Effect of particles on turbulent thermal field of channel flow with different Prandtl numbers

doi:10.1007/s10483-016-2112-8

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (8): 987-998.doi: https://doi.org/10.1007/s10483-016-2112-8

Effect of particles on turbulent thermal field of channel flow with different Prandtl numbers

Caixi LIU¹, Yuhong DONG^1,2

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
2. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China

收稿日期:2015-12-25 修回日期:2016-03-23 出版日期:2016-08-01 发布日期:2016-08-01
通讯作者: Yuhong DONG E-mail:dongyh@staff.shu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11272198 and 11572183)

Effect of particles on turbulent thermal field of channel flow with different Prandtl numbers

Caixi LIU¹, Yuhong DONG^1,2

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
2. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China

Received:2015-12-25 Revised:2016-03-23 Online:2016-08-01 Published:2016-08-01
Contact: Yuhong DONG E-mail:dongyh@staff.shu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11272198 and 11572183)

摘要/Abstract

摘要：

The direct numerical simulation (DNS) of heat transfer in a fully developed non-isothermal particle-laden turbulent channel flow is performed. The focus of this paper is on the modulation of the particles on turbulent thermal statistics in the particle-laden flow with three Prandtl numbers (Pr=0.71, 1.5, and 3.0) and a shear Reynolds number (Re_τ=180). Some typical thermal statistics, including normalized mean temperature and their fluctuations, turbulent heat fluxes, Nusselt number and so on, are analyzed. The results show that the particles have less effects on turbulent thermal fields with the increase of Prandtl number. Two reasons can explain this. First, the correlation between fluid thermal field and velocity field decreases as the Prandtl number increases, and the modulation of turbulent velocity field induced by the particles has less influence on the turbulent thermal field. Second, the heat exchange between turbulence and particles decreases for the particle-laden flow with the larger Prandtl number, and the thermal feedback of the particles to turbulence becomes weak.

关键词: particle, thermal statistic, Prandtl number, channel flow, direct numerical simulation (DNS)

Abstract:

Key words: particle, thermal statistic, Prandtl number, channel flow, direct numerical simulation (DNS)

中图分类号:

76T20

Caixi LIU, Yuhong DONG. Effect of particles on turbulent thermal field of channel flow with different Prandtl numbers[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(8): 987-998.

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Effect of particles on turbulent thermal field of channel flow with different Prandtl numbers

Effect of particles on turbulent thermal field of channel flow with different Prandtl numbers

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