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Heat transfer and friction correlations for offset strip fins relative to the offset ratio

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Abstract

Previous studies on the dimensionless Fanning friction factor (f) and Colburn heat transfer factor (j) of offset strip fins have considered an offset ratios of 50. However, most mass-produced offset strip fins have an offset ratio of 30, while a few others have offset ratios of 20 or 10. Thus, previous correlations usually overpredicted j over the entire range of Reynolds numbers for offset ratio of 30 or lower. In this study, we numerically investigated the thermal-hydraulic characteristics of an offset strip fin relative to the offset ratio. In particular, we analyzed the difference in thermal performance subject to the offset ratio based on a 3D computational fluid dynamics analysis. The values of f and j were obtained using eight geometries with different offset ratios. New correlations for f and j were derived from the data obtained through nonlinear regression and multilinear regression. These correlations considered the offset ratio as a variable. Therefore, the heat performance was predicted to be more accurate than the previous correlations. In addition, new correlations could be used to determine the values of f and j using simple calculations.

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Abbreviations

c p :

Specific heat at a constant pressure

c 1, c 2, c 3, c 4 :

Regression factors of f and j correlations

D h :

Hydraulic diameter

f :

Heat transfer coefficient

h f :

Fin height

j :

Colburn factor

l f :

Fin length

Pr :

Prandtl number

P :

Pressure

ΔP :

Pressure drop

Re :

Reynolds number

S ij :

Strain rate

S f :

Fin spacing

t f :

Fin thickness

t t :

Tube thickness

u, v, w :

Velocity

α :

sf/hf

γ :

tf/sf

δ :

tf/lf

ε :

Dissipation rate of turbulent kinetic energy.

θ :

Offset ratio

μ :

Dynamic viscosity

ν :

Kinetic viscosity

ν t :

Turbulent viscosity

ρ :

Density

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Acknowledgments

This paper was supported by Education and Research promotion program of KOREATECH in 2021.

Author information

Authors and Affiliations

  1. School of Mechatronics Engineering, Korea University of Technology and Education, Cheonan, 31253, Korea

    Je Ha Jung, Min Seok Kim & Taek Keun Kim

  2. Department of Electromechanical Convergence Engineering, Korea University of Technology and Education, Cheonan, 31253, Korea

    Jong Won Kim

Authors
  1. Je Ha Jung
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  2. Min Seok Kim
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  3. Jong Won Kim
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  4. Taek Keun Kim
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Corresponding author

Correspondence to Taek Keun Kim.

Additional information

Je Ha Jung is a Researcher of the School of Mechatronics Engineering, Korea University of Technology and Education, Cheonan, Korea. He received his master’s degree in Mechatronics Engineering from Korea University of Technology and Education. His research interests include thermal, fluid and heat transfer.

Min Seok Kim is a Researcher of the School of Mechatronics Engineering, Korea University of Technology and Education, Cheonan, Korea. He conducted research on the optimal design to reduce the thermal and flow characteristics of offset strip fins and the flow resistance of eco-friendly pickup trucks.

Jong Won Kim is a Professor of the Department of Electromechanical Convergence Engineering in Korea University of Technology and Education. He received his Ph.D. in Korea University of Technology and Education, Cheonan, Korea. His research interests included intellectual semiconductor fabrication equipment technology and computational system processing configurations for electromechanical convergence.

Taek Keun Kim received his B.S. degree in Mechanical Engineering from Korea University of Technology and Education in 2001 and M.S. degree from Seoul National University in 2004. He received his Ph.D. in Seoul National University. He is currently a Professor at School of Mechatronics Engineering, Korea University of Technology and Education, Cheonan, Korea.

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Jung, J.H., Kim, M.S., Kim, J.W. et al. Heat transfer and friction correlations for offset strip fins relative to the offset ratio. J Mech Sci Technol 37, 4327–4337 (2023). https://doi.org/10.1007/s12206-023-0748-3

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  • DOI: https://doi.org/10.1007/s12206-023-0748-3

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