Bernoulli principle or due to Viscosity?

In summary, the reason for the higher speed of water in the middle of a smooth flowing stream compared to its speed on the sides is due to viscosity. When applying Bernoulli's principle, the pressure is higher on the sides due to Adhesion and Cohesion forces, resulting in a lower velocity, while in the middle, only Cohesion forces are present, creating lower pressure and thus a higher velocity. Viscosity enforces the no-slip condition, keeping the velocity at the wall at zero, but allowing for faster movement in the middle.
  • #1
abrowaqas
114
0
Why the speed of water in the middle of the smooth flowing stream is high than its speed on the sides?

Is it due to Adhesion or cohesion forces or viscosity or Bernoulli principle holds here?
Kindly tell me exact reason .
 
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  • #2
What is your precise reasoning for thinking Bernoulli might be relevant here?
In particular:
What is a streamline?
 
  • #3
It is due to viscosity. You should look read about a boundary layer.
 
  • #4
But if we apply bernoulli's principle here: I-e
" where the pressure is high in a fluid there is low velocity and where the pressure is low in a fluid motion , velocity will be higher..
We know that at sides there is more pressure due to Adhesion and Cohesion forces hence speed is low.
However at middle only cohesion forces are available that low pressure hence more velocity ..
 
  • #5
Like RandomGuy88 said, all you have to think about is viscosity. Viscosity enforces the no-slip condition, i.e. the velocity at the wall relative to the wall is zero, hence you have zero velocity at the wall. In the middle it is obviously faster than zero.
 

1. What is the Bernoulli principle?

The Bernoulli principle states that as the speed of a fluid (such as air or water) increases, its pressure decreases. This principle is often used to explain lift in flight, as the faster-moving air above an airplane's wing creates lower pressure and causes the wing to rise.

2. How does the Bernoulli principle apply to fluid flow?

The Bernoulli principle applies to fluid flow by stating that as a fluid flows faster, its pressure decreases. This pressure difference can cause objects to move or lift, as seen in applications such as airplane wings and carburetors.

3. What is the role of viscosity in the Bernoulli principle?

Viscosity, or a fluid's resistance to flow, plays a crucial role in the Bernoulli principle. As a fluid flows faster, its viscosity can create friction and resistance, causing the pressure to decrease even more than predicted by the Bernoulli principle alone.

4. Can the Bernoulli principle be applied to all fluids?

No, the Bernoulli principle is not applicable to all fluids. It is mainly used for incompressible fluids, such as air and water. Compressible fluids, such as gases, may experience changes in density and temperature that affect the application of the principle.

5. Are there any real-world applications of the Bernoulli principle?

Yes, there are many real-world applications of the Bernoulli principle. It is used in airplane wings, carburetors, and even in the design of sports equipment such as golf balls and tennis rackets. It is also important in understanding weather patterns and fluid dynamics in general.

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