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Natural convection in a square enclosure with a circular cylinder with adiabatic side walls according to bottom wall temperature variation

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Abstract

Two-dimensional numerical simulations were used to analyze the temperature-driven natural convection phenomena in a square enclosure with an inner cylinder in the Rayleigh number range of Ra =105 ~ 106. The immersed boundary method based on the finite volume method (FVM) was applied to generate and treat inner cylinders, which remained at constant high temperature with no-slip boundary condition. The cylinder remained at a constant high temperature with no-slip boundary conditions. The detailed phenomena of natural convection were investigated according to the bottom wall temperature with a cold and isothermal top walls and adiabatic side walls. The numerical solutions at a Rayleigh number of 105 reached steady state once the solutions fully converged. When the Rayleigh number increased to 106, the solution showed unsteady characteristic depending on the bottom wall temperature. In addition, the distribution of the isotherms in the lower part of the enclosure depended on the temperature variation of the bottom wall and the Rayleigh number. These effects had a significant influence on the convection structure in the lower part of the enclosure and on the corresponding heat transfer on the walls. The convection structures in the enclosure changed significantly in several cases at 106 with a high bottom wall temperature.

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Authors and Affiliations

  1. School of Mechanical Engineering, Pusan National University, 2 Busandaehak-ro, 63beon-gil, Geumjeong-gu, Busan, 46241, Korea

    Jaehyun Park, Gi Su Mun & Man Yeong Ha

  2. Rolls-Royce and Pusan National University Technology Centre in Thermal Management, Pusan National University, 2 Busandaehak-ro, 63beon-gil, Geumjeong-gu, Busan, 46241, Korea

    Minsung Kim & Yong Gap Park

Authors
  1. Jaehyun Park
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  2. Minsung Kim
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  3. Gi Su Mun
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  4. Yong Gap Park
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  5. Man Yeong Ha
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Corresponding authors

Correspondence to Yong Gap Park or Man Yeong Ha.

Additional information

Recommended by Associate Editor Jungil Lee

Man Yeong Ha received his undergraduate degree from Pusan National University, S. Korea, in 1981, as well as a Master’s degree from then Korea Advanced Institute of Science and Technology, S. Korea, in 1983, and his Ph.D. degree from Pennsylvania State University, USA, in 1990. He is currently a Professor at the School of Mechanical Engineering at Pusan National University in Busan, S. Korea. He served as Editor of the Journal of Mechanical Science and Technology. His research interests are focused on thermal heat management, computational fluid dynamics, and the finite volume method using a hybrid scheme.

Jaehyun Park received his undergraduate degree from the University of Texas at San Antonio in 2013 and started attending Pusan National University for the integrated Ph.D. program under the supervision of Professor Man Yeong Ha. Jaehyun Park is now focusing on heat transfer enhancement using various methods such as fundamental natural convection and multiphase simulations.

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Park, J., Kim, M., Mun, G.S. et al. Natural convection in a square enclosure with a circular cylinder with adiabatic side walls according to bottom wall temperature variation. J Mech Sci Technol 32, 3201–3211 (2018). https://doi.org/10.1007/s12206-018-0623-9

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  • DOI: https://doi.org/10.1007/s12206-018-0623-9

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