The things that affect flow rate in a pipe are diameter, length and pressure drop.
For a given length and a given pressure drop from end to end, the larger the pipe the greater the flow. The smaller the pipe the smaller flow.
volumetric flow rate = change in velocity / time (dV/dt) or flow velocity x area (va)
this being said, the flowrate with be affected by size as it is a dependent variable. As area increases, so will the flowrate and vice versa. There are items such as nozzles and diffusers. Nozzle takes a larger area and decreases to a smaller area to increase the velocity and reduces pressure at the exit. Diffusers do the opposite. Bernoulli's equation might also help you understand the reasons and variables.
Assume a flow rate of 1 ft^3/sec. If the pipe has an area of 1 ft^2, the velocity is 1 ft/sec (volumetric flow / area)
Reduce the pipe to 0.1 ft^2 area, what happens to the velocity?
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How does volumetric flowrate change with pipe size? Like how does if the pipe has a large diameter and how does it change if the pipe has a small diameter? And why?
