Fluid Dynamics Homework: Reservoir Connection and Bernoulli's Principle

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Homework Help Overview

The discussion revolves around fluid dynamics, specifically the behavior of water flowing between two reservoirs connected by a pipe. The original poster presents a scenario involving a higher reservoir and a lower one, questioning the flow velocity and energy conversion as described by Bernoulli's principle.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of Bernoulli's principle and continuity equation, questioning whether the flow velocity remains constant under different conditions, such as when one tank is being filled.

Discussion Status

The discussion is active, with participants offering different perspectives on the flow behavior. Some have raised questions about the assumptions made regarding the system's configuration and the effects of backpressure. There is no explicit consensus yet on the conditions under which the flow velocity remains constant.

Contextual Notes

Participants note the importance of considering frictional losses and the specific setup of the reservoirs and pipe, which may affect the flow characteristics. The original poster's scenario assumes ideal conditions without these losses initially.

Gyroscope

Homework Statement


This is my creation.
I have a reservoir at an height h and another one on the floor. I connect them through a pipe with constant diameter. If the water start flowing from the higher reservoir to the lowest with will flow with constant velocity. This is true, isn't it?
By Bernoulli, I can say that potential energy per volume is being converted in pressure energy as the water flows down. Am I right?
 
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Gyroscope said:

Homework Statement


This is my creation.
I have a reservoir at an height h and another one on the floor. I connect them through a pipe with constant diameter. If the water start flowing from the higher reservoir to the lowest with will flow with constant velocity. This is true, isn't it?
By Bernoulli, I can say that potential energy per volume is being converted in pressure energy as the water flows down. Am I right?

What are the relevant equations? Forget the second tank for a second, assume the tank is simply allowed to drain, is the rate of drainage constant? Hint: Imagine it nearly full and then nearly empty.

John
 
No. As the tank drains, the velocity the water leaves the tank is decreasing.

I created this problem. The relevant equations is just Bernoulli's and continuity.
 
But imagine that the higher tank is being filled with water so that the level remains constant. In this case, the velocity of the water flowing through the pipe is constant in space and time. Right?
 
I suppose, it depends on the configuration, if the tubing connecting the two is under water at any point then the flow will change as a function of the growing backpressure.
 
It is not underwater. So am I right?
 
p+1/2rhoV^2 + rho*g*h=constant. But this neglects the frictional losses in the pipe. Not clear what is being asked really at this point? Sorry I can't be of more assistance,
John
 

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