Advances in Engineering Advances in Engineering features breaking research judged by Advances in Engineering advisory team to be of key importance in the Engineering field. Papers are selected from over 10,000 published each week from most peer reviewed journals.
Journal of Fluid Mechanics, Volume 740, 2014, pp 136- 167.
Hao Song1, Eric Brown2, Russell Hawkins3 , Penger Tong1
1 Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
2 Department of Mechanical Engineering and Materials Science, Yale University, New Haven, CT 06520, USA
3 School of Natural Sciences, University of California, Merced, CA 95343, USA.
Abstract
A systematic study of the effects of cell geometry on the dynamics of large-scale flows in turbulent thermal convection is carried out in horizontal cylindrical cells of different lengths filled with water. Four different flow modes are identified with increasing aspect ratio γ . For small aspect ratios (γ≤0.16), the flow is highly confined in a thin disc-like cell with a quasi-two-dimensional (quasi-2D) large-scale circulation (LSC) in the circular plane of the cell. For larger aspect ratios (γ>0.16), we observe periodic switching of the angular orientation θ of the rotation plane of LSC between the two longest diagonals of the cell. The sides of the container along which the LSC oscillates changes at a critical aspect ratio γc≃0.82. The measured switching period is equal to the LSC turnover time for γ≤γc, shows a sharp increase at γc and decays exponentially to the LSC turnover time with increasing γ. For γ≥1.3, a periodic rocking of LSC along the long axis of the cylinder is also observed. The measured probability density function P(θ) of the LSC orientation θ peaks at the two diagonal positions, and its shape is described by a phenomenological model proposed by Brown & Ahlers (Phys. Fluids, vol. 20, 2008b, 075101; J. Fluid Mech., vol. 638, 2009, pp. 383–400). Using this model, we describe the dynamics of the LSC orientation θ by stochastic motion in a double-well potential. The potential is predicted from a model in which the sidewall shape produces an orientation-dependent pressure on the LSC. This model also captures key features of the four flow modes. The experiment reveals an interesting array of rich dynamics of LSC in the horizontal cylinders, which are very different from those observed in the upright cylindrical convection cells. The success of the model for both upright and horizontal cylinders suggests that it can be applied to different geometries.
© 2014 Cambridge University Press
