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... put a few grains of grit/sand in water in a flat bottomed jug and stir it in a circular motion and then leave it. The grit/sand will move to the center.
The fluid motion in a vortex creates a dynamic pressure (in addition to any hydrostatic pressure) that is lowest in the core region, closest to the axis, and increases as one moves away from it, in accordance with Bernoulli's Principle
The centrifugal force of a spinning galaxy should make the stars move outwards but it doesn't