[Conceptual Question] Fluid Mechanics Analysis of Pipe Flow

AI Thread Summary
Shifting the pipe network vertically by 10m will not change the volume flow rate, as the elevation head is primarily determined by the free surface height of the water in the tank. The entrance and exit positions of the pipes do have some influence, but the elevation head driving the flow is the critical factor. The calculation of elevation head focuses on the height difference from the water surface to the pipe entrance. Therefore, the flow dynamics remain consistent as long as the free surface height is unchanged. Understanding these relationships is essential for accurate fluid mechanics analysis in pipe flow scenarios.
aerograce
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Homework Statement


As shown in the figure, if the pipe net work is shifted bodily by 10m vertically up the tank, and all the other conditions remain the same as the previous figure. Will the volume flow rate change?

Or I rephrase it as, in the calculation of elevation head of pipe flow, is the elevation head related to free surface height of the water in tank, or the entrance/exit position of the pipes from the tank?

Homework Equations


Relevant Equations are:
Hf=f L/d V^2/g
Hl= K V^2/g

The Attempt at a Solution


The attempt at this problem is:
I think it is related to free surface height of the water in tank only since in calculation we usually draw a line from one water tank free surface to another.
 

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You are correct (if I understand you correctly). The flow entrance distance below the free surface is the key factor since it is this head that drives the flow. In the first figure, the entrance appears to be somewhat close to the tank bottom, and that could have a minor effect on the nature of the flow around the entrance, but the big factor is the head.
 
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