Bernoulli principle - negative pressure

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Discussion Overview

The discussion revolves around the application of the Bernoulli principle, specifically addressing the issue of calculating negative pressure in a fluid dynamics context. Participants explore the implications of their calculations and the relationships between pressure, velocity, and cross-sectional area in a fluid flow scenario.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents a calculation for pressure using the Bernoulli equation but encounters negative pressure, prompting questions about the validity of the formula and the relationships involved.
  • Another participant suggests that additional units would clarify the problem, indicating potential confusion in the calculations.
  • A participant confirms the equations appear correct and suggests a coding error might be the source of the negative pressure result, providing a recalculation that yields a positive pressure.
  • After realizing a missing density factor in the calculations, a participant recalculates and still arrives at a negative pressure, raising concerns about the physical interpretation of the results.
  • Some participants note that negative outlet pressure could indicate insufficient inlet pressure to maintain flow through the nozzle.
  • There is a mention of gauge versus absolute pressure, suggesting that the interpretation of pressures could affect the outcomes discussed.

Areas of Agreement / Disagreement

Participants express differing views on the implications of negative pressure, with some suggesting it indicates a problem with inlet pressure while others explore the calculations and their assumptions. The discussion remains unresolved regarding the interpretation of negative pressure in this context.

Contextual Notes

Limitations include potential misunderstandings related to units and the distinction between gauge and absolute pressure. The discussion does not resolve the mathematical steps leading to negative pressure or the assumptions about fluid flow conditions.

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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