Bernoulli principle - negative pressure

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SUMMARY

The discussion centers on the application of the Bernoulli principle in fluid dynamics, specifically addressing the calculation of pressure (p2) using the formula p2 = p1 + 0.5*v1*v1*ρ - 0.5*v2*v2*ρ. The user initially encountered negative pressure results due to an oversight in including the fluid density (ρ = 1000 kg/m³). After correcting the formula, the calculations still indicated negative pressure, attributed to insufficient inlet pressure to maintain the desired mass flow rate through the nozzle. The conversation highlights the importance of using absolute pressure measurements rather than gauge pressure to avoid confusion with negative values.

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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..

1zo7vxc.jpg


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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