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Study on Bifurcation and Dual Solutions in Natural Convection in a Horizontal Annulus with Rotating Inner Cylinder Using Thermal Immersed Boundary-Lattice Boltzmann Method

by 1,2, 3,*,†, 4,*,† and 5
1
Faculty of Mechanical Engineering & Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China
2
State-Province Joint Engineering Lab of Fluid Transmission System Technology, Hangzhou 310018, China
3
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
4
School of Mathematical Sciences, Soochow University, Suzhou 215006, China
5
Basic Courses Department, Shandong University of Science and Technology, Taian 271019, China
*
Authors to whom correspondence should be addressed.
These authors contributed equally to this work.
Entropy 2018, 20(10), 733; https://doi.org/10.3390/e20100733
Received: 22 July 2018 / Revised: 13 September 2018 / Accepted: 17 September 2018 / Published: 25 September 2018
(This article belongs to the Special Issue New Trends in Statistical Physics of Complex Systems)
A numerical investigation has been carried out to understand the mechanism of the rotation effect on bifurcation and dual solutions in natural convection within a horizontal annulus. A thermal immersed boundary-lattice Boltzmann method was used to resolve the annular flow domain covered by a Cartesian mesh. The Rayleigh number based on the gap width is fixed at 104. The rotation effect on the natural convection is analyzed by streamlines, isotherms, phase portrait and bifurcation diagram. Our results manifest the existence of three convection patterns in a horizontal annulus with rotating inner cylinder which affect the heat transfer in different ways, and the linear speed ( U i * ) determines the proportion of each convection. Comparison of average Nusselt number versus linear speed for the inner cylinder indicates the existence of the three different mechanisms which drive the convection in a rotation system. The convection pattern caused by rotation reduces the heat transfer efficiency. Our results in phase portraits also reveal the differences among different convection patterns. View Full-Text
Keywords: natural convection; bifurcation; horizontal annulus; thermal IB-LBM; rotation natural convection; bifurcation; horizontal annulus; thermal IB-LBM; rotation
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MDPI and ACS Style

Wei, Y.; Wang, Z.; Qian, Y.; Guo, W. Study on Bifurcation and Dual Solutions in Natural Convection in a Horizontal Annulus with Rotating Inner Cylinder Using Thermal Immersed Boundary-Lattice Boltzmann Method. Entropy 2018, 20, 733. https://doi.org/10.3390/e20100733

AMA Style

Wei Y, Wang Z, Qian Y, Guo W. Study on Bifurcation and Dual Solutions in Natural Convection in a Horizontal Annulus with Rotating Inner Cylinder Using Thermal Immersed Boundary-Lattice Boltzmann Method. Entropy. 2018; 20(10):733. https://doi.org/10.3390/e20100733

Chicago/Turabian Style

Wei, Yikun; Wang, Zhengdao; Qian, Yuehong; Guo, Wenjing. 2018. "Study on Bifurcation and Dual Solutions in Natural Convection in a Horizontal Annulus with Rotating Inner Cylinder Using Thermal Immersed Boundary-Lattice Boltzmann Method" Entropy 20, no. 10: 733. https://doi.org/10.3390/e20100733

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