Same problem as this unanswered guy here: Fire not affected by force fields
Have stuck turbulence up to really high number and the flames simulate as peaceful as anything.
Domain settings:
First, you have to free cache.
Second, a freed cache is not always rewritten when a force field is modified.
It may be needed to force erasing of cache by tweaking a domain setting ( just increase resolution to erase cache and immediately decrease it to have it back t normal).
New cache written should take into account current status of force field.
That is an annoying bug that we have to deal with.
I would like to add, you should probably tweak the size setting on the turbulence too. It’s a texture based effect and the scale affects how it looks.