Have A Heart, While It's Hot

The following is a plot of

$g^2_{net}=g^2_Tsin^2(\theta)+(g_Tcos(\theta)-g)^2$

as polar plot,  r = (A^2(sin(t))^2+(Acos(t)-10)^2)^(1/2),  where  g = 10,  and A = 0.5, 5, 9, 12, 20, 30

where for values of  A less than  g,  the curve is plotted in red.  Looks like the zones of a candle flame.

Hot air raises because of  $g_T$.  Hot air having less density so raises only if it is contained.  Otherwise fast molecules just go anywhere.

Have a nice day.