Fluid mechanics Continuity equation

Question

Continuity Equation paradox. In Continuity Equation If A>A'(area) , then V<V'(velocity).and fluid flows from A to A'.I know that Fluid flows from High pressure to low pressure.Then Pressure at A will be greater. But pressure is equal to Force/Area. But as I know Area of A is greater then Pressure should be Less at A. But its greater.

Answer 1

There is no paradox because the force is different on both sides of any cross sectional area.  Your argument assumes the same force on both sides, which is not correct.  If the flow moves from left to right through some cross sectional area A, with pressure p₁ on the left side and p₂ on the right side,

 

p₁ > p₂

 

F₁ = p₁A

 

F₂ = p₂A

 

Then

 

F₁ > F₂