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- W2026896102 abstract "A dynamical system governing the Rayleigh–Bénard convection of an electrically conducting fluid contained in a rectangular box heated from below with application of a uniform horizontal magnetic field (mathcal{B}_{0}) is constructed with the aid of the Galerkin procedures. Let the externally imposed temperatures be denoted by T1 and T2 on the box bottom and top walls respectively. The box dimensions are 2Lx in length, 2Ly in width, and 2Lz in depth with the gravitational acceleration directed downward along the z-axis. The system is characterized by a set of the non-dimensional external parameters: the Rayleigh number Ra proportional to the temperature difference T1 − T2; the Chandrasekhar number Q proportional to (mathcal{B}_{0}^{2}); the Prandtl number Pr of the fluid; and the box aspect ratios Γx = Lx/Lz and Γy = Ly/Lz. Computer simulations of time evolution of the convection give the results that for a fluid of Pr = 0.025 in a box of Γx = 4 and Γy = 1 at a suitably chosen value of Q = 22 with increase of Ra the fluid motion undergoes a successive period-doubling bifurcations up to 1/8 the fundamental frequency eventually leading to non-periodicity." @default.
- W2026896102 created "2016-06-24" @default.
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- W2026896102 date "2014-11-15" @default.
- W2026896102 modified "2023-09-26" @default.
- W2026896102 title "Period-Doubling Cascade to Chaos of the Rayleigh–Bénard Convection in a Rectangular Box" @default.
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- W2026896102 doi "https://doi.org/10.7566/jpsj.83.114401" @default.
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