This is really the best way. We've put VFD's in sealed boxes boxes before, AB's, and I think the rule of thumb for the box was something like 7 times the volume of the VFD for it to dissipate enough heat. Don't quote me though...
4 times the volume. Minimum, more is better. But that assumes 25C ambient (77F) so you (milemaker13) are a little warmer than that, I would err on the side of caution. 7 sounds pretty good to me.
So that means if your drive is 4W x 5H x 4D, that is 80 cubic inches, so you use a minimum enclosure of 320 cubic inches and work the dimensions backward within the limits you have from the VFD manual and your location. For example if you can't live with more than an 8" deep box, 320/8 = 40 sq. inches, so that would be the smallest footprint. But you will also likely see in the manual that you must have 2" clear on each side of the VFD, and it is 4"W already, so no less than 8" wide. So 40 sq.in. / 8" wide = 5" high. But the VFD is already 5" high, plus you likely need 4" of clear air top and bottom, so 13" minimum. Boxes come in standard sizes, so 16H x 8W x 8D would be what you end up with. That is 1024 cubic inches, which is 12.8X the initial volume, should work out just fine.
I SERIOUSLY doubt that this VFD says it can operate in 55C without derating though. Typically VFDs are rated for 40C ambient (104F) and will say the MAXIMUM is 50 or 55C with derating. I strongly suggest reading the fine print before you do this.
And by the way, unless your drive specifically SAYS it is in a NEMA type 1 enclosure, you cannot just hang it on the wall. The wiring would be exposed.
I have a big problem with those vortex air coolers by the way. One thing most people miss is the volume of air, CLEAN INSTRUMENT GRADE air, that they require. The smallest one on that web page from Exair for example costs almost $400 and it needs around 8SCFM of air at 100PSI, cleaned and dehumidified. That's
roughly 3HP worth of air compressor to run it! These companies do NOT make that anywhere near clear in their data sheets, they make you find out the hard way AFTER you buy it and install it (been there, done that).