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Time Evolution Features of Entropy Generation Rate in Turbulent Rayleigh-Bénard Convection with Mixed Insulating and Conducting Boundary Conditions

by Yikun Wei 1, Pingping Shen 1, Zhengdao Wang 1,*,†, Hong Liang 2,*,† and Yuehong Qian 3
1
Joint Engineering Lab of Fluid Transmission System Technology, Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China
2
Department of Physics, Hangzhou Dianzi University, Hangzhou 310018, China
3
School of Mathematical Science, Soochow University, Suzhou 215006, China
*
Authors to whom correspondence should be addressed.
These authors contributed equally to this work.
Entropy 2020, 22(6), 672; https://doi.org/10.3390/e22060672
Received: 6 May 2020 / Revised: 7 June 2020 / Accepted: 7 June 2020 / Published: 17 June 2020
(This article belongs to the Special Issue Statistical Mechanics and Thermodynamics of Liquids and Crystals)
Time evolution features of kinetic and thermal entropy generation rates in turbulent Rayleigh-Bénard (RB) convection with mixed insulating and conducting boundary conditions at Ra = 109 are numerically investigated using the lattice Boltzmann method. The state of flow gradually develops from laminar flow to full turbulent thermal convection motion, and further evolves from full turbulent thermal convection to dissipation flow in the process of turbulent energy transfer. It was seen that the viscous, thermal, and total entropy generation rates gradually increase in wide range of t/τ < 32 with temporal evolution. However, the viscous, thermal, and total entropy generation rates evidently decrease at time t/τ = 64 compared to that of early time. The probability density function distributions, spatial-temporal features of the viscous, thermal, and total entropy generation rates in the closed system provide significant physical insight into the process of the energy injection, the kinetic energy, the kinetic energy transfer, the thermal energy transfer, the viscous dissipated flow and thermal dissipation. View Full-Text
Keywords: entropy generation rate; thermal plume; mixed boundary conditions; heat transfer entropy generation rate; thermal plume; mixed boundary conditions; heat transfer
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Wei, Y.; Shen, P.; Wang, Z.; Liang, H.; Qian, Y. Time Evolution Features of Entropy Generation Rate in Turbulent Rayleigh-Bénard Convection with Mixed Insulating and Conducting Boundary Conditions. Entropy 2020, 22, 672.

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