1. Constructal design of elliptic tubes cooled by natural convection.
- Author
-
Mustafa, Ahmed Waheed and Zahi, Jaafar Ahmed
- Subjects
- *
FREE convection , *CONSTRUCTAL theory , *HEAT transfer , *RAYLEIGH number , *FINITE element method - Abstract
The optimal spacing between elliptic tubes cooled by free convection is studied experimentally and numerically. A row of isothermal elliptic tubes are installed in a fixed volume and the spacing between them is selected according to the constructal theory (Bejan's theory). In this theory the spacing between the tubes is chosen such that the heat transfer density is maximized. A finite volume method is employed to solve the governing equations; SIMPLE algorithm with collocated grid is utilized for coupling between velocity and pressure. For the numerical study, the range of Rayleigh number is (103 ≤ Ra ≤ 105), the range of the axis ratio of the tubes is (0 ≤ ϵ ≤ 0.5), and the working fluid is air (Pr =0.71). Eexperimental study is also carried out in order to demonstrate the existence of the optimal spacing. The experimental Rayleigh number is (3.5x104 ) and the axis ratio of the elliptic tube is .The numerical results show that the optimal spacing decreases as Rayleigh number increases for all axis ratios, and the maximum density of heat transfer increases as the Raleigh number increases for all axis ratios and the highest value occurs at axis ratio (ϵ =0) (flat plate) while the lowest value occurs at (ϵ =0.5) (circular tube). The results also show that the optimal spacing is unchanged with the axis ratio at constant Rayleigh number. The agreement between the experimental and numerical heat transfer density is qualitative. [ABSTRACT FROM AUTHOR]
- Published
- 2017