Worth checking the model, the specifics. Someone at Amazon (reviews) explains his own mod to cool down the drive, this specific model.

richard
mod I made to TBU 405 for lower heat buildup - see attached pictures.
note: with the holes drilled doesn't NEED the fan. Fan was my first attempt to fix this and it worked on it's own, but I didn't want to drag fan and 12v wall wart around.
Note the feet to allow air flow to bottom. Also note holes are drilled so the air flows in the bottom and has to flow across the bottom of the board to rise out of the opposite side.
I also munged up inside of case with Dremel tool to allow a few gaps between side of case and board so air can flow up the same side as the holes on top .
And I quit using the fan unless I am at home and it is easy to just turn it on.
Again - if you don't have one yet, buy the one (TBU405 pro) with fan built in.
If you already bought the TBU405 and have a few tools, maybe a way to fix it.
With no fan, just feet/holes to help air flow it stays in high 30 C
to low 40 C range when used as a drive for VMs (Virtual Machines).
I don't own that so I don't know, but after some googling, I've found results of heat issues with external drives. And I'm a bit surprised by this:
exactly, some external SSD's come with a fan? wow
I knew some mechanical hdds had it, some mostly for the internal power source, some for the drives.