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Entropy generation of turbulent double-diffusive natural convection in a rectangle cavity

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  • Chen, Sheng
  • Du, Rui

Abstract

Turbulent double-diffusive natural convection is of fundamental interest and practical importance. In the present work we investigate systematically the effects of thermal Rayleigh number (Ra), ratio of buoyancy forces (N) and aspect ratio (A) on entropy generation of turbulent double-diffusive natural convection in a rectangle cavity. Several conclusions are obtained: (1) The total entropy generation number (Stotal) increases with Ra, and the relative total entropy generation rates are nearly insensitive to Ra when Ra ≤ 109; (2) Since N > 1, Stotal increases quickly and linearly with N and the relative total entropy generation rate due to diffusive irreversibility becomes the dominant irreversibility; and (3) Stotal increases nearly linearly with A. The relative total entropy generation rate due to diffusive and thermal irreversibilities both are monotonic decreasing functions against A while that due to viscous irreversibility is a monotonic increasing function with A. More important, through the present work we observe a new phenomenon named as “spatial self-copy” in such convectional flow. The “spatial self-copy” phenomenon implies that large-scale regular patterns may emerge through small-scale irregular and stochastic distributions. But it is still an open question required further investigation to reveal the physical meanings hidden behind it.

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  • Chen, Sheng & Du, Rui, 2011. "Entropy generation of turbulent double-diffusive natural convection in a rectangle cavity," Energy, Elsevier, vol. 36(3), pages 1721-1734.
    • Handle: RePEc:eee:energy:v:36:y:2011:i:3:p:1721-1734
    DOI: 10.1016/j.energy.2010.12.056
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    References listed on IDEAS

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    1. Chen, Sheng & Tian, Zhiwei, 2009. "Simulation of microchannel flow using the lattice Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(23), pages 4803-4810.
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    1. Basak, Tanmay & Anandalakshmi, R. & Kumar, Pushpendra & Roy, S., 2012. "Entropy generation vs energy flow due to natural convection in a trapezoidal cavity with isothermal and non-isothermal hot bottom wall," Energy, Elsevier, vol. 37(1), pages 514-532.
    2. Ibáñez, Guillermo & López, Aracely & Pantoja, Joel & Moreira, Joel & Reyes, Juan A., 2013. "Optimum slip flow based on the minimization of entropy generation in parallel plate microchannels," Energy, Elsevier, vol. 50(C), pages 143-149.
    3. Mahian, Omid & Mahmud, Shohel & Heris, Saeed Zeinali, 2012. "Analysis of entropy generation between co-rotating cylinders using nanofluids," Energy, Elsevier, vol. 44(1), pages 438-446.
    4. Biswal, Pratibha & Basak, Tanmay, 2017. "Entropy generation vs energy efficiency for natural convection based energy flow in enclosures and various applications: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 1412-1457.
    5. Mamourian, Mojtaba & Milani Shirvan, Kamel & Mirzakhanlari, Soroush, 2016. "Two phase simulation and sensitivity analysis of effective parameters on turbulent combined heat transfer and pressure drop in a solar heat exchanger filled with nanofluid by Response Surface Methodol," Energy, Elsevier, vol. 109(C), pages 49-61.
    6. Juan Serrano-Arellano & Juan M. Belman-Flores & Jesús Xamán & Karla M. Aguilar-Castro & Edgar V. Macías-Melo, 2020. "Numerical Study of the Double Diffusion Natural Convection inside a Closed Cavity with Heat and Pollutant Sources Placed near the Bottom Wall," Energies, MDPI, vol. 13(12), pages 1-17, June.

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