Numerical Analysis on Natural Convection Heat Transfer in a Single Circular Fin-Tube Heat Exchanger (Part 1): Numerical Method
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...
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MDPI AG
2020-03-01
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| Online Access: | https://www.mdpi.com/1099-4300/22/3/363 |
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| author | Jong Hwi Lee Jong-Hyeon Shin Se-Myong Chang Taegee Min |
| author_facet | Jong Hwi Lee Jong-Hyeon Shin Se-Myong Chang Taegee Min |
| author_sort | Jong Hwi Lee |
| collection | DOAJ |
| description | 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 (<inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mrow> <mi>Ra</mi> </mrow> <mi>s</mi> </msub> </mrow> </semantics> </math> </inline-formula>) 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 <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mrow> <mi>Ra</mi> </mrow> <mi>s</mi> </msub> </mrow> </semantics> </math> </inline-formula> exceeds 100. |
| first_indexed | 2024-04-11T18:21:45Z |
| format | Article |
| id | doaj.art-1481531024534aa3b75180f765385f75 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T18:21:45Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-1481531024534aa3b75180f765385f752022-12-22T04:09:45ZengMDPI AGEntropy1099-43002020-03-0122336310.3390/e22030363e22030363Numerical Analysis on Natural Convection Heat Transfer in a Single Circular Fin-Tube Heat Exchanger (Part 1): Numerical MethodJong Hwi Lee0Jong-Hyeon Shin1Se-Myong Chang2Taegee Min3Department of Mechanical Engineering, Kunsan National University, Gunsan, Jeonbuk 54150, KoreaG&D Co., Gunsan, Jeonbuk 54001, KoreaDepartment of Mechanical Engineering, Kunsan National University, Gunsan, Jeonbuk 54150, KoreaR&D Center, S&H Co. Ltd., Suwon, Gyeonggi 16643, KoreaIn 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 (<inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mrow> <mi>Ra</mi> </mrow> <mi>s</mi> </msub> </mrow> </semantics> </math> </inline-formula>) 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 <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mrow> <mi>Ra</mi> </mrow> <mi>s</mi> </msub> </mrow> </semantics> </math> </inline-formula> exceeds 100.https://www.mdpi.com/1099-4300/22/3/363natural convectioncircular fin-tubeheat exchangernumerical method |
| spellingShingle | Jong Hwi Lee Jong-Hyeon Shin Se-Myong Chang Taegee Min Numerical Analysis on Natural Convection Heat Transfer in a Single Circular Fin-Tube Heat Exchanger (Part 1): Numerical Method Entropy natural convection circular fin-tube heat exchanger numerical method |
| title | Numerical Analysis on Natural Convection Heat Transfer in a Single Circular Fin-Tube Heat Exchanger (Part 1): Numerical Method |
| title_full | Numerical Analysis on Natural Convection Heat Transfer in a Single Circular Fin-Tube Heat Exchanger (Part 1): Numerical Method |
| title_fullStr | Numerical Analysis on Natural Convection Heat Transfer in a Single Circular Fin-Tube Heat Exchanger (Part 1): Numerical Method |
| title_full_unstemmed | Numerical Analysis on Natural Convection Heat Transfer in a Single Circular Fin-Tube Heat Exchanger (Part 1): Numerical Method |
| title_short | Numerical Analysis on Natural Convection Heat Transfer in a Single Circular Fin-Tube Heat Exchanger (Part 1): Numerical Method |
| title_sort | numerical analysis on natural convection heat transfer in a single circular fin tube heat exchanger part 1 numerical method |
| topic | natural convection circular fin-tube heat exchanger numerical method |
| url | https://www.mdpi.com/1099-4300/22/3/363 |
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