Has anyone worked out a physically justified equation (perhaps parametrized) for the characteristic (2D outline) shape of a candle flame? Just one half suffices, as it is clearly symmetric about a vertical (in the absence of wind).
(Image from this link.)
Motivation: To make realistic candle flames in computer graphics. We recognize the shape when we see it. And when it is not quite right, we notice the discrepancy. I want to get it right.
I Googled "Heat equation applied to a burning candle" and found
Analysis of Burning Candle