What is the relationship between pressure and velocity in fluid flow?

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In fluid flow, Bernoulli's equation states that as velocity increases, pressure decreases, indicating an inverse relationship between the two. While stationary fluids experience pressure that varies vertically due to gravity, flowing fluids maintain pressure that acts equally in all directions. The pressure changes in flowing fluids are primarily influenced by dynamic pressure, which is dependent on velocity, while static pressure decreases to maintain a constant total pressure. Height, density, and gravitational acceleration have minimal effects on pressure changes during flow, especially when height variations are small. Understanding the distinction between static and dynamic pressure is crucial for analyzing fluid behavior in motion.
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if we consider fluid flow, then bernoulis equation says that pressure must reduce when velocity is high.What is the direction of pressure when fluid is in flow?
When fluid is stationary then pressure varies in vertical direction. It acts in downward direction on account of gravity. Means it is (h*density*gravitational acceleration).
While the fluid is in flow none of the height,density,acceleration due to gravity changes the how the pressure reduces at high velocities?? (like in throat of venturimeter).
If we consider solid bricks slipping on ground (one on another) with no friction between them and with ground,then pressure is weight per unit area, if velocity is high then weight per unit area does not change.
 
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de$per@do said:
if we consider fluid flow, then bernoulis equation says that pressure must reduce when velocity is high.What is the direction of pressure when fluid is in flow?
When fluid is stationary then pressure varies in vertical direction. It acts in downward direction on account of gravity. Means it is (h*density*gravitational acceleration).

Pressure has no direction. It acts equally in all directions. In other words, it is always normal to whatever surface the fluid is touching.

de$per@do said:
While the fluid is in flow none of the height,density,acceleration due to gravity changes the how the pressure reduces at high velocities?? (like in throat of venturimeter).

These factors can still affect the pressure if, in the course of the flow, the fluid is changing heights. Still, for small height changes, the pressure change will be miniscule compared to that created by the fluid's motion.

de$per@do said:
If we consider solid bricks slipping on ground (one on another) with no friction between them and with ground,then pressure is weight per unit area, if velocity is high then weight per unit area does not change.

I am not sure what exactly you are trying to get at here. A fluid and a solid are entirely different materials and do not follow all of the same patterns, obviously.
 
Pressure is in all directions!

With fluid flow you have to consider two types of pressure, static AND dynamic.
The important thing to note is the dynamic pressure of a fluid is relative to its velocity. the equation is:

static pressure + dynamic pressure = constant.
p + 1/2 (density x velocity^2) = constant.

if velocities increase, so will the dynamic pressure and because of the constant, the static pressure will DROP.
 
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