I have a Torii Jr V2, it is remotely located on a high shelf near the ceiling.

Do tube amps in general warrant a small fan to keep temperatures down especially during the summer. We do have A/C but not sure how effective it is near the ceiling

Does higher temps hurt or hinder the amp performance

This is my first tube amp so no past experience to go on

Also do you leave tube amps on or turn them on and off as used

Thanks

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Agree with Lon you will be fine without a fan.

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This is a little debatable. Every time you turn the amp on and off it stresses the tubes and shortens their life. And every minute you run the tubes shortens their life. So there is a trade off, and I've never seen a compelling argument for a "right answer" as to what is the optimum trade off, and in fact it almost certainly depends on the exact tubes you have. For me, if I'm not going to listen for an hour or so I turn off the amps. Without getting too far off topic there are some rectifier tubes, the common ones are the GZ34 aka 5AR4 and GZ32 aka 5V4 that "soft start" your amp and reduce the on/off cycle stress tilting the trade off more to turning the amp off vs. leaving it on. But the bottom line is you kinda need to figure out what works for you (and your tubes). FWIW in almost 40 years of tube amp ownership I've never had a tube failure result in smoke or fire either.

Sean mentions a close in condition for the amps, and I can see how a small fan moving air away, preventing any build up of stationary heat, could be beneficial to the rest of the close parts of the system.

But, I have also noticed that my amps are more settled in and delicious sounding when they get kind of hot. Some parts you do not want to touch bare handed.

Other parts like the chassis can get a little hot, but not so hot you can't pick it up after it has been running all day. Mine are somewhat ventilated, open front, sides and back with almost a foot above the tubes before the upper shelving.

I do believe the best tube sounds are due in part to them running a little bit hot.
How hot can be a simple judgement call; you must decide.

.. and as already pointed out, definitely do not leave them unattended, ever.
With a foot above my amplifiers, which run the hottest, I have never had any inclination to place a fan on any of my tube gear.

maybe they are more like engines... designed to be run hot. The associated parts have temp ratings too. Electrolytic capacitors will have a range of 85C-125C depending on the model that you choose. This is all up to the designer to build something that can run 24/7, not that I recommend it. True, tube amps tend to sound their best after a good warm up. I just got in a Manley Stingray (cuz' I just could NOT resist) and the sucker runs hot. All 12 tubes producing quite a lot of heat. But because everything is mounted top side, there isn't a problem. I have only owned the smaller Decware amps, so heat really wasn't much of a consideration.
I would NOT have a fan blowing directly on the tubes if that hasn't already been stated.

My Torii IV is in a teak cabinet, something over 6' high, ±5 wide, ±2' deep. The doors are not air tight, but relatively tight and the back is insulated (for sound) with hard fiber board inside, and pretty densely packed 3.5" wall fiberglass insulation between plaster wall and the cabinet back.

The bottom of the cab is pretty air tight. The lower shelves are not full depth but close, so not much air space around. This includes the shelf the Torii is on which is about belly button high for me. For air flow, the shelf above the Torii I made as narrow as I could for the gear on it. And it is somewhat narrower than the gear, as I am using a sort of tripod of feet under everything, the footer footprint less deep than the gear. It is about 1/2 the cabinet depth and somewhat centered front to back. So above the Torii is pretty open front and back. I also removed one board off the top back of the cabinet to let the interior heat out some. But all in all, I have way less circulation than a rack with ambient air space all around it.

Depending on the rectifiers I am using, they can be a few inches to ±4" from the narrow shelf just above them, but I recall when I was using 807s, the ceramic top adapter was close enough to be a hassle if I had the amp set in more under the top shelf. For a while I was concerned about this, but after checking time and time again, stopped thinking about it in this space anyway.

Right now the rectifiers and power tubes are close to the transformer heights and all are ±3.5" from the shallower shelf above. The part of the shelf closest to the hotter power and rectifier tubes is ±120°. The amp plate and transformers nearest tubes are ±120-130. The room is ± 76°, a warm day here with a lot of sun coming in windows, so the house is getting warm. I have drilled a bunch of ± 1/4 holes in the amp enclosure base, but not sure how much they do since there is no way for them to vent upward.

The system has been on for 7 hours or so. It is still in its sweeter sound range that comes after warming up.

That amp actually looks like a pretty cool idea for keeping you from touching tubes while ventilating tubes and transformers. With that all around space below the glass, and above, I would expect a chimney effect to be created from the heat of the tubes... cool air being drawn in the bottom, and hotter air going out the top.

I leave my amp(s) on overnight on occasion. I do it to run in new tubes and I did it when I was breaking in my UFOs. I plan on doing it when I get my UFO25s later this year. I turn them off when I wake up and give them a few hours to cool down. I usually turn them off when I leave the house, but that is more because of my “turn off the amps if you aren’t going to listen from an hour” policy then fear that something bad will happen. JMO/YMMV and all that.

Like the general consensus here has indicated….you probably have nothing to worry about.  If you had a fully sealed cabinet and were concerned….. even after opening the front doors…I guess you could try a small computer fan.  They tend to be very quiet.  

BUT….I would say you would be better served using the fan to pull hot air out as opposed to blowing air over the tubes to try and cool the unit. While I don’t know specifics…tubes do have an operating temperature, so trying to cool them too much could be potentially counterproductive.  

Dom