It depends on if you have a smooth laminar flow with little friction and steady state flow, or transient, and or turbulent flow.
Assuming you pipe lining is smooth, by changing the inside diameter of the pipe to 10mm, you get the same mass flow rate but at four times the speed.
Bernoulli equation applies, conservation of kineticand potential energy.
But if your pipe lining is rough, then you may need to use Poiseuille's Law if the flow is laminar:
$ Flow = \frac {P_1 -P_2}{R} \quad, \ R = \frac{8\eta*L}{\pi*r^4} \quad \eta = viscosity $
In many practical cases both rules apply, meaning you have pressure loss due to viscosity and you have pressure loss to constrictions, however for a short length as 100mm the friction loss is just nominal and the flow rate is constant.