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Analysis of natural convection heat transfer through staggered pin finned horizontal base plate within a rectangular enclosure

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Abstract

An experimental study of natural convection heat transfer from heat staggered Pin fin array within air filled rectangular enclosure has been performed experimentally. It has been done to analyze the effects of several inducing parameters on system performance. The study has been done at wide ranges of influencing parameters such as Rayleigh number (328,042 ≤ Ra ≤ 794,323) and fin spacing (25 mm ≤ S ≤ 100 mm) and at a given fin height (L = 25 mm). The present study reported that the average Nusselt number (Nu) always increases by increasing Ra. While, by decreasing in fin spacing Nu increases initially up to an extreme value then tends to decrease. The fin effectiveness decreases continuously by increasing in Rayleigh number. It has been found that by decreasing in fin spacing, fin effectiveness increases initially up to a maximum value, beyond which it tends to decrease with further decrease in fin spacing. The correlations are developed for Nu as a function of dimensionless number (S/H) and Rayleigh numbers (Ra) and verified with experimental data.

Nomenclature

A

Effective surface area available for heat transfer [m2]

a

Length of the enclosure [m]

b

Enclosure width [m]

g

Acceleration due to gravity [ms−2]

H

Height of the enclosure [m]

h

Averageconvectionheattransfercoefficient[W/m2.K]

K

Thermal conductivity [W/m.K]

L

Fin height [m]

Nu

Nusselt number [−]

Pr

Prandtl number [−]

Q

Heat transfer rate [W]

Ra

Rayleigh number [−]

R

Resistance of the heat source [ohms]

S

Fin spacing [m]

T

Temperature [K]

T′

Plate thickness [m]

Ta

Ambient temperature [K]

Tc

Average temperature of the enclosure top surface [K]

Th

Average temperature of the heated finned plate [K]

Tf

Film temperature [K]

V

Voltage supplied [V]

x

Thickness [m]

Greek letters

εfin

Fin effectiveness [−]

ε'

Equivalent emissivity

β

Coefficient of volume expansion [K−-1]

ν

Kinematic viscosity of air fluid [m2/s]

σ

Stefan Boltzmann constant [W/m2.K4]

f*

Equivalent view factor of finned plate [−]

