## Don't use blender for this one
Since you only need a still image, there is no need for elaborate smoke simulations that take days to render. 

If you really really wanted to use blender, try looking into https://blender.stackexchange.com/questions/7434/abstract-wave-with-particle-system


But really, it would be so much simpler, easier, and less time consuming to use something designed for creating art like this: http://www.escapemotions.com/products/flamepainter/



I even have made a demo of something similar to this that runs in realtime in JS to prove that you could code it yourself if you too. http://codepen.io/Thisisntme/full/KNpPEz/
[![enter image description here][1]][1]


  [1]: https://i.sstatic.net/Wnuhm.png

If you wanted to know, my codepen works by creating a sequence of lines, and then dragging them down the screen (from left to right although it doesn't really matter) all while changing the y position with a few trig functions.