Numerical Study of the Steady Natural Convection Inside an Enclosure delimited by a Cylindrical Parabolas and a Plane Surface: Influence of the Slope Angle


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Abstract


Effects of slope angle ϕ on the steady natural convection inside a two dimensional enclosure delimited by portions of cylindrical parabolas have been analyzed numerically. The Rayleigh number and the slope angle are used as control parameters for flow and heat transfer. ϕ was varied from 0 to π, for two Rayleigh numbers: 104 and 105. The governing equations are solved by a Polynomial Differential Quadrature method (PDQ). The algebraic systems of discretized equations are solved by a Successive Over Relaxation method (SOR). The results showed that if the transition from a pseudo-conductive regime to a convective one is not affected by ϕ, the thermal and dynamical fields  are very different according to the values of ϕ.
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Keywords


Slope Angle; Parabolas; PDQ; Convection; Heat Transfer

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