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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018025245
pages 1307-1317

OSCILLATORY SOLUTION OF NATURAL CONVECTION IN A HORIZONTAL ANNULUS WITH A ROTATING INNER CYLINDER

Z. Wang
State-Province Joint Engineering Lab of Fluid Transmission System Technology Faulty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, China
Yikun Wei
State-Province Joint Engineering Lab of Fluid Transmission System Technology Faulty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, China
Yuehong Qian
School of Mathematical Science, Soochow University, 215006, Jiangsu, China

ABSTRACT

An oscillatory phenomenon of natural convection in a horizontal annulus is investigated using a thermal immersed boundary–lattice Boltzmann method. Different dimensionless rotating speeds based on the characteristic velocity of convection varied from 0 to 1 are carried out in annuli. We mainly focus on describing this phenomenon and trying to explain the mechanism of it. Our results manifest the existence of oscillatory solutions in in-narrow annuli with rotating inner cylinder. Comparing with convection in a stationary inner cylinder which converges to stable results either single solution or bifurcation solutions, convection in a rotating inner cylinder oscillate between one-peak regime and two-peak regime when the rotating speed is in a special range. It is further found that the oscillatory phenomenon disappears, and the solution converges to a stable result again when the rotating speed is higher or lower than the critical value of this special range.

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