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The physics of muzzle brakes

Every so often I get into discussions with muzzle brake makers about their designs and how it effects the efficiently [ recoil reduction]. My latest was with a brake maker that has 3,4,& 5 "shark gill' brakes. when questioned he stated that all the bullet passage holes were the same size.
My thought is that only so much gas can exert force on the first baffle and the rest simply exits the port, where if the size holes started out at 200% of the final holes Dia. and each following hole were decreased that would allow some of the gas to flow to the next chamber and exert force on that baffle, ect.ect. School learning taught me that [ Force = area x pressure.] The amount of pressures from the amount of powder burned, area is the sq, in of the baffle .


The two extream examples are the JP brake with it's two large baffles and the first hole being large enough to allow gas to flow and hit the 2nd baffle, or the KDF type salt shaker brake with lots of holes for the gas to escape but only one baffle, and most of the pressure has [gas] has gone out all the holes.
Your thoughts on this principle
 

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