Numerical analysis of the effect of radiation on laminar steady natural convection in a two-dimensional participating medium between two horizontal confocal elliptical cylinders
- Univ. de Perpignan (France). Lab. de Thermodynanique et Energetique
Over the last two decades, natural convection in horizontal annular spaces has been studied extensively because of its numerous industrial applications, namely, nuclear reactor design, cooling of electronic equipment, study of pressurized-gas underground electric transmission cables, and solar systems. Compound parabolic collectors involve convection heat transfer in the space between the receive envelope and the surface formed by the cover and the reflector. Here, combined radiation and natural convection in a participating medium between two horizontal confocal elliptical cylinders is investigated numerically. The equations of steady, laminar two-dimensional natural convection are written by using an elliptic-cylinder coordinates system, the stream function, and the vorticity. The finite volume radiation solution method and the control volume technique are used to discretize the coupled equations of momentum, energy, and radiative transfer. Numerical solutions are obtained for Rayleigh numbers in the range 10{sup 4} to 2 {times} 10{sup 5} and the radiation-conduction parameter ranging from 0 to {infinity}. The special case corresponding to the convective flow within the annulus formed by an elliptical cylinder surrounding a flat plate is also considered.
- OSTI ID:
- 357702
- Journal Information:
- Numerical Heat Transfer. Part A, Applications, Vol. 35, Issue 5; Other Information: PBD: Apr 1999
- Country of Publication:
- United States
- Language:
- English
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