Please Sir! What's a velocity stack? (either at home or otherwise)
Although I studied fluid dynamics as a core part of a Mech Eng Degree, I learned far more from reading the work of the late John Robinson which covered the subject as part of chassis tuning (drag), exhaust tuning (pressure waves) and intake tuning (more pressure waves, optimum velocities and venturi effect).
What useful and simple principles I do remember (and it's not much) is that high speed air has lots more friction than you would think, hates changing direction and behaves in a fairly consistent way when its flow is interrupted and restarted (like before or after a valve in an engine).
The way I imagine it…
In the intake system the air behaves like a big group of people wanting to leave a big building standing in a lobby then suddenly, all running towards one opening lift. When the door opens some of the people go in, but many are left outside. The surge forward of the mass of people is stopped when the doors close, and the assembled crowd at the lift door start to relax and wander back into the lobby. The people behind them take a little longer to stop moving forwards, and a bit of a squash happens in the middle of the lobby. Then the doors open again and the people at the front are pushed forward to get in to the lift. I imagine this cycle on a loop to replicate the intake system.
But… While the architect doesn't want anyone crushed in the lobby, an engine designer would love to see this. They actively seek to create the highest pressure ready to rush the valve as soon as it opens, so they design the intake length, (from intake valve to bell mouth outer tip or sometimes air box lid) to make the crowd stay pushing at the lift doors. In the human example this would be a corridor from the lobby to the lift doors.
When a 4 stroke engine runs at a medium crank speed (say a single at 6,000 rpm), the air flow coming in to each cylinder is stopped suddenly by the closing intake valve 3000 times every minute. Each time the valve shuts a 'backing-up' pressure wave creates a higher pressure area behind it, which would quickly equalise to atmospheric pressure if the valve didn't open again, milliseconds later. The perfect situation for the engine designer is that the higher pressure wave (the crush in the lobby) fills the whole intake tract, but does not spill out of the end (the bell-mouth) and drop the pressure.
The time available for the higher pressure to dissipate is proportional to engine speed as there will be a valve opening again very soon if you are near the redline, or a long wait at tick-over. The time taken for the pressure wave to reach back to the atmosphere (the world outside the bell-mouth) at that particular air speed is determined by the length of the 'corridor' from the closing valve, back through the carb to the end of the bell-mouth.
If, at our 6000rpm engine speed, the compression effect works perfectly, and the pressure wave maximised the pressure throughout the intake tract, the cylinder filling will be optimised and the intake length will be contributing its best efforts to increasing torque at that RPM.
Down at 2000 rpm, with more time before the valve opens again, the pressure wave would have escaped, so we would need a longer intake tract to trap it and get the intake length benefit down there. A really long corridor will always trap it, but the drag of the air against the intake wall (the friction thing) will reduce the efficiency of the engine at all speeds, so not perfect for a racer.
Up at 10,000 rpm, our pressure wave (the crush in the lobby) would only be getting half way back from the valve to the atmosphere, so we would need a shorter manifold, carb and bell mouth to get maximum intake efficiency at such high revs. The shortest intake also creates the lowest drag, which helps peak power.
It's my simplified understanding, and almost certainly 'too-simple' for peeps that really understand all the science, but I've seen it work very clearly in practice on both intake and (expansion chamber) exhaust systems when racing little 2 strokes as a skinny youth
P.S It's much easier to see the tuned length (from exhaust port back to the converging cone) on two stroke exhausts: Compare a 175 MZ (designed to be good at low revs) to a 350 TZ (still the same capacity per pot, but designed to have a narrow power band at high revs). One is long 'n thin, while the latter is very short & fat.