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

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Abstract

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.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China

    Caixi Liu & Yuhong Dong

  2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China

    Yuhong Dong

Authors
  1. Caixi Liu
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  2. Yuhong Dong
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Correspondence to Yuhong Dong.

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Project supported by the National Natural Science Foundation of China (Nos. 11272198 and 11572183)

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Liu, C., Dong, Y. Effect of particles on turbulent thermal field of channel flow with different Prandtl numbers. Appl. Math. Mech.-Engl. Ed. 37, 987–998 (2016). https://doi.org/10.1007/s10483-016-2112-8

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  • DOI: https://doi.org/10.1007/s10483-016-2112-8

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Chinese Library Classification

2010 Mathematics Subject Classification

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