# Pressure & Velicity Relation in Fluids/gases

• allym.iftikha
In summary, the relationship between pressure and velocity can be simplified through Bernoulli's theorem, which states that for windward pressures, there is a direct relationship between the increase in pressure and the density of the fluid and the square of the mean velocity. Similarly, for parallel flows, the decrease in pressure is also directly proportional to the density and the square of the velocity. However, to convert proportional signs into equal signs, more information is needed such as angle of incidence, frictional forces, and turbulence. Therefore, it is not a simple or brief equation and requires further expertise.
allym.iftikha
Can somebody simplify me the relation of Pressure and Velocity ... Bernoullis theorem is Ok ... But Please simple and brief ... Like Is there any equation directly saying that P in inverse of Velocity ??

allym.iftikha said:
Can somebody simplify me the relation of Pressure and Velocity ... Bernoullis theorem is Ok ... But Please simple and brief ... Like Is there any equation directly saying that P in inverse of Velocity ??

For windward pressures, the increase is directly proportional to the density of the fluid and the square of the mean velocity. For parallel flows, the decrease in pressure is also directly proportional to the density and the square of the velocity. To convert proportional signs into equal signs, you need a lot more information; angle of incidence, frictional forces, turbulence, permeability of the surface to the fluid flow (sieves, gauze curtains, ship's sails, etc.) and so on.

I don't think simple and brief come into it, but I am willing to defer to those with more expertise.

## 1. What is the relationship between pressure and velocity in fluids/gases?

According to Bernoulli's principle, there is an inverse relationship between pressure and velocity in fluids/gases. This means that as the velocity of a fluid or gas increases, the pressure decreases, and vice versa.

## 2. How does the shape of an object affect the pressure and velocity of fluid/gas flow?

The shape of an object can greatly impact the pressure and velocity of fluid/gas flow. Objects with a curved or streamlined shape experience lower pressure and higher velocity, while objects with a blunt or irregular shape experience higher pressure and lower velocity.

## 3. Can changes in temperature affect the pressure and velocity of fluids/gases?

Yes, changes in temperature can affect the pressure and velocity of fluids/gases. As the temperature of a fluid or gas increases, its particles gain more energy and move faster, resulting in higher velocity and lower pressure. Conversely, a decrease in temperature causes lower velocity and higher pressure.

## 4. How do different types of fluids/gases behave in terms of pressure and velocity?

Different types of fluids and gases behave differently when it comes to pressure and velocity. For example, gases are more compressible than liquids, meaning that they can change volume and pressure more easily. In contrast, liquids are generally incompressible and have a more constant pressure and velocity.

## 5. What is the role of viscosity in the pressure and velocity relation of fluids/gases?

Viscosity, or the resistance of a fluid to flow, plays a significant role in the pressure and velocity relation of fluids/gases. Highly viscous fluids, such as honey, experience a higher pressure and lower velocity due to their resistance to flow. In contrast, low viscosity fluids, like water, have lower pressure and higher velocity.

• Mechanics
Replies
48
Views
4K
• Mechanics
Replies
19
Views
1K
• Mechanics
Replies
9
Views
2K
• Mechanics
Replies
43
Views
5K
• Mechanics
Replies
4
Views
1K
• Mechanics
Replies
3
Views
2K
• Mechanics
Replies
27
Views
3K
• Introductory Physics Homework Help
Replies
13
Views
331
• Mechanics
Replies
3
Views
3K
• Mechanics
Replies
4
Views
2K