Heat and Mass Transfer

, Volume 39, Issue 4, pp 267–275 | Cite as

A three dimensional numerical study on natural convection heat transfer from short horizontal rectangular fin array

  • M. Mobedi
  • H. YüncüEmail author


Steady state natural convection heat transfer in a longitudinally short rectangular fin array on a horizontal base is numerically investigated. The problem is three dimensional laminar natural convection heat transfer with open boundaries. A finite difference code based on vorticity-vector potential approach is developed to solve the governing equations. The steady behaviour of the flow and temperature distributions is obtained from the solution of transient form of the governing equations. Results are compared with the available experimental results in the literature. A good agreement is seen between the numerical and reported experimental results. Flow configurations occurring in the channel of the fin arrays with different geometrical parameters, (fin length, fin height and fin spacing) are analysed. Based on the obtained results, two types of flow patterns are observed. The mechanisms of the flows are discussed and flow patterns are plotted to support the discussion. The study is limited to Rayleigh number based on fin spacing, ranging from 120 to 39000. The fin length and fin height are varied from 2 to 20 and 0.25 to 7-fin spacing, respectively.


Vorticity Heat Transfer Coefficient Rayleigh Number Heat Transfer Enhancement Average Nusselt Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    Starner KE, McManus HN (1967) An experimental investigation of free convection heat transfer from rectangular fin arrays. J Heat Transfer 85: 273–278Google Scholar
  2. 2.
    Harahap F, McManus HN (1967) Natural convection heat transfer from horizontal rectangular fin array. J Heat Transfer 89: 32–38Google Scholar
  3. 3.
    Jones CD, Smith LD (1970) Optimum arrangement of rectangular fins on horizontal surface for free convection heat transfer. J Heat Transfer 92: 6–10Google Scholar
  4. 4.
    Mannan KD (1970) An experimental investigation of rectangular fins on horizontal surfaces, Ph.D. Thesis. Ohio State UniversityGoogle Scholar
  5. 5.
    Sobhan CB, Venateshan SP, Seetharamu KN (1990) Experimental studies on steady free convection heat transfer from fins and fin arrays. Warme und Staffubertragung 25: 345–352Google Scholar
  6. 6.
    Sobhan CB, Venkateshan SP, Seetharamu KN (1989) Experimental analysis of unsteady free convection heat transfer from horizontal fin arrays. Warme und Staffubertragung 24: 155–160Google Scholar
  7. 7.
    Sane NK, Sukhatme SP (1974) Natural convection heat transfer from horizontal rectangular fin arrays. 5th International Heat Transfer Conf 3: 114–118Google Scholar
  8. 8.
    Mobedi M, Yüncü H, Yücel B (1994) A three dimensional numerical study on natural convection heat transfer from rectangular horizontal fin array. In: Kakaç S, Yüncü H, Hijikata K (eds) NATO ASI series, Kluwer Academic Publisher. Netherlands Cooling of electronic equipment's, pp 189–202Google Scholar
  9. 9.
    Aziz K, Hellums JD (1967) Numerical solution of three dimensional equations of motion for laminar natural convection flows. Physics of Fluid 10: 314–324Google Scholar
  10. 10.
    Hirasaki GJ, Hellums JD (1968) A general formulation of boundary condition on the vector potential in three dimension hydrodynamics. Q App Math 26: 331–342Google Scholar
  11. 11.
    Brain PLT (1961) A finite difference method of high order accuracy for the solution of three dimensional transient heat conduction problems. A.I.Ch.E.J. 7: 367–370Google Scholar
  12. 12.
    Mobedi M (1994) A three dimensional numerical heat transfer from rectangular fins on a horizontal surface, Ph.D. Thesis. Middle East Technical University, TurkeyGoogle Scholar

Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  1. 1.Mechanical Engineering Department, Middle East Technical University, 06531 Ankara, Turkey

Personalised recommendations