How far your piston should travel
Posted: Sat Jan 19, 2008 11:46 am
I was not really sure where to put this post, but if a moderator feels that there is a better section that it should be in, feel free to move it.
A lot of people new to pistons always ask how far a piston should be able to travel back, and the response from most members who are experienced with piston valves is the diameter of the barrel divided by 4 (d/4). This number seems way too small to many, who believe the piston should need to travel back much more in order to achieve full flow. Using basic physics/math, here is an explanation as to why the d/4 rule is correct.
Consider the amount of air which can flow through the barrel. The amount of air which can flow through is equal to the cross-sectional area of the barrel. In our case, that cross-sectional area is circular, meaning the cross-sectional area would be equal to (pi)(r^2).
When the piston is fully open, consider the amount of air which can flow through the gap created by the piston. Image this gap is a cylinder of air. The amount of air which can flow through that cylinder would be equal to the surface area of the cylinder, minus the top and bottom. Therefore, the cross-sectional area would be equal to 2(pi)(r)(h), where h is the amount of piston travel, effectively the height of the cylinder.
To achieve maximum flow and maximum efficiency, you want the amount of air which can flow through the gap created by the piston to equal the amount of air that can flow through the barrel. Therefore:
(pi)(r^2) = 2(pi)(r)(h); divide by pi
r^2 = 2rh; divide by r
r = 2h; solve for h
h = r/2; replace r with d/2 (radius = 1/2 diameter)
h = (d/2)/2
h = d/4
And there you have it. The piston travel should equal the diameter of the barrel divided by four. If for some reason I did something wrong, please correct me. I just was thinking about why that rule made sense last night before I fell asleep, and this is what occurred to me. I thought this would be a helpful post for those who are just getting into pistons.
A lot of people new to pistons always ask how far a piston should be able to travel back, and the response from most members who are experienced with piston valves is the diameter of the barrel divided by 4 (d/4). This number seems way too small to many, who believe the piston should need to travel back much more in order to achieve full flow. Using basic physics/math, here is an explanation as to why the d/4 rule is correct.
Consider the amount of air which can flow through the barrel. The amount of air which can flow through is equal to the cross-sectional area of the barrel. In our case, that cross-sectional area is circular, meaning the cross-sectional area would be equal to (pi)(r^2).
When the piston is fully open, consider the amount of air which can flow through the gap created by the piston. Image this gap is a cylinder of air. The amount of air which can flow through that cylinder would be equal to the surface area of the cylinder, minus the top and bottom. Therefore, the cross-sectional area would be equal to 2(pi)(r)(h), where h is the amount of piston travel, effectively the height of the cylinder.
To achieve maximum flow and maximum efficiency, you want the amount of air which can flow through the gap created by the piston to equal the amount of air that can flow through the barrel. Therefore:
(pi)(r^2) = 2(pi)(r)(h); divide by pi
r^2 = 2rh; divide by r
r = 2h; solve for h
h = r/2; replace r with d/2 (radius = 1/2 diameter)
h = (d/2)/2
h = d/4
And there you have it. The piston travel should equal the diameter of the barrel divided by four. If for some reason I did something wrong, please correct me. I just was thinking about why that rule made sense last night before I fell asleep, and this is what occurred to me. I thought this would be a helpful post for those who are just getting into pistons.
.
even though when you think about it there is a maximum amount of air that can enter the barrel at once although does the 1/4" rule take into account velocity of the air because maybe more piston travel would allow the air to enter the barrel more freely 
