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Temporal Evolution and Scaling of Mixing in Turbulent Thermal Convection for Inhomogeneous Boundary Conditions

Part of: Optics, electromagnetic theory - General

Published online by Cambridge University Press:  11 July 2017

Yikun Wei ,
Hua-Shu Dou ,
Zuchao Zhu ,
Zhengdao Wang ,
Yuehong Qian  and
Haihong Xue
Yikun Wei
Affiliation:
Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310023, China
Hua-Shu Dou*
Affiliation:
Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310023, China
Zuchao Zhu
Affiliation:
Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310023, China
Zhengdao Wang
Affiliation:
Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200444, China
Yuehong Qian
Affiliation:
Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200444, China
Haihong Xue
Affiliation:
Department of Pediatric, Xinhua Hospital, School of Medicine, Shanghai Jiaotong University, Shanghai 200240, China
*
*Corresponding author. Email:[email protected] (H.-S. Dou)
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Abstract

Numerical simulations of two-dimensional (2D) turbulent thermal convection for inhomogeneous boundary condition are investigated using the lattice Boltzmann method (LBM). This study mainly appraises the temporal evolution and the scaling behavior of global quantities and of small-scale turbulence properties. The research results show that the flow is dominated by large-scale structures in the turbulence regime. Mushroom plumes emerge at both ends of each heat source, and smaller plumes increasingly rise. It is found that the gradient of root mean-square (rms) vertical velocities and the gradient of the rms temperature in the bottom boundary layer decreases with time evolution. It is further observed that the temporal evolution of the Kolmogorov scale, the kinetic-energy dissipation rates and thermal dissipation rates agree well with the theoretical predictions. It is also observed that there is a range of linear scaling in the 2nd-order structure functions of the velocity and temperature fluctuations and mixed velocity-temperature structure function.

Keywords

Thermal convectionTurbulenceinhomogeneous boundary conditionsLattice Boltzmann method

MSC classification

Secondary: 78A48: Composite media; random media
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 5 , October 2017 , pp. 1035 - 1051
Copyright
Copyright © Global-Science Press 2017 

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