Bernoulli principle - negative pressure

AI Thread Summary
The discussion centers on a programming issue related to the Bernoulli principle, specifically calculating negative pressure using the formula p2 = p1 + 0.5*v1^2 - 0.5*v2^2. The user initially receives negative pressure results due to a missing density factor in their calculations. After incorporating the liquid density, they still encounter negative pressure, indicating that the inlet pressure may be insufficient to maintain the desired mass flow through the nozzle. The conversation highlights the importance of distinguishing between gauge and absolute pressures in these calculations. Ultimately, the issue stems from the relationship between inlet pressure and mass flow requirements.
maleo7
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I will write a program about principle bernoulli, but i have a problem.

My input data:

Pressure(p1) = 1000
Cross-section(A1) = 1
Velocity(V1) = 1

Cross-section(A2) = 0.5

Velocity(v2)= (V1A1)/A2

to simplify: h1=h2

i'm counting the pressure p2 : p2 = p1 + 0.5*v1*v1 - 0.5*v2*v2 , so i getting negative pressure..

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This is a problem (negative pressure)

I'm trying to add atmospheric pressure, but it doesn't solve my problem.

Is a mathematical formula is good? Is there any other relationship?
 
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Some units would be helpful in deciphering your problem.
 
maleo7 said:
i'm counting the pressure p2 : p2 = p1 + 0.5*v1*v1 - 0.5*v2*v2 , so i getting negative pressure..

Your equations look OK. You correctly calculated V2 = 2, so you must have made a mistake in the code.

My calculator says 1000 + 0.5*1*1 - 0.5*2*2 = 998.5 whcih isn't negative.
 
AlephZero said:
Your equations look OK. You correctly calculated V2 = 2, so you must have made a mistake in the code.

My calculator says 1000 + 0.5*1*1 - 0.5*2*2 = 998.5 whcih isn't negative.

My mistake. I forgot write the density of liquid.

Should : p2 = p1 + 0.5*v1*v1*ro - 0.5*v2*v2*ro

ro=density=1000,

so:
p2 = 1000 + 0.5*1*1*1000 - 0.5*2*2*1000 = -500 .
 
SteamKing said:
Some units would be helpful in deciphering your problem.

I replace Paskal to kPa, but it didn't help
 
Your "negative outlet pressure" just means the inlet pressure is too low to force the given mass flow through the nozzle.
 
AlephZero said:
Your "negative outlet pressure" just means the inlet pressure is too low to force the given mass flow through the nozzle.

Yep, although if the given pressures are gauge rather than absolute, it would work just fine (so long as you weren't trying to exhaust the flow with a negative gauge pressure to the atmosphere).
 

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