You can make brush animations loop continuously using the loop feature. Looping adjusts the speed of the turbulence and flow so that particles at the beginning of the loop are at the same spot as the particles at the end of the loop at the same time. The result is a smooth loop without any jumping as the animation repeats.
Similarly, if the brush has flow animation, set the Flow SpeedMult value to make the flow faster.
In general, if you need to increase both these speeds (make the values greater than 1), the loop can be made smaller.