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

In summary, Bernoulli's equation states that pressure decreases when velocity increases in fluid flow. Pressure is always normal to the surface the fluid is touching and is affected by factors such as height, density, and acceleration due to gravity. In the case of solid objects, pressure is determined by weight per unit area. In fluid flow, both static and dynamic pressure must be considered, with an increase in velocity resulting in a decrease in static pressure.
  • #1
de$per@do
4
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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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  • #2
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.
 
  • #3
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.
 

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

What is the basic pressure term in FM?

The basic pressure term in FM refers to the fundamental concept of pressure in fluid mechanics. Pressure is defined as the force per unit area exerted by a fluid on its surroundings. It is a crucial parameter in understanding the behavior of fluids, and is measured in units of force per unit area, such as pounds per square inch (psi) or pascals (Pa).

How is pressure calculated in FM?

Pressure in FM is calculated using the equation P = F/A, where P is pressure, F is force, and A is area. This equation shows that pressure is directly proportional to force and inversely proportional to area. In other words, the greater the force exerted by a fluid on a given area, the higher the pressure will be.

What are the units of pressure in FM?

The units of pressure in FM can vary depending on the system of measurement being used. In the SI (International System of Units), pressure is measured in pascals (Pa). In the English system, pressure is typically measured in pounds per square inch (psi) or pounds per square foot (psf). Other commonly used units include bar, atmosphere, and torr.

Why is understanding pressure important in FM?

Understanding pressure is crucial in FM because it is a fundamental property of fluids and plays a significant role in many fluid mechanics principles and applications. Pressure is essential in determining the flow of fluids, calculating forces and stresses on objects in fluids, and predicting changes in fluid behavior under different conditions.

How is pressure measured in FM?

Pressure in FM can be measured using various devices, such as pressure gauges, manometers, and barometers. These devices work by converting the force exerted by a fluid on a given area into a readable measurement. The type of device used will depend on the specific application and the range of pressures being measured.

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