How would the shape and size of a flame, e.g. from a simple candle depend on gravity? Suppose all the relevant information is known, including candle dimensions and chemical composition, atmosphere properties (chemical composition, pressure etc.), and anything else.
Answer
After some searches I found this little paper. I will give only a short answer to the question, for details you can read the paper.
So, according to the results obtained for the model in the paper:
the flame length:
- increases as the gravity level increases from $0g_e$ to $3g_e$
- decreases from $3g_e$ to $60g_e$
- and blows off at higher gravity levels
the maximum width of the flame decreases as the gravity level increases.
In the next figure can be observed the evolution of the flame from $0g_e$ to $5g_e$. 
However, if the top surface of the wick is made inert, the model predicts that the flame blows off at $6g_e$.
$g_e$ - gravity at the level of Earth surface.
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