Subscripts

a

Air

b

Bare surface

cd

Conduction

cv

Convection

f

Finned surface

opt

Optimum

rd

Radition

wl

Glass wall

References

  1. 1.
    Starner KE, HN MM (1963) An experimental investigations of free convection heat transfer from rectangular fin-arrays. J Heat Transf 85:273–278CrossRefGoogle Scholar
  2. 2.
    Welling JR, Wooldridge CB (1965) Free convection heat transfer coefficient from rectangular vertical fins. J Heat Transf 87:439–444CrossRefGoogle Scholar
  3. 3.
    Jones CD, Smith LF (1970) Optimum arrangement of rectangular fins on horizontal surfaces for free convection heat transfer. J Heat Transf 92:6–10CrossRefGoogle Scholar
  4. 4.
    Harahap F, McManus HN (1976) Natural convection of heat transfer from horizontal rectangular fin arrays. J Heat Transf 89:32–38CrossRefGoogle Scholar
  5. 5.
    Bar-Cohen A (1979) Fin thickness for an optimized natural convection array of rectangular fins. J Heat Transf 101:564–566CrossRefGoogle Scholar
  6. 6.
    Sparrow EM, Prakash C (1980) Enhancement of natural convection heat transfers by a staggered array of discrete vertical plates. J Heat Transf 102:215–220CrossRefGoogle Scholar
  7. 7.
    Rammohan RV, Venkateshan SP (1996) Experimental study of free convection and radiation in horizontal fin array. Int J Heat Mass Transf 39:779–789CrossRefGoogle Scholar
  8. 8.
    Yuncu H, Anbar G (1998) An experimental investigation on performance of rectangular fins on a horizontal base in free convection heat transfer. Heat Mass Transf 33:507–514CrossRefGoogle Scholar
  9. 9.
    Guvenc A, Yuncu H (2011) An experimental investigation on performance of rectangular fins on a vertical base in free convection heat transfer. Heat Mass Transf 37:409–416Google Scholar
  10. 10.
    Vollaro AL, Grignaffini S, Gugliermetti F (1999) Optimum design of vertical rectangular fin arrays. Int J Therm Sci 38:525–529CrossRefGoogle Scholar
  11. 11.
    Baskaya S, Sivrioglu M, Ozek M (2000) Parametric study of natural convection heat transfer from horizontal rectangular fin arrays. Int J Therm Sci 39:796–805CrossRefGoogle Scholar
  12. 12.
    Xin S, Le Quéré P (2006) Natural-convection flows in air filled, differentially heated cavities with adiabatic numerical. Heat Transfer Part A 50:437–466CrossRefGoogle Scholar
  13. 13.
    Corcione M (2003) Effects of the Thermal Boundary Conditions at the side walls upon Natural Convection in Rectangular Enclosures Heated from below and Cooled from above. Int J Thermal Sciences 42:199–208CrossRefGoogle Scholar
  14. 14.
    Nada SA (2007) Natural Convection Heat Transfer in Horizontal and Vertical Closed Narrow Enclosures with Heated Rectangular Finned Base Plate. Int J Heat Mass Transf 50:667–679CrossRefMATHGoogle Scholar
  15. 15.
    Tamayol A, McGregor F, Demian E, Trandafir E, et al (2011) Assessment of thermal performance of electronic enclosures with rectangular fins: a passive thermal solution. Proceedings of ASME 2011 Pacific Rim Technical Conference & Exposition on Packaging and Integration of Electronic and Photonic Systems, InterPACK2011, Portland, Oregon 1–8Google Scholar
  16. 16.
    Al-Jamal K, Khashashneh H (1998) Experimental investigation in heat transfer of triangular and pin fin arrays. Heat Mass Transf 34:159–162.  https://doi.org/10.1007/s002310050244 CrossRefGoogle Scholar
  17. 17.
    Aihara T, Maruyama S, Kobayakawa S (1990) Free convective/ radiative heat transfer from pin fin arrays with a vertical base plate (General Representation of Heat Transfer). Int J Heat Mass Transf 33:1223–1232CrossRefGoogle Scholar
  18. 18.
    Sara ON (2003) Performance Analysis of Rectangular Ducts with Staggered Square Pin Fins. Energy Convers Manag 44:1787–1803CrossRefGoogle Scholar
  19. 19.
    Zografos AI, Sunderland JE (1990) Natural Convection from Pin Fin Arrays. Exp Thermal Fluid Sci 3:440–449CrossRefGoogle Scholar
  20. 20.
    Huang RT, Sheu WJ, Wang CC (2008) Orientation Effect on Natural Convective Performance of Square Pin Fin Heat Sinks. Int J Heat Mass Transf 51:2368–2376CrossRefGoogle Scholar
  21. 21.
    Sparrow EM, Vemuri SB (1986) Orientation Effects on Natural Convection/Radiation Heat Transfer from Pin-Fin Arrays. Int J Heat Mass Transf 29:359–368CrossRefGoogle Scholar
  22. 22.
    Sertkaya AA, Bilir S, Kargici S (2011) Experimental Investigation of the Effects of Orientation Angle on Heat Transfer Performance of Pin-Finned Surfaces in Natural Convection. Energy 36:1513–1151CrossRefGoogle Scholar
  23. 23.
    Mukutmoni D, Yang KT (1993) Rayleigh–Be’nard convection in a small aspect ratio enclosure, Part I: Bifurcation to oscillatory convection. J Heat Transf 115:360–366CrossRefGoogle Scholar
  24. 24.
    Mukutmoni D, Yang KT (1993) Rayleigh–Be’nard convection in a small aspect ratio enclosure, Part II: Bifurcation to chaos. J Heat Transf 115:367–376CrossRefGoogle Scholar
  25. 25.
    Mukutmoni D, Yang KT (1995) Thermal convection in a small enclosure: A typical bifurcation sequence. Int J Heat Mass Transf 38:113–126CrossRefMATHGoogle Scholar
  26. 26.
    Ellison N (1979) Gordon and Tektronix, Generalized Computations of the Gray Body Shape Factor for Thermal Radiation from a Rectangular U-Channel. IEEE Transactions on Components, Hybrids, and Manufacturing Technology 2(4):517–522CrossRefGoogle Scholar
  27. 27.
    Holman JP (1989) Experimental methods for engineers, 4th edn. McGraw-Hill, Singapore, pp 63–65Google Scholar
  28. 28.
    Cengel AY, Ghajar JA (2011) Heat and mass transfer: fundamentals and applications. 4th edn. McGraw-Hill, pp 171–173Google Scholar
  29. 29.
    Arquis E, Rady M (2005) Study of natural convection heat transfer in a horizontal fluid layer. Int J of thermal science 44:43–52CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringGGI LucknowLucknowIndia
  2. 2.Department of Mechanical EngineeringN.I.T. HamirpurHamirpurIndia

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