Numerical analysis of steady natural convection of water in inclined square enclosure with internal heat generation

Laminar natural convection in a two-dimensional inclined square enclosure has been numerically studied using finite volume method. The research deals with the investigation of the effect of Prandtl number and inclination angle on the stream contours and isotherms in this enclosure where the left side wall is maintained at isothermal hot temperature, while the opposite side wall is maintained at isothermal cold temperature. The other top and bottom walls are considered thermally insulated. The enclosure in the present work is based on the geometry of Tofiqul Islam et al. [9], (2007) which is considered inclined with inclination angles ranging from 0° to 30° and filled with water as a working fluid where its Prandtl number is taken as 6. All the numerical calculations are performed at the external Rayleigh numbers 10³ and 10⁶ while the internal Rayleigh numbers ranging from 10⁵ to 10⁸. The results are presented as a streamline and isotherm plots as well as the variation of the average Nusselt numbers at the hot wall are also presented. The results show a good confidence with other published results.