Multi-Roll Type Convection Patterns in Cavities Heated Laterally

NING Lizhong; ZHANG Ke; NING Bibo; WU Hao; TIAN Weili

doi:10.21656/1000-0887.400165

Volume 41 Issue 3

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NING Lizhong, ZHANG Ke, NING Bibo, WU Hao, TIAN Weili. Multi-Roll Type Convection Patterns in Cavities Heated Laterally[J]. Applied Mathematics and Mechanics, 2020, 41(3): 250-259. doi: 10.21656/1000-0887.400165

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Multi-Roll Type Convection Patterns in Cavities Heated Laterally

doi: 10.21656/1000-0887.400165

¹Faculty of Water Resources and Hydroelectric Engineering, 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: 2019-05-09
Rev Recd Date: 2019-05-24
Publish Date: 2020-03-01

Abstract

Abstract

The numerical simulation was carried out based on the hydrodynamic equations, and the convection patterns in cavities with large aspect ratios heated laterally at inclined angle θ=90° were studied. For the fluid with Prandtl number Pr=6.99 in the range of reduced Rayleigh number 2≤Ra_r≤ 25, a singleroll type convection pattern occurs in the cavity. For the fluid with Pr=0.027 2 and Ra_r=13.9, with the development of calculation time, the convection pattern in the cavity transforms from the original singleroll type to the multi-roll type, which is a new type of convection pattern pertinent to large-aspect-ratio cavities heated laterally. The calculation results for different Ra_r values show that,Ra_r has a significant effect on the formation of convection patterns. A single-roll type convection pattern occurs for Ra_r≤4.4; for Ra_r=8.9~11.1, the system is in a transitional state; and a multi-roll type convection pattern appears for Ra_r≥13.9. The maximum convection amplitude and Nusselt number Nu increase with Ra_r.The comparison with the convection pattern for Pr=6.99 shows that the formation of the convection pattern depends on Pr.
- single-roll type,
- multi-roll type,
- convection pattern,
- cavity heated laterally

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References

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