Are Pressure Levels Same in Streams with Unequal Areas?

In summary, according to the Bernoulli Equation, the pressure can be the same at two points at the same horizontal level even if the areas are different, as long as the water velocity and density are the same at each point. This is because the dimensions of pressure are force per unit area, making gross area irrelevant.
  • #1
phymatter
131
0
if water is flowing in a streamline motion then at 2 points at same horizontal level can the pressure be same if area is not same ?
please help!
 
Physics news on Phys.org
  • #2
From Bernoulli Equation, if the area changes than the vertical elevation would also need to change to keep the static pressure constant.
 
  • #3
phymatter said:
if water is flowing in a streamline motion then at 2 points at same horizontal level can the pressure be same if area is not same ?
please help!

Yes. The dimensions of pressure are force per unit area. Gross area is irrelevant. I assume that the water velocity and density are the same at each point.
 

1. What is pressure and how is it measured?

Pressure is the force per unit area exerted by a fluid on a surface. It is typically measured in units of Pascals (Pa) using a pressure gauge, which may be mechanical, electronic, or a manometer.

2. Are pressure levels the same in streams with unequal areas?

No, pressure levels are not the same in streams with unequal areas. According to Bernoulli's principle, the pressure of a fluid decreases as its velocity increases. Therefore, in a stream with unequal areas, where the velocity changes, the pressure will also change.

3. How do unequal areas affect pressure levels in a stream?

Unequal areas in a stream affect pressure levels by causing changes in the velocity of the fluid. As the stream narrows, the velocity increases and the pressure decreases, while the opposite occurs when the stream widens.

4. What is the relationship between pressure and area in a stream?

The relationship between pressure and area in a stream is inverse. As the area decreases, the velocity of the fluid increases, causing a decrease in pressure. Similarly, as the area increases, the velocity decreases, resulting in an increase in pressure.

5. How do pressure levels in streams with unequal areas affect fluid flow?

The unequal pressure levels in streams with unequal areas affect fluid flow by creating areas of higher and lower pressure. This difference in pressure can cause the fluid to move from areas of high pressure to areas of low pressure, resulting in fluid flow and potential changes in the stream's direction or speed.

Similar threads

  • Mechanics
Replies
5
Views
1K
Replies
31
Views
3K
Replies
40
Views
2K
Replies
2
Views
1K
Replies
4
Views
763
Replies
46
Views
3K
Replies
29
Views
6K
Replies
9
Views
865
Replies
48
Views
4K
Replies
17
Views
2K
Back
Top