Calculating the Pressure at a Reservoir

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SUMMARY

The discussion centers on calculating the pressure at a reservoir, specifically at point P2, using Bernoulli's principle and the equation Q = vA. The correct pressure at P2 is determined to be -49.5 kN/m², based on the condition that both pressure and velocity at point P1 are zero. Participants clarify that P1 should be located at the reservoir surface, not within the pipe, and emphasize the importance of correctly applying first-order equations in fluid dynamics.

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  • Familiarity with fluid dynamics equations
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Engineers, fluid dynamics students, and professionals involved in hydraulic systems or reservoir management will benefit from this discussion.

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Summary:: Calculating the Pressure at a Reservoir

Hello all

I am struggling to calculate the pressure at a given point, i am getting all sort of strange answers and i was hoping someone could help.

The question is as follows:-

q1.JPG


From this i have tried to draw a sketch of the problem (not sure if its correct though):-

p1.JPG
I have tried to use the formula Q = vA and Bernoullis principle to calculate the pressure at P2 by doing the following:-
gt.JPG


But i have been told that this is incorrect and the correct answer is -49.5 kN/m^2

Because the pressure and velocity at P1 is 0.

I was wondering if i could get someone elses view?

Thank you.
 
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P1 should not be situated inside the pipe. It should be situated at the reservoir surface, at its interface with the atmosphere.
 
tomtomtom1 said:
Summary:: Calculating the Pressure at a Reservoir

Hello all

I am struggling to calculate the pressure at a given point, i am getting all sort of strange answers and i was hoping someone could help.

The question is as follows:-

View attachment 254525

From this i have tried to draw a sketch of the problem (not sure if its correct though):-

View attachment 254526I have tried to use the formula Q = vA and Bernoullis principle to calculate the pressure at P2 by doing the following:-View attachment 254527

But i have been told that this is incorrect and the correct answer is -49.5 kN/m^2

Because the pressure and velocity at P1 is 0.

I was wondering if i could get someone elses view?

Thank you.
How did you manage two alternative answers? The equation is 1st, not 2ne, order!
Also of course see post 2.
 

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