I'm going to go on a little story here.
Mainly as a lot of bad data is being pushed out in this thread, and folks will end up getting mislead into something they really did not want.
KAC conducted a recoil study for the US Government - we ended up developing the WRSS to measure recoil after ballistic pendulums and cradle devices where not giving true data. WRSS was displayed at SHOT, and we are actually selling some of these things to companies who are interested in tracking recoil and mitigation methods.
*we call it the robo-shoulder.
There are a number of excellent muzzle brakes, comps and flash hiders on the market currently, and depending what you want, you can likely get it.
Muzzle Brakes are solely designed to mitigate recoil -- some are obviously better than others, but the most efficient brakes will reduce about 95% of felt recoil.
An example of a 95% efficient brake is the Miculek Comp -- it does offer excellent recoil mitigation, but that the expense of a great deal of side concussion and flash.
Generally all the super efficient (75% or higher FRR - Free Recoil Reduction) brakes will exhibit the concussion and flash aspects, as they redirect a great deal of muzzle gasses quickly.
The Flash and Concussion aspects to any device depend upon the way the gasses are allowed to enter the atmosphere from the barrel/device.
Compensators: These are generally designed to compensate for recoil induced muzzle rise, one of the first black gun Compensators, was the old Thompson Cutts compensator that simple vented gases up to push the barrel back down, even technically the M16A2's Flash Hider is a Compensator - as when Lt Col Dave Lutz was the M16A2 Program Officer, he wanted a method to keep the barrel more level when shooting rapidly - as well as the A1's Birdcage with its bottom slot kicked up dust and dirt - so it was a "win/win" for the 5 slot A2. As a side note on 14.5-20" barrels the A2 Flash Hider/Compensator is around 7% effective at recoil reduction. These days a lot of stuff is marketed as a Compensator - that is really not. The XM-177E1/E2 compensator is another example - of course as it was also designed to help mitigate flash and sound back to 20" rifle lengths, ATF down here deemed it a "Silencer"
Flash Hiders/Flash Suppressors: Several different designs exist for these, to do several different flash mitigation methods -- older WWII weapons often had a bell shaped muzzle device to redirect flash and sound downrange to try to obscure less of the gunners vision when firing at night (down side it made a distinctly visible downrange flash - thus a good target). Open Tip/Prong devices are the most efficient, with geometry of the device making massive differences is efficency - the Gold Standard of Flash Reduction is the BE Meyers type device - however many of the prong designs suffer from harmonics issues, and will ring like a tuning folks. Closed Slot Flash Hiders are better at flash suppression inside a suppressor/silencer - as well they don't snag like open tip flash hiders.
Clip On Compensators -- years ago (90's) KAC made some short clip on comps for our M4QD Flash Hider - the idea was to help mask concussion of the weapon when in confined spaces (like a car) ATF deemed the device a Silencer, so we never went forward with commericial release -- the Fefrans device is a near clone of ported version.
The old TT (Triple Tap) is an example of a compromise Muzzle Break/Suppressor Mount: It was designed along with the NT-3 Suppressor (shorter version of the NT-4/M4QD Suppressor). It is generally 28% efficient at reducing Recoil (14.5" barrel) but was required to be made of Inconel, due to being a suppressor mount, and sacrificial baffle for the suppressor as well.
If we never build another one of these I will be happy - inconel sucks to machine, and has a very high scrap rate due to broken tools.
Last of my ramblings -- barrel length. Due to what Clob said, I wanted to add an aspect that is often overlooked, muzzle brakes are effective due to the way they vent high pressure muzzle gasses -- if your running a 20" 5.56mm gun most of the muzzle devices will be extremely efficient -- however not so on a 10" gun, as instead of hot gasses, your dealing with a lot of burning and unburnt propellant - so it does not have enough pressure to work as efficiently. To that end, the only reason I see for a Muzzle brake on a SBR is as a sacrificial baffle for your suppressor, but it's really up to you how you spend your money. Any time you add something to a muzzle brake that will constrict the way it vents to the atmosphere will reduce the effectiveness of the brake.
Spend your money wisely - know what you want/need and be an informed consumer.