Sattar J. Habeeb
Abstract
In this paper, a numerical study of the effect of a hot square cylinder placed on acooled elliptical enclosure of a laminar natural convection was carried out. This problemis solved ...
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In this paper, a numerical study of the effect of a hot square cylinder placed on acooled elliptical enclosure of a laminar natural convection was carried out. This problemis solved by using the partial differential equations, which are the stream vorticityformulation for the flow and heat transfer in curvilinear coordinates. An ellipticalfunction is used, which makes the coordinate transformation from the physical domainto the computational domain be set up by an analytical expression. About 48 tests areperformed for different ratios of the geometry such as, a /b =1.5,2.,3 , l /b = 0.25,0.5 ,and Rayleigh number from 103 to 106, for two position of the major axis of the ellipticalenclosure, horizontal (HEE) and vertical (VEE). The results obtained in the form ofvelocity vectors, streamlines, isotherms, and Nusselt number. The results show that, theincrease of the major axis of the enclosure ( a /b ratio) leads to increase the averageNusselt number and decrease the flow strength for all Rayleigh numbers. Moreover, forRa≤104, there are a little difference in the results of ave Nu for all a / b and l / b ratios,but if Ra increases, the change in the results is clear and large.
