Abstract
A three-dimensional numerical study was made to investigate effects of fin angle, fin surface emissivity, and tube wall temperature on heat transfer enhancement for a longitudinal externally-finned tube placed vertically in a small chamber. The numerical model was first validated through comparison with experimental measurements and the appropriateness of general boundary conditions was examined. The numerical results show that the mean Nusselt number increases with Rayleigh number for all the fin angles investigated. The maximum heat transfer rate per mass occurs when the fin angle is about 60° for fin surface emissivity between 0.7 and 0.8 and 55° when the surface emissivity increases to 0.9. With increasing tube wall temperature, both the natural convection and radiation heat transfer are enhanced, but the fraction of radiation heat transfer decreases in the temperature range studied. Radiation fraction increases with increasing fin surface emissivity. Both convection and radiation heat transfer modes are important.
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Abbreviations
- A :
-
Total surface area
- C p :
-
Specific heat capacity (J kg−1 K−1)
- D :
-
Outer diameter of base pipe (mm)
- g :
-
Gravity acceleration vector
- H :
-
Height of base tube (mm)
- Nu :
-
Nusselt number
- L :
-
Fin length (mm)
- Q c :
-
Total convective heat rate (W)
- P :
-
Pressure (Pa)
- Ra :
-
Rayleigh number
- S1 :
-
Thickness of base tube (mm)
- S2 :
-
Fin thickness (mm)
- T :
-
Temperature (K)
- ∆T :
-
Temperature difference (K)
- V :
-
Velocity vector
- h :
-
Heat transfer coefficient (W m−2 K−1)
- α:
-
Thermal diffusivity (m2 s−1)
- ε:
-
Surface emissivity
- ρ:
-
Density (kg m−3)
- υ:
-
Kinematic viscosity (m2 s−1)
- β:
-
Thermal expansion coefficient (K−1)
- λ:
-
Thermal conductivity (W m−2 K−1)
- ∞:
-
Infinity or at ambient environment
- w :
-
Tube wall
References
Yu B, Nie JH, Wang QW, Tao WQ (1999) Experimental study on the pressure drop and heat transfer characteristics of tubes with internal wave-like longitudinal fins. Heat Mass Transf 35:65–73
Yu B, Tao WQ (2004) Pressure drop and heat transfer of turbulent flow in annular tubes with internal wave-like longitudinal fins. Heat Mass Transf 40:643–651
Wang QW, Lin M, Zeng M (2009) Effect of lateral fin profiles on turbulent flow and heat transfer performance of internally finned tubes. Appl Therm Eng 29(14/15):3006–3013
Wang QW, Lin M, Zeng M, Tian L (2008) Computational analysis of heat transfer and pressure drop performance for internally finned tube with three different longitudinal fins. Heat Mass Transf 45:147–156
Zhang JW, Zhang Z (1999) A numerical study on fully developed fluid flow and heat transfer in a spiral finned tube. Chin J Chem Eng 7(1):56–66
Fabbri G (1998) Heat transfer optimization in internally finned tubes under laminar flow conditions. Int J Heat Mass Transf 41(10):1243–1253
Krupiczka R, Rotegel A, Walczyk H, Dobner L (2003) An experimental study of convective heat transfer from extruded type helical finned tubes. Chem Eng Process 42(1):29–38
Qiu XQ, Li HY, Chen YZ, Guo QX (2001) Experimental research on the heat transfer and flowing resistance of the longitudinal finned tube. China Pet Mach 29(3):8–10 (in Chinese)
Wu JM, Tao WQ (2007) Numerical computation of laminar natural convection heat transfer around a horizontal compound tube with external longitudinal fins. Heat Transf Eng 28(2):93–102
Sun FZ, Zhang MY, Huang XY, Shi YT, Dong XG (2002) Experimental study of enhanced heat transfer with Ni-based impacted longitudinal finned tubes. J Hydrodyn 17(4):467–471 (in Chinese)
Ouzzane M, Galanis N (2001) Numerical analysis of mixed convection in inclined tubes with external longitudinal fins. Sol Energy 71(3):199–211
Kumar R (1997) Three-dimensional natural convective flow in a vertical annulus with longitudinal fins. Int J Heat Mass Transf 40(14):3323–3334
Braga CV, Saboya FEM (1999) Turbulent heat transfer, pressure drop and fin efficiency in annular regions with continuous longitudinal rectangular fins. Exp Therm Fluid Sci 20:55–65
Wang CC, Chang JY, Chiou NF (1999) Effects of waffle height on the airside performance of wavy fin-and-tube heat exchangers. Heat Transf Eng 20(3):45–56
Lozza G, Merlo U (2001) An experimental investigation of heat transfer and friction losses of interrupted and wavy fins for fin-and-tube heat exchangers. Int J Refrig 24:409–416
Wang CC, Fu WL, Chang CT (1997) Heat transfer and friction characteristics of typical wavy fin-and-tube heat exchangers. Exp Therm Fluid Sci 14:174–186
Kayansayan N (1993) Heat transfer characteristics of flat plain fins and round tube heat exchangers. Exp Therm Fluid Sci 6:263–272
Qu ZG, He YL, Tao WQ (2003) 3D numerical simulation on heat transfer performance of slit surfaces and analysis with field synergy principle. J Eng Thermophys 24(5):825–827
Ugur A, Kadir B (2006) Heat transfer and thermal performance analysis of a surface with hollow rectangular fins. Appl Therm Eng 26(2/3):209–216
Bayram S, Alparslan D (2008) Performance analysis of a heat exchanger having perforated square fins. Appl Therm Eng 28(5/6):621–632
Wang CC, Tao WH, Chang CJ (1999) An investigation of the airside performance of the slit fin-and-tube heat exchangers. Int J Refrig 22(8):595–603
Yun JY, Lee KS (1999) Investigation of heat transfer characteristics on various kinds of fin-and-tube heat exchangers with interrupted surfaces. Int J Heat Mass Transf 42(13):2375–2385
Tanda G (2004) Heat transfer in rectangular channels with transverse and V-shaped broken ribs. Int J Heat Mass Transf 47(2):229–243
Gao X, Sundén B (2001) Heat transfer distribution in rectangular ducts with V-shaped ribs. Heat Mass Transf 37:315–320
Wu JM, Tao WQ (2008) Numerical study on laminar convection heat transfer in a rectangular channel with longitudinal vortex generator. Part A: verification of field synergy principle. Int J Heat Mass Transf 51(5/6):1179–1191
Chung JD, Park BK, Lee JS (2003) The combined effects of angle of attack and louver angle of a winglet pair on heat transfer enhancement. J Enhanc Heat Transf 10(1):31–43
Chen Y, Fiebig M, Mitra NY (2000) Heat transfer enhancement of finned oval tubes with staggered punched longitudinal vortex generators. Int J Heat Mass Transf 43(3):417–435
Acknowledgments
Support from the National Basic Research of China (973 program) (2007CB206900) are greatly appreciated. Authors are grateful for the support of the Chinese Scholarship Council to Dr. Y. Qiu, as a visiting scholar at Rutgers University from April 2011 to April 2012.
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Qiu, Y., Tian, M. & Guo, Z. Natural convection and radiation heat transfer of an externally-finned tube vertically placed in a chamber. Heat Mass Transfer 49, 405–412 (2013). https://doi.org/10.1007/s00231-012-1077-8
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DOI: https://doi.org/10.1007/s00231-012-1077-8