Does Slower Flowing Fluid Experience Less Pressure Drop?

[Idea04]

Lets say water was rising vertically up a pipe at a lower pressure and lower velocity. Is the pressure drop the same in faster and slower moving fluids or does slower moving fluid lose less pressure from pressure drop.

 

[Clausius2]

The pressure drop in laminar regime is quadratically proportional to the mean velocity of the fluid.

 

[Idea04]

I don't understand your wording of the sentence. But to reword my question is to say will a slow flowing fluid rising vertically not see much of a loss in pressure due to gravity.