Force of Water Flow: Calculating Pressure on Structure

In summary, the conversation discusses how to calculate the force exerted on a structure when a pipe with flowing water enters it. The equation for calculating this force is provided, which is based on Newton's second law and involves the density of water, flow volume, and change in velocity. The equation is confirmed to be on the right track.
  • #1
smprindi
1
0
If a pipe flowing with water enters a structure where the structure wall will stop the horizontal velocity of the flow and direct it downward (i.e a pipe into a manhole with an outlet at a considerably lower elevation), how do you calculate the force exerted on the structure of that wall. I have found the equation Force = density of water * flow volume * change in velocity. Is this on the right track?
 
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  • #2
Welcome to PF!

Hi smprindi ! Welcome to PF! :wink:
smprindi said:
… how do you calculate the force exerted on the structure of that wall. I have found the equation Force = density of water * flow volume * change in velocity. Is this on the right track?

Yes …

from good ol' Newton's second law …

force = rate of change of momentum

= velocity times mass per time …

which is the same as your Force = density of water * flow volume * change in velocity. :smile:
 
  • #3


Yes, you are on the right track. To calculate the force exerted on the structure, you need to consider the change in momentum of the water as it enters the structure and changes direction. This can be calculated using the equation Force = mass flow rate * change in velocity. The mass flow rate can be calculated by multiplying the density of water by the flow volume. However, it is important to note that this equation assumes the water is incompressible and there are no losses due to friction or turbulence. In real-world situations, these factors may need to be taken into account to get a more accurate calculation of the force exerted on the structure.
 

1. What factors affect the force of water flow on a structure?

The force of water flow on a structure is affected by the velocity of the water, the surface area of the structure, and the density of the water.

2. How is pressure calculated on a structure from water flow?

The pressure on a structure from water flow can be calculated using the formula P = F/A, where P is the pressure, F is the force of water flow, and A is the surface area of the structure.

3. Can the direction of water flow impact the pressure on a structure?

Yes, the direction of water flow can impact the pressure on a structure. When water flows directly perpendicular to a structure, the pressure will be at its maximum. When water flows parallel to a structure, the pressure will be lower.

4. How does the shape of a structure affect the force of water flow?

The shape of a structure can affect the force of water flow by creating areas of high and low pressure. For example, a curved surface can create a suction effect and increase the force of water flow on a structure.

5. What is the relationship between the force of water flow and the strength of a structure?

The force of water flow can put stress on a structure, and the strength of the structure must be able to withstand this stress to avoid damage. The stronger the structure, the more force of water flow it can withstand before experiencing damage.

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