Effects of Horizontal Flow on Perturbation Growth and Convection Periodicity

HU Biao; NING Li-zhong; NING Bi-bo; TIAN Wei-li; WU Hao; NING Jing-hao

doi:10.21656/1000-0887.370314

Volume 38 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 2017 > 38(10): 1103-1111

HU Biao, NING Li-zhong, NING Bi-bo, TIAN Wei-li, WU Hao, NING Jing-hao. Effects of Horizontal Flow on Perturbation Growth and Convection Periodicity[J]. Applied Mathematics and Mechanics, 2017, 38(10): 1103-1111. doi: 10.21656/1000-0887.370314

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Effects of Horizontal Flow on Perturbation Growth and Convection Periodicity

doi: 10.21656/1000-0887.370314

¹State Key Laboratory Base of Ecohydraulic Engineering in Arid Area,Xi’an University of Technology, Xi’an 710048, P.R.China;²College of Civil Engineering and Architecture, Jiaxing University, Jiaxing, Zhejiang 314001, P.R.China;³Department of Architecture, Shanghai University, Shanghai 200444, P.R.China

Funds: The National Natural Science Foundation of China(10872164)

Received Date: 2016-10-17
Rev Recd Date: 2016-12-01
Publish Date: 2017-10-15

Abstract

Abstract

Numerical simulation of the 2D fully hydrodynamic equations for the pure fluid in a rectangular channel with horizontal flow for Prandtl number Pr=0.0272 was conducted. Growth and spatiotemporal evolution of the 1D traveling wave patterns in the RayleighBenard convection of the pure fluid were investigated. It is found that the convective growth process can be divided into 3 stages: the development stage, the exponential growth stage and the periodic variation stage. Through analysis on the variation of the maximum vertical velocity field with time for different relative Rayleigh numbers Ra_r in the exponential growth stage, a formula of variation of linear growth rate γ_m was obtained with respect to Ra_r. Furthermore, the traveling wave convection periodicity and its dependence on the horizontal flow Reynolds number were revealed.
- Rayleigh-Benard convection,
- growth rate,
- spatiotemporal pattern,
- periodicity

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References(21)

References

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