Physics – Fluid Dynamics
Scientific paper
2010-03-10
Journal of Fluid Mechanics, Vol. 668, pp. 480-499, (2011)
Physics
Fluid Dynamics
Accepted for publication in Journal of Fluid Mechanics (2010)
Scientific paper
10.1017/S0022112010004830
We present a numerical study of the reversals and reorientations of the large scale circulation (LSC) of convective fluid in a cylindrical container of aspect ratio one. We take Prandtl number to be 0.7 and Rayleigh numbers in the range from $6\times10^5$ to $3\times10^7$. It is observed that the reversals of the LSC are induced by its reorientation along the azimuthal direction, which are quantified using the phases of the first Fourier mode of the vertical velocity measured near the lateral surface in the mid plane. During a ``complete reversal'', the above phase changes by around $180^0$ leading to reversals of the vertical velocity at all the probes. On the contrary, the vertical velocity reverses only at some of the probes during a ``partial reversal'' with phase change other than $180^0$. Numerically we observe rotation-led and cessation-led reorientations, in agreement with earlier experimental results. The ratio of the amplitude of the second Fourier mode and the first Fourier mode rises sharply during the cessation-led reorientations. This observation is consistent with the quadrupolar dominant temperature profile observed during the cessations. We also observe reorientations involving double cessation.
De Arnab
Eswaran Vinayak
Mishra Pankaj Kumar
Verma Mahendra K.
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