Abstract
This paper is focused on steady-state, laminar, two-dimensional natural convection in an annulus between two isothermal concentric square ducts. Stream function-vorticity formulation was applied and control volume integration solution technique is adopted in this study. Solutions are obtained up to Rayleigh number of 10 6. Three different dimension ratios, L ∗, namely 1 5 , 3 10 , and 3 5 , are considered. The effects of dimension ratio and Rayleigh number on the flow structure and heat transfer are investigated. The results show that dimension ratio and Rayleigh number have a profound influence on the temperature and flow field. As the dimension ratio is increased (decreasing the gap between squares), a multiple cell solution is developed between the upper sides of the square ducts. The transition to the multiple cell solution depends on the Rayleigh number, Ra and dimension ratio L ∗.The results of heat transfer are also presented and comparisons with earlier experimental results are made.
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