Abstract
Steady two-dimensional natural convection around a heated finite flat plate oriented at an arbitrary angle, α, with respect to the gravity force is formulated in terms of an elliptic coordinate system. The method of spectral series expansion is used to reduce the governing coupled partial differential equations to three sets of second-order ordinary differential equations. These equations are truncated and then numerically integrated by the finite-element method of collocation. The effect of boundary conditions on the outer boundary of the computational field is discussed. The flows for Ra = 1000.0, Pr = 0.7 and α = 0,2, 45, and 90 degrees are analyzed using illustrations of fluid flow patterns, graphs of surface vorticity and local Nusselt number, and contour plots of isotherms.
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