KSME International Journal

, Volume 18, Issue 2, pp 294–301 | Cite as

Study on natural convection in a rectangular enclosure with a heating source

  • Kang-Youl Bae
  • Hyo-Min Jeong
  • Han-Shik Chung
Thermal Engineering · Fluid Engineering · Energy and Power Engineering


The natural convective heat transfer in a rectangular enclosure with a heating source has been studied by experiment and numerical analysis. The governing equations were solved by a finite volume method, a SIMPLE algorithm was adopted to solve a pressure term. The parameters for the numerical study are positions and surface temperatures of a heating source i.e., Y/H=0.25, 0.5, 0.75 and 11°C≦ΔT≦59°C. The results of isotherms and velocity vectors have been represented, and the numerical results showed a good agreement with experimental values. Based on the numerical results, the mean Nusselt number of the rectangular enclosure wall could be expressed as a function of Grashof number.

Key Words

Heating source Low Reynolds Number Turbulence Model Nusselt Number Grashof Number 



Grid space regulation coefficient


Gravity acceleration [m/s2]


Grashof number\(\left( {G_r = \frac{{g\beta (T_h - T_c ) H^3 }}{{\nu ^2 }}} \right)\)


Vertical wall length [m]


Turbulent energy [m2/s2]


Horizontal wall length [m]


Local Nusselt number\(\left( {Nu = \left. {\frac{{hL}}{k} = \frac{{\partial \theta }}{{\partial X}}} \right|_{X = 0} } \right)\)

\(\overline {Nu} \)

Mean Nusselt number\(\left( {\overline {Nu} = \frac{1}{L}\int {Nu \cdot dy} } \right)\)


Prandtl number


Temperature [°C]


Heating source temperature [°C]


Cooled wall temperature [°C]


Temperature difference [°C]


X direction velocity [m/s]


Y direction velocity [m/s]


Thermal expansion coefficient [K−1]


Kronecker delta


Turbulent energy dissipation rate


Turbulent eddy viscosity [kg/ms]


Density [kg/m3]


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Copyright information

© The Korean Society of Mechanical Engineers (KSME) 2004

Authors and Affiliations

  1. 1.School of Mechanical & Aerospace Engineering, Institute of Marine IndustryGyeongsang National UniversityGyeongnamKorea

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