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

Madialene Sene(1), Samba Dia(2*), Omar Ngor Thiam(3), Mamadou Lamine Sow(4)

(1) Fluid Mechanics and Dynamic Systems Group of the Fluid Mechanic and Application Laboratory of the Dakar University, Senegal
(2) Fluid Mechanics and Dynamic Systems Group of the Fluid Mechanic and Application Laboratory of the Dakar University, Senegal
(3) Fluid Mechanics and Dynamic Systems Group of the Fluid Mechanic and Application Laboratory of the Dakar University, Senegal
(4) Faculty of Science and Techniques at Cheikh Anta Diop of Dakar, Senegal
(*) Corresponding author


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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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