Calculating Force & Pressure of Dam Spillway Water

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In summary, the conversation discusses the planning of building a structure around a spillway of a dam. The main concern is determining the force and pressure of the water in both normal flow and flood conditions. The use of Bernoulli's equation is mentioned, but the expert suggests that water pressure can be estimated as height times density and that friction and changes in direction/momentum should also be considered. The expert also mentions that this type of problem is complex and has likely been studied and tested in the past.
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Epeters8888
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I am a mechanical builder planning to build a structure around the spillway of a dam. I know the average flow rate of the water going over the spillway. What I want to figure out is how much force or pressure will the water apply to the structure in its normal flow condition and in a flood condition. Is this Bernoulli's equation or is there a better formula to use ?

Thanks
 
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As a first approximation, water pressure is height times density...lateral movement would not seem to make much difference...for example the pressure of six feet of water would seem fairly constant...however, it would seem that friction/wear would be a major concern as would any change in direction/momentum as the water picks up speed...and as the spillway changes shape, inclination angle,etc changes.

My guess, without knowing just what you are trying to do, is that this kind of problem is very complex, has likely been modeled and field tested over the years...Hoover dam, for example, was not a "hit or miss" construction effort...
good luck...
 
  • #3
for reaching out! Calculating the force and pressure of the water on your structure is an important step in the design process. You are correct that Bernoulli's equation can be used to calculate the pressure exerted by the water in its normal flow condition. This equation takes into account the velocity of the water and the height of the spillway. However, in a flood condition, the pressure will be significantly higher due to the increased flow rate and potential for turbulence. In this case, it may be more accurate to use the Euler equations or the Navier-Stokes equations, which take into account factors such as the viscosity and density of the water. It is also important to consider the shape and design of your structure, as well as any external factors such as wind or debris. I would recommend consulting with a structural engineer or utilizing computer simulations to accurately calculate the force and pressure on your structure in both normal and flood conditions. Good luck with your project!
 

FAQ: Calculating Force & Pressure of Dam Spillway Water

What is the formula for calculating force of dam spillway water?

The formula for calculating force of dam spillway water is F = ρghQ, where F is the force, ρ is the density of water, g is the acceleration due to gravity, h is the height of the water above the spillway, and Q is the discharge rate of water.

How do you determine the pressure exerted by dam spillway water?

The pressure exerted by dam spillway water can be determined using the formula P = ρgh, where P is the pressure, ρ is the density of water, g is the acceleration due to gravity, and h is the height of the water above the spillway.

What units are typically used to measure force and pressure of dam spillway water?

Force is typically measured in Newtons (N) and pressure is measured in Pascals (Pa) for calculations involving dam spillway water.

How does the height of the water affect the force and pressure of dam spillway water?

The force and pressure of dam spillway water are directly proportional to the height of the water above the spillway. This means that as the height increases, so does the force and pressure exerted by the water.

Can other factors impact the force and pressure of dam spillway water?

Yes, other factors such as the density of water, the acceleration due to gravity, and the discharge rate of water can also affect the force and pressure of dam spillway water. Additionally, the shape and size of the spillway can also play a role in these calculations.

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