According to Bernouli's equation, the static pressure inside a pipe with streamline and steady flow decreases with fluid's velocity. One explanation to rationalise this phenomenon is because velocity pressure increases and the sum of static and velocity pressure is a constant; thus static pressure decreases.
This inverse relationship is contradictory to our intuition that a fluid e.g. water from a hose with greater velocity exerts a greater pressure on us. I believe this contradiction to our intuition is because what we feel as 'higher pressure' is actually referring to 'higher velocity pressure'? (please correct me if i'm wrong)
And if so (or regardless if that logic is right/wrong), what is the physical meaning or intuitive meaning of static pressure? How does it differ with velocity pressure?