Is this a bad fan setup?

Not seeing a drawing but from what i can understand ...

1. Two fans in front with intake filters ... if each fan pushes X cfm, you are probably looking at 1.33 X, with 1/3 reduction for air inlet filters.

2. I am assuming the one behind the air cooler means this fan is mounted on the rear of the case. So far 1.33 IN / 1.00 Out

3. This 120mm fan blowing in is going to suck in hot exhaust air from the PSU blow and GFX card above. To accomplish what you want to do, in many well designed cases there is w very nice but oft undocumented feature in that a 120 fan will mount on the back of the HD cages. I use this to blow air in between the cards on SLI builds.

If ya provide case model, may have some suggestions

OK so the picture shows exactly what I described....except when i read the 1st time, i remember the fan under the GFX card pushing in. If it's pushing air out, then you have this problem

2 fans in front minus 1/3 hit for air inlet filter restriction = 0.67 fans worth of air blowing in for each of the 2 fans
2 fan in rear blowing in with no inlet filters = 1.0 worth of fan cfm blowing air out for each of the two fans.

SO 0.67 in + 0.67 in - 1,00 out - 1,00 out = -0.67. You have negative case pressure. This means that the excess air being blown out will have to be balanced by air being sucked back in thru somewhere else and bringing more dust with it.

Also, the PSU fan **can** matter; if the case bottom doesn't have an inlet filter ? If not, the PSU fan is picking up dust, pushing it thru the PSU. Some stays, some gets puched out. What gets pushed out can wind up getting it back in because you have more case fans pushing air out then case fans pulling air in

Peeps often succumb to the notion that they need to have same air blowing in and blowing out... this is a misconception which ignores one of your cases most valuable cooling features ... the rear grille and the vented slot covers.

Kitchens get very hot and many have hoods which exhaust the hot air outside. Ever seen one that has a matching fan bringing cold air in ?

The fan creates negative pressure inside the room / building, Outside the air is higher pressure so the outside air pushes air into the kitchen, usually thru a vent or window, or if those are closed, under doors and every nook and cranny available. If you had no exhaust fans, all the air would still get out of the case... if it didn't only 2 things can happen ... a) the fans couldn't blow air in cause it had no way to get out or b) if the fans were strong enough, the case would explode.

Another example is if you have an attic fan how does that work ?

a) It takes the hot air from the highest point in your house and pushes it into the attic ... there's no other fan blowing air in

b) The attic fan blows the hot air into the attic, is no other fan blowing it out ?

So the orientation of a fan is generally determined by where the mount is: and water cooling different that air.

Water cooling, all rad fan are intakes, no exceptions.

Air Cooling
Front = In
Bottom = In
Side = in
Rear = Out
Top = It depends

if you have two fan mounts on top, if exhaust that would make 3 out ... so in order to account for the cfm loss from inlet filters, you want 1.5 times as much out... you'd need 4.5 out, say 5. If you have 2 front, 2 bottom and 1 side blowing in that works .... 5 x 2/3 = 3.33 out and 3 in... you have positive case pressure.

If they exhaust, you can remove the dust filter on top. If uses as inlets, leave them in

2 front and 2 top as intakes = 4 x 2/3 = 2.66 in and 1 out ... that means 1.33 worth of air will go out thru the rear panel grille.

It's always easier when ya name the case, but looking at the pic, it looks like an intake fan could be mounted on the bottom of the case. Assuming there's in inlet filter there, i think that would be ya best option.

Dust is one of them .... I mean you **can** buy filters and mount them yaslef if ya wanna make an exhaust mount into an intake mount. On way to tell what the manufacturer intended is this... if it has an air filter, then it's an intake.

As for the air around the GPU thing think about what is happening here.... your GFX card fans are taking air from under you card and pushing it up over the heat sink

Look here, we do that test here using a fog machine when setting up case cooling. Skip to the 1 minute mark if you are impatient. As you can seem the general movement is to the back and up, though you can see a mistake there if ya paid attention ... 4 in / 4 out ... negative case pressure.

I blame the video director ! But if ya look at the case, the fact that they provide an intake filter tells ya that its designed for intake ... as it must be if you put a 360 or 420mm rad in there.
That case is really designed for water cooling and

https://www.youtube.com/watch?v=ly9ioBk2tSs

so 1 out and 5 (or 6 in)... that's just fine. Your out is the big giant grille on the back of the case.

I'm not sure, w/o a fog test if you are really really exhausting hot GPU air ... you may be stealing the intake air. Cool air coming in the front would normally get sucked right up thru the GPU and out the rear grille above it. Every case is a lil bit different but as you are ... what is happening is that hot PSU exhaust and hot GFX card exhaust thru the slots come sup an inch or so above the GFX card and negative pressure is sucking the hot air back inside the case.

The 140mm ones will be silent up to about 850 repm ... I mean dead silent, not just low noise. I have 15 of them in my case ... 6 on top rad / 4 on bottom rad (all intakes ofc) and 6 case fans (5 in 1 out). Sometimes i sit down in the morning and turn the PC on... but its already one, you just can't hear it. At low demand, I have the fans set to turn off of the fan curve says we don't need more than 350 rpm ... but even at 850, running stress tests , it's dead silent. Lotta fans at lower speeds.

The Thermalright Silver Arrow is in my son's rig ... for 6 years with a 4.8 Ghz OC on 2600k. It's silent.

You can see the top 22 or so fans in the chart here:

http://www.silentpcreview.com/article1345-page7.html

about half way down the page there's a chart