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Numerical study on natural convection in a square enclosure containing a rectangular heated cylinder

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Abstract

In this paper, the natural convection in a square enclosure with a rectangular heated cylinder is investigated via the lattice Boltzmann method. A detailed study is conducted on the effect of the cylinder width and the Rayleigh number on the fluid flow and heat transfer. The flow structures and heat transfer patterns are classified into eight buoyant regimes, i.e., four steady regimes, two periodic regimes, one multiple periodic regime, and one chaos regime, two of which are reported for the first time.

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References

  1. Bejan A. Convetion Heat Transfer. 3rd ed. New York: Wiley, 2004

    Google Scholar 

  2. Kim B S, Ha M Y, Yoon H S. A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations. International Journal of Heat and Mass Transfer, 2008, 51(7,8): 1888–1906

    Article  MATH  Google Scholar 

  3. Angeli D, Levoni P, Brozzi G S. Numerical predictions for stable regimes with a square cavity containing a heated horizontal cylinder. International Journal of Heat and Mass Transfer, 2008, 51(3,4): 553–565

    Article  MATH  Google Scholar 

  4. Perrin L, Menard V, Reulet P, Micheli F, Millan P. Dynamical and thermal behaviour of a confined natural convection flow. In: 16th International Symposium on Transport Phenomena. Prague, 2005, ISTP-16

  5. Guo Zhaoli, Shi Baochang, Wang Nengchao. Lattice BGK model for incompressible Navier-Stokes equation. Journal of Computational Physics, 2000, 165(1): 298–306

    Article  MathSciNet  Google Scholar 

  6. Guo Zhaoli, Zheng Chuguang, Li Qing, Wang Nengchao. Lattice Boltzmann Method for Hydrodynamics. Wuhan: Hubei Science and Technology Press, 2002 (in Chinese)

    Google Scholar 

  7. Guo Zhaoli, Shi Baochang, Zheng Chuguang. A coupled lattice BGK model for the Boussinesq equations. International Journal for Numerical Methods in Fluids, 2002, 39(4): 325–342

    Article  MATH  MathSciNet  Google Scholar 

  8. Shi Baochang, He Nanzhong, Wang Nengchao. A unified thermal lattice BGK model for Boussinesq equations. Progress in Computational Fluid Dynamics, 2005, 5(1,2): 50–64

    Article  MathSciNet  Google Scholar 

  9. Ziegler D. Boundary conditions for the lattice Boltzmann simulations. Journal of Statistical Physics, 1993, 71(5,6): 1171–1177

    Article  MATH  Google Scholar 

  10. Guo Zhaoli, Zheng Chuguang, Shi Baochang. Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method. Chinese Physics, 2002, 11(4): 366–374

    Article  MathSciNet  Google Scholar 

  11. Hortmann M, Peric M, Scheuerer G. Finite volume multigrid prediction of laminar natural convection: Benchmark solutions. International Journal for Numerical Methods in Fluids, 1990, 11(2): 189–207

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, 430074, China

    Jianhua Lu, Zhaoli Guo & Zhenhua Chai

  2. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China

    Baochang Shi

Authors
  1. Jianhua Lu
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  2. Baochang Shi
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  3. Zhaoli Guo
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  4. Zhenhua Chai
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Correspondence to Zhaoli Guo.

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Lu, J., Shi, B., Guo, Z. et al. Numerical study on natural convection in a square enclosure containing a rectangular heated cylinder. Front. Energy Power Eng. China 3, 373–380 (2009). https://doi.org/10.1007/s11708-009-0078-x

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  • DOI: https://doi.org/10.1007/s11708-009-0078-x

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