الفهرس 
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Abstract
In the present study, transient natural convection in an inclined enclosure containing internal heat source is numerically investigated. Two types of heating are studied, the uniformly distributed heat source and concentrated heat source. In case of concentrated heat source; single, two or three points and along both parallel and normal lines corresponding to the enclosure base are considered. The two dimensional governing equations of free convective flow consist of continuity, momentum and energy equations in the Cartesian coordinates. These flow describing equations are put in dimensionless form by introducing appropriate dimensionless independent and dependent variables. The dimensionless form of the governing equations are solved numerically using the finite divided difference technique. In this technique, the partial differential form of the governing equations are transformed to a set of linear algebraic equations. Solving this set of equations, the temperature distribution and the hydrodynamic flow field in the enclosure are predicted and accordingly , the local Nusselt number can be calculated. The derived proposed model is used to study the effect of the problem parameters (inclination angle, Rayleigh number, aspect ratio and time) on both isotherms and flow patterns. The thermal field and the corresponding hydrodynamic flow field are presented for different values of the previously mentioned parameters. Local Nusselt nmuber at the enclosure walls is evaluated for three conditions of heating. In the first case, the heat source is uniformly distributed and the enclosure has an inclination angle of 15. The second one, is the case of concentrated heat source along line parallel to the base with inclination angle of 15. For the last heating condition, the heat source is concentrated along a line parallel to the left wall of the enclosure and with inclination angle of 30.