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Numerical Analysis on Natural Convection Heat Transfer in a Single Circular Fin-Tube Heat Exchanger (Part 1): Numerical Method

1
Department of Mechanical Engineering, Kunsan National University, Gunsan, Jeonbuk 54150, Korea
2
G&D Co., Gunsan, Jeonbuk 54001, Korea
3
R&D Center, S&H Co. Ltd., Suwon, Gyeonggi 16643, Korea
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(3), 363; https://doi.org/10.3390/e22030363
Received: 25 February 2020 / Revised: 13 March 2020 / Accepted: 19 March 2020 / Published: 21 March 2020
(This article belongs to the Section Thermodynamics)
In this research, unsteady three-dimensional incompressible Navier–Stokes equations are solved to simulate experiments with the Boussinesq approximation and validate the proposed numerical model for the design of a circular fin-tube heat exchanger. Unsteady time marching is proposed for a time sweeping analysis of various Rayleigh numbers. The accuracy of the natural convection data of a single horizontal circular tube with the proposed numerical method can be guaranteed when the Rayleigh number based on the tube diameter exceeds 400, which is regarded as the limitation of numerical errors due to instability. Moreover, the effective limit for a circular fin-tube heat exchanger is reached when the Rayleigh number based on the fin gap size ( Ra s ) is equal to or exceeds 100. This is because at low Rayleigh numbers, the air gap between the fins is isolated and rarely affected by natural convection of the outer air, where the fluid provides heat resistance. Thus, the fin acts favorably when Ra s exceeds 100. View Full-Text
Keywords: natural convection; circular fin-tube; heat exchanger; numerical method natural convection; circular fin-tube; heat exchanger; numerical method
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MDPI and ACS Style

Lee, J.H.; Shin, J.-H.; Chang, S.-M.; Min, T. Numerical Analysis on Natural Convection Heat Transfer in a Single Circular Fin-Tube Heat Exchanger (Part 1): Numerical Method. Entropy 2020, 22, 363. https://doi.org/10.3390/e22030363

AMA Style

Lee JH, Shin J-H, Chang S-M, Min T. Numerical Analysis on Natural Convection Heat Transfer in a Single Circular Fin-Tube Heat Exchanger (Part 1): Numerical Method. Entropy. 2020; 22(3):363. https://doi.org/10.3390/e22030363

Chicago/Turabian Style

Lee, Jong H., Jong-Hyeon Shin, Se-Myong Chang, and Taegee Min. 2020. "Numerical Analysis on Natural Convection Heat Transfer in a Single Circular Fin-Tube Heat Exchanger (Part 1): Numerical Method" Entropy 22, no. 3: 363. https://doi.org/10.3390/e22030363

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