Skip to main content
SpringerLink
Log in

Natural convection experiments on the outer surface of an inclined helical coil

  • Original
  • Published:
Heat and Mass Transfer Aims and scope Submit manuscript

Abstract

Natural convection heat transfer on the outside of an inclined helical coil was investigated experimentally. For a single turn helical coil laid on the horizontal plane, the heat transfer rate was very close to that of a horizontal cylinder. The heat transfer rate decreased when the coil was tilted. For inclined helical coils with higher numbers of turns, the heat transfer rates were influenced by plumes from the lower turns, exhibiting preheating, velocity, and chimney effects. For very small pitches, the preheating effect was dominant. For moderate pitches, the velocity and chimney effects became dominant. For larger pitches, the plume effect disappeared. The angle of inclination affects the physical arrangement of the helical coil and influences the heat transfer. The study was performed using very high Pr of 2014. An empirical correlation was proposed based on the experiments.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

Abbreviations

C b :

Cupric ion concentration in the bulk (mol/m3)

D :

Diameter of the helical coil (m)

D m :

Mass diffusivity (m2/s)

F :

Faraday constant, 96,485 (C/mol)

g :

Gravitational acceleration, 9.8 (m/s2)

H :

Height of the helical coil (m)

h h :

Heat transfer coefficient (W/m2K)

h m :

Mass transfer coefficient (m/s)

I lim :

Limiting current (A)

k :

Thermal conductivity (W/mK)

L :

Total length of the helical coil (m)

N :

Number of turns of the helical coil

n :

Number of electrons in charge transfer reaction

Nu D :

Nusselt number based on the diameter (hhD/k)

P :

Pitch of the helical coil (m)

Pr :

Prandtl number (ν/α)

R :

Winding radius of the helical coil (m)

Ra D :

Rayleigh number based on the diameter (gβΔTD3/αν)

Sh D :

Sherwood number based on the diameter (hmD/Dm)

T :

Temperature (K)

t n :

Transference number

U x :

Uncertainty of x

α :

Thermal diffusivity (m2/s)

β :

Volume expansion coefficient (1/K)

γ :

Dispersion coefficient

θ :

Angular position of cylinder (°)

μ :

Viscosity (kg/m s)

ν :

Kinematic viscosity (m2/s)

ρ :

Density (kg/m3)

References

  1. Xin RC, Ebadian MA (1996) Natural convection heat transfer from helicoidal pipes. J Thermophys Heat Transf 10:297–302

    Article  Google Scholar 

  2. Prabhanjan DG, Rennie TJ, Raghavan GSV (2004) Natural convection heat transfer from helical coiled tubes. Int J Therm Sci 43:359–365

    Article  Google Scholar 

  3. Moawed M (2005) Experimental investigation of natural convection from vertical and horizontal helicoidal pipes in HVAC applications. Energ Convers Manage 46:2996–3013

    Article  Google Scholar 

  4. Ali ME (1994) Experimental investigation of natural convection from vertical helical coiled tubes. Int J Heat Mass Transf 37:665–671

    Article  Google Scholar 

  5. Ali ME (2004) Free convection heat transfer from the outer surface of vertically oriented helical coils in glycerol–water solution. Heat Mass Transf 40:615–620

    Google Scholar 

  6. Ali ME (2006) Natural convection heat transfer from vertical helical coils in oil. Heat Transf Eng 27:79–85

    Article  Google Scholar 

  7. Heo JH, Chung BJ (2012) Influence of helical tube dimensions on open channel natural convection heat transfer. Int J Heat Mass Transf 55:2829–2834

    Article  Google Scholar 

  8. Heo JH, Chae MS, Chung BJ (2013) Influences of vertical and horizontal pitches on the natural convection of two staggered cylinders. Int J Heat Mass Transf 57:1–8

    Article  Google Scholar 

  9. Sparrow EM, Boessneck DS (1983) Effect of transverse misalignment on natural convection from a pair of parallel, vertically stacked, horizontal cylinders. J Heat Transf 105:241–247

    Article  Google Scholar 

  10. Corcione M, Cianfrini C, Habib E, Giudice GML (2008) Correlating equations for laminar free convection from misaligned horizontal cylinders in interacting flow fields. J Heat Transf 130:1–11

    Article  Google Scholar 

  11. Bejan A (1995) Convection heat transfer, 2nd ed. Wiley, New York

  12. Ko SH, Moon DW, Chung BJ (2006) Applications of electroplating method for heat transfer studies using analogy concept. Nucl Eng Technol 38:251–258

    Google Scholar 

  13. Levich VG (1962) Physicochemical hydrodynamics. Prentice-Hall, Englewood Cliffs

    Google Scholar 

  14. Selman JR, Tobias CW (1978) Mass transfer measurement by the limiting current technique. Adv Chem Eng 10:211–318

    Article  Google Scholar 

  15. Fenech EJ, Tobias CW (1960) Mass transfer by free convection at horizontal electrodes. Electrochim Acta 2:311–325

    Article  Google Scholar 

  16. Chae MS, Chung BJ (2011) The effect of pitch-to-diameter on natural convection heat transfer of two vertically aligned horizontal cylinders. Chem Eng Sci 66:5321–5329

    Article  Google Scholar 

  17. Chung BJ, Eoh JH, Heo JH (2011) Visualization of turbulent natural convection on a horizontal cylinder. Heat Mass Transf 47:1445–1452

    Article  Google Scholar 

  18. Heo JH, Chung BJ (2012) Natural convection heat transfer on the outer surface of inclined cylinders. Chem Eng Sci 73:366–372

    Article  Google Scholar 

  19. Merk HL, Prins JA (1954) Thermal convection in laminar boundary layers II. Appl Sci Res 4:195–206

    MathSciNet  Google Scholar 

  20. LeFevre EJ (1956) Laminar free convection from a vertical plane surface. 9th Int Congr Appl Mech Brussels 4:1–168

    MathSciNet  Google Scholar 

  21. Steele WG, Coleman HW (1999) Experimental and uncertainty analysis for engineers, 2nd edn. Wiley, Canada

    Google Scholar 

  22. Kang GU, Chung BJ (2010) The experimental study on transition criteria of natural convection inside a vertical pipe. Int Comm Heat Mass Transf 37:1057–1063

    Article  Google Scholar 

Download references

Acknowledgments

This study was sponsored by the Ministry of Science, ICT & Future Planning (MSIP) and was supported by Nuclear Research & Development program grant funded by the National Research Foundation (NRF) (Grant code: 2014M2A8A1030777).

Author information

Authors and Affiliations

  1. Department of Nuclear Engineering, Kyung Hee University, #1732 Deokyoung-daero, Giheung-gu, Yongin-si, Gyeonggi-do, 446-701, Korea

    Je-Young Moon, Jeong-Hwan Heo & Bum-Jin Chung

Authors
  1. Je-Young Moon
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jeong-Hwan Heo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bum-Jin Chung
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bum-Jin Chung.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Moon, JY., Heo, JH. & Chung, BJ. Natural convection experiments on the outer surface of an inclined helical coil. Heat Mass Transfer 51, 1229–1236 (2015). https://doi.org/10.1007/s00231-015-1495-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00231-015-1495-5

Keywords

Search

Navigation