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Atouk
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- Necessary conditions for Bernoulli's theorem.
Can Bernoulli's equation be applied between points 1 and 2, ignoring the another tank ?
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What do you think?Atouk said:Summary:: Necessary conditions for Bernoulli's theorem
https://www.physicsforums.com/attachments/263163
Can Bernoulli's equation be applied between points 1 and 2, ignoring the another tank ?
I would say "of course not", but I can not explain what happens with the steamline between 1 and 2...Chestermiller said:What do you think?
I see, but supposing that I have all the information about the points 1 and 2Chestermiller said:All the water would flow from the upper reservoir to the lower reservoir on the right. There would be no flow from 2 to 1 unless a huge flow were forced by the pump. It would have to provide a pressure of at least 10 psi.
I think that if you specify the flow at the pump, you can determine the pressure at the pump and the flows in the two arms using Bernoulli.Atouk said:I see, but supposing that I have all the information about the points 1 and 2
(speed, pressure and height), could I be able to apply Bernoulli's equation and figure out Hp?
My question is conceptual, the values don't matter.
So, in an ideal situation (steady flow, without losses in pipes, etc.)Chestermiller said:I think that if you specify the flow at the pump, you can determine the pressure at the pump and the flows in the two arms using Bernoulli.
To get your feet wet, start out by considering the problem where there is no flow from the pump.Atouk said:So, in an ideal situation (steady flow, without losses in pipes, etc.)
p1 / ρ + (v1^2) / 2 + g*h1 = p2 / ρ + (v2^2) / 2 + g*h2 - Hp ?
Where on Earth are you getting 10 psi from here?Chestermiller said:All the water would flow from the upper reservoir to the lower reservoir on the right. There would be no flow from 2 to 1 unless a huge flow were forced by the pump. It would have to provide a pressure of at least 10 psi.
Atouk said:Summary:: Necessary conditions for Bernoulli's theorem.
View attachment 263167
Can Bernoulli's equation be applied between points 1 and 2, ignoring the another tank ?
If I remember correctly, the OP showed some dimensions on his original post (which was later edited).cjl said:Where on Earth are you getting 10 psi from here?
After further consideration of this situation, I totally agree.cjl said:In general, this does not look like a situation where Bernoulli would apply because based on the diagram alone, I strongly suspect that there are significant viscous losses here, especially given that 2 is labeled as a river with what appears to be a free surface well below the surface of 1. Bernoulli applies to situations without significant viscous loss, and I don't see how that can be the case here.
Ah, that would explain it. I first saw it with no dimensions, so your claim seemed totally arbitrary.Chestermiller said:If I remember correctly, the OP showed some dimensions on his original post (which was later edited).
No, Bernoulli's equation can only be applied to ideal fluid flow situations, where the fluid is incompressible, non-viscous, and the flow is steady and laminar.
The assumptions made are that the fluid is ideal, the flow is steady and laminar, and there is no energy lost due to friction or turbulence.
Yes, Bernoulli's equation can be used for both liquids and gases as long as they are in ideal fluid flow conditions.
Yes, Bernoulli's equation can be applied to both open and closed systems as long as the fluid flow conditions are ideal.
Bernoulli's equation is commonly used in the study of fluid mechanics and is used to analyze and predict the behavior of fluids in various engineering applications, such as in the design of aircraft wings and fluid pumps.