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Numerical analysis of generation of Colburn j and friction f factor for the pin fins of a compact heat exchanger using CFD approach

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Abstract

A Compact Heat Exchanger has a large heat transfer area per unit volume, which is achieved by utilizing extremely high-density fins. A pin fin is one of the most frequently used fins because of its advantages such as minimal pressure drop and ease of fabrication by adjusting geometric parameters such as fin height (h), fin spacing (a), fin back pitch (b), and fin diameter (d). A numerical examination was carried out on a pin fin to develop a correlation between the Colburn-j factor and friction f factor. The study was conducted for a large range of Reynolds (Re) values, encompassing both laminar (Re 200–2000) and turbulent regions (Re 2500–15000). ANSYS Fluent was used to conduct the CFD-based numerical analysis, with air at 300 K as the working fluid. The Colburn j factor and friction f factor data were acquired in this numerical study for various Reynolds numbers, as well as non-dimensional geometrical characteristics such as the fin diameter-to-fin spacing ratio (d/a), fin diameter-to-fin back pitch ratio (d/b), and fin diameter-to-fin height ratio (d/h) values. These data were validated using available experimental data from open literature. The correlations of the Colburn j factor and friction f factor were determined over a wide range of Reynolds numbers as well as the geometric characteristics of the pin fins, spanning the complete operational range of Compact Heat Exchangers for Aerospace and other applications.

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Abbreviations

A c :

Cross-sectional area of flow entry (mm2)

A s :

Surface area of the fin (mm2)

a :

Fin spacing (mm)

b :

Fin back pitch (mm)

C p :

Specific heat capacity (J/kg K)

D h :

Hydraulic diameter (mm)

d :

Fin diameter (mm)

E :

Total energy (W)

f :

Friction factor (–)

H :

Heat Transfer Coefficient (W/m2 K)

h :

Pin fin height (mm)

j :

Colburn factor (–)

K :

Thermal conductivity (W/m K)

L :

Fin length (mm)

Nu :

Nusselt number (–)

P :

Pressure (Pa)

Pr :

Prandtl number (–)

Re :

Reynolds number (–)

RSM :

Reynolds stress model (–)

S :

Source term in momentum equations (–)

St :

Stanton number (–)

T in :

Intel temperature (K)

T out :

Outlet temperature (K)

T w :

Wall temperature (K)

V :

Velocity (m/s)

x :

Direction along the x-axis (–)

y :

Direction along the y-axis (–)

z :

Direction along the z-axis (–)

μ :

Dynamics viscosity (Pa s)

ρ :

Density of air (kg/m3)

τ eff :

Viscous stress (Pa)

References

  1. Kays WM and London AL 1964 Compact Heat Exchangers, 3rd ed. McGraw-Hill, New York, Chapter 10: 161–230

  2. Sheik Ismail L, Ranganayakulu C and Shah Ramesh K 2009 Numerical study of flow patterns of compact plate-fin heat exchangers and generation of design data for offset and wavy fins. Int. J. Heat Mass Transf. 52(17–18): 3972–3983

    Article  Google Scholar 

  3. Ramana Murthy K V, Ranganayakulu C and Ashok Babu T P 2015 Development of heat transfer coefficient and friction factor correlations for serrated fins in water medium using CFD. Int. J. Phys. Sci. Appl. 5(3): 238–248

    Google Scholar 

  4. Rui S, Mengmeng C and Jianjun L 2017 A Correlation for Heat Transfer and Flow Friction Characteristics of the Offset Strip Fin Heat Exchanger. Int. J. Heat Mass Transf. 115(B): 695–705

    Google Scholar 

  5. Manglik Raj M and Bergles Arthur E 1994 Heat transfer and pressure drop correlations for the rectangular offset strip fin compact heat exchanger. Fluid Sci. Exp. Therm. Fluid Sci. (Elsevier) 10(2): 171–180

    Article  Google Scholar 

  6. Joshi H M and Webb R L 1987 Heat transfer and friction in the offset strip-fin heat exchanger. Int. J. Heat Mass Transf. 30(1): 69–84

    Article  Google Scholar 

  7. Ranganayakulu C and Seetharamu K N 2018 Compact Heat Exchangers: Analysis, Design and Optimization using FEM and CFD. Wiley Publisher, UK, Chapter 5::307–384

  8. Ramisetty Bala Sundar Rao, Gurappa Ranganath and Chennu Ranganayakulu 2015 Development of Colburn j factor and fanning friction factor correlations for compact surfaces of the triangular perforated fins using CFD. Heat Transf. Eng. 37(2): 150–161

    Google Scholar 

  9. Anderson J D and Wendt J 2009 Computational Fluid Dynamics. In: Wendt John F(eds). 3rd edition, Springer, Berlin

  10. Wendt J, Bourzutschky M, Mallinckrodt A J and McKay S 1993 Computational fluid dynamics: an introduction. Comput. Phys. 7(5): 542

    Article  Google Scholar 

  11. Paturu P and Chennu R 2011 Development of heat transfer coefficient and friction factor correlations for offset fins using CFD. Int. J. Numer. Methods Heat Fluid Flow 21(8): 935–951

    Article  Google Scholar 

  12. Kedam N, Dmitry U, Blagin Evgeniy V and Gorshkalev Alexey A 2021 Heat transfer factor j and friction factor f correlations for offset strip fin and wavy fin of compact plate-fin heat-exchangers. Case Stud. Therm. Eng. Elsevier 28: 101552

    Article  Google Scholar 

  13. Miftah A, Rakesh M, Aliyu Aliyu M and Kubiak Krzysztof J 2022 Heat transfer enhancement by perforated and louvered fin heat exchangers. J. Energ. 15(2): 400

    Google Scholar 

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Acknowledgements

The Department of Mechanical Engineering at BITS, Pilani, is to be thanked for allowing the authors to take on this project work and for providing the computer resources necessary to conduct the numerical analysis.

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Authors and Affiliations

  1. Cyient Limited-Global Headquarters, Infocity, Madhapur, Hyderabad, 500081, India

    Ankur Mishra

  2. Department of Mechanical Engineering, Birla Institute of Science and Technology Pilani, Rajasthan, 333031, India

    Chennu Ranganayakulu

Authors
  1. Ankur Mishra
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  2. Chennu Ranganayakulu
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Correspondence to Chennu Ranganayakulu.

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Mishra, A., Ranganayakulu, C. Numerical analysis of generation of Colburn j and friction f factor for the pin fins of a compact heat exchanger using CFD approach. Sādhanā 49, 124 (2024). https://doi.org/10.1007/s12046-024-02447-6

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  • DOI: https://doi.org/10.1007/s12046-024-02447-6

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