, and symmetry breaking / 47.27.ed – Dynamical systems approaches
© EPLA, 2009
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