Abstract
The buoyancy induced convection arising from a point heat source in a fluid saturated Darcy porous medium bounded by an adiabatic conical surface, of apex angle 2 θ ω , has been studied. The point heat source is located at the apex and the axis of the conical surface coincides with the direction of bouyant force vector. The self-similar equations are obtained for 0 < θ ω < π and Rayleigh number Ra from zero to infinity. The numerical solutions of self-similar equations have been obtained for θ ω (free plume), 3π,/4, π/2 (plume bounded by horizontal surface), and π/4. It is shown that for a given Ra, the centre line velocity and temperature increases as π ω (the bounding space) decreases. A perturbation solution for Ra → 0 also been studied to present closed form solution.
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