Years ago, before airboxes were designed as resonant systems, it used to be popular to cut additional holes in the air box to allow more air flow for high rpm. This is no longer a good idea. Modern air boxes can flow much more air than the engine will ever use. Modern engines have throttle bodies or carburetors with throats that are typically about 45mm in diameter, about 16 sq.cm in area. The inlet snorkel to a modern air box will be roughly 300 to 800 sq.cm - much larger than the throttle body or carburetor throat. The idea that the snorkel makes for a significant impediment to air flow into the engine is questionable at best. Drilling holes to let in more air is exactly equivalent to drilling holes in your speaker cabinets to let out more sound. Removing the snorkel from your air box is the exact same thing as removing the port in your speakers, the tube that's carefully engineered to have just the right diameter and length to reinforce the bass on your speakers at low frequencies. By altering your air box in any significant fashion, you're most likely going to cost yourself three to five hp in the mid range, and gain nothing measurable at high rpms.
Och lite matte bakom en luftburk
air box volume = V
inlet pipe = area * length = A * L
Air Mass = 1.25g / 1000 cc
Atmospheric Pressure = 104kg / cm sec2
PV = nkT (Ideal Gas Law)
If the air in the inlet tube moves X cm into the air box, then the volume of air inside the air box changes to:
V' = V + AX
Since Boltzman's constant and the air box volume don't change, that leaves only the temperature and the pressure. The gamma for air is 1.4, so
T' / T = (V' / V)^.4
T' / T = (1 + AX/V)^.4
We'll presume AX/V is small, so (1 + AX/V)^.4 = 1 + .4AX/V
The number of atoms in the air box changes to n' = (1 + AX/V)n. So, the new pressure is:
P'V = (1+AX/V) nk (1+.4AX/V) T
P' = (1 + AX/V) (1 + .4AX/V) P
P' = (1 + 1.4 AX/V) P
Now we can find the spring constant of the air box, K:
Force = Pressure*Area = Kx
Kx = 1.4 AX/V * A * 104 kg cm / sec2
K = AA/V * 146 kg / sec2
The mass of air in the inlet tube is
M = AL * 1.25g / 1000
The resonant frequency w, in radians per second, of a spring-mass system is:
w = sqrt( K/M )
= sqrt( AA/V * 146 kg / sec2 * 1000 / 1.25g AL )
= sqrt( A/VL * 146*1000*1000 / 1.25 sec2 )
= 1000 sqrt( 116.5 A/VL ) / sec
The resonant frequency is w / 2pi, and the resonant rpm is 30 * number of cylinders * f.
f = w / 2pi = 160 sqrt( 116.5 A / VL )
resonant rpm = 4775 sqrt( 116.5 A / VL ) (single cylinder)
resonant rpm = 19100 sqrt( 116.5 A / VL ) (4 cylinder)