Not for the FX-9xxx series. Thats one of the only air cooler that will run it, there are a few more but they cost even more. The other option is closed loop water cooling, which is preferred.
CPU Cooler:Phanteks PH-TC14PE_BK 78.1 CFM CPU Cooler ($79.99 @ Newegg) Total: $79.99 (Prices include shipping, taxes, and discounts when available.) (Generated by PCPartPicker 2014-02-21 21:38 EST-0500)
CPU Cooler:Noctua NH-U12S 55.0 CFM CPU Cooler ($49.99 @ NCIX US) Total: $49.99 (Prices include shipping, taxes, and discounts when available.) (Generated by PCPartPicker 2014-02-21 21:49 EST-0500)
I recently upgraded to a an FX 9590. I have been gathering info on the same subject. I asked for real experience on the issue but Have not gotten to much yet. Liquid cooling is recommended by AMD. But it turns out that oniy some of the 240mm or bigger liquid coolers are better than the best high end coolers. and not by much. And in my case that meant
a new Case. So I took a chance and used my intuition and Gave my air cooler a shot. It is a "Swiftech Polaris 120". It
Has 5, 8mm Direct Touch Copper Heat Pipes. It has a wind tunnel Design. The Fan is the key to this cooler which runs
max @ abouy 84 cfm. So I added a Scythe Glide Stream 120 Pwm.Then I hooked it to a Fan controller. I run it at full bore.
This is just a Gamming machine. I have tesed it for a short while. I am idling at 28 degrees centigrade. Full bore gamming is @ 59 degrees Centigrade. These temps will drop a little since this is my first run with new thermal paste. I am using Ceremique. But get some good thermal paste. Arctic silver 5 or ceramique2. There are others. the Swiftec Polaris is Available from Swiftec for $39.99 Plus Tax & shipping. Total is between $ 55.00 - $ 60.00. You can also try Jab-Tech. http://www.jab-tech.com/amd-am2-heatsinks/swiftech-polaris-120-heatsink/
jab tech's will set you back less than forty $.
Here is a link for the fan:
I have a Hyper EVO 212 cooling mine and it performs great. Extra fan on the unit to accelerate the airflow thru the heat sink. Idle temp in high 20s and load temp range between 45-55. http://pcpartpicker.com/b/Qwbj4D