Abstract
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.
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Abbreviations
- a:
-
Grid space regulation coefficient
- g:
-
Gravity acceleration [m/s2]
- Gr:
-
Grashof number\(\left( {G_r = \frac{{g\beta (T_h - T_c ) H^3 }}{{\nu ^2 }}} \right)\)
- H:
-
Vertical wall length [m]
- K :
-
Turbulent energy [m2/s2]
- L:
-
Horizontal wall length [m]
- Nu:
-
Local Nusselt number\(\left( {Nu = \left. {\frac{{hL}}{k} = \frac{{\partial \theta }}{{\partial X}}} \right|_{X = 0} } \right)\)
- \(\overline {Nu} \) :
-
Mean Nusselt number\(\left( {\overline {Nu} = \frac{1}{L}\int {Nu \cdot dy} } \right)\)
- Pr:
-
Prandtl number
- T:
-
Temperature [°C]
- Th :
-
Heating source temperature [°C]
- Tc :
-
Cooled wall temperature [°C]
- ΔT:
-
Temperature difference [°C]
- U:
-
X direction velocity [m/s]
- V:
-
Y direction velocity [m/s]
- β:
-
Thermal expansion coefficient [K−1]
- δ ij :
-
Kronecker delta
- ε:
-
Turbulent energy dissipation rate
- μ t :
-
Turbulent eddy viscosity [kg/ms]
- ρ:
-
Density [kg/m3]
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Bae, KY., Jeong, HM. & Chung, HS. Study on natural convection in a rectangular enclosure with a heating source. KSME International Journal 18, 294–301 (2004). https://doi.org/10.1007/BF03184739
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DOI: https://doi.org/10.1007/BF03184739