TITLE: The shape of a candle flame
QUESTION [9 upvotes]: 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.

REPLY [2 votes]: I Googled "Heat equation applied to a burning candle" and found
Analysis of Burning Candle