Shouldn't the pressure difference along a pipe be a negative number?

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Discussion Overview

The discussion revolves around the concept of pressure difference in fluid flow within a horizontal pipe, specifically addressing whether the pressure difference should be considered negative or positive. Participants explore the implications of terminology and definitions related to pressure drop and pressure difference.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants assert that the pressure difference ΔP = P2 - P1 should be negative when fluid flows from a higher pressure (P1) to a lower pressure (P2).
  • Others argue that the definition of pressure difference is a matter of convention, noting that if the flow direction is defined positively, the pressure gradient (dp/dx) can be considered negative.
  • Some participants clarify that the term "pressure drop" typically implies a positive value, suggesting that a negative pressure drop would indicate a rise in pressure.
  • There is a reiteration that in pipe flow, the entrance pressure is higher than the exit pressure, leading to a negative value when calculating ΔP, yet the positive value is often used in calculations.
  • Terminology is highlighted as a key factor in the discussion, with some participants expressing understanding of the nuances involved.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of pressure difference and pressure drop, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

The discussion reflects varying definitions and interpretations of pressure difference and pressure drop, which may depend on the chosen coordinate system and terminology used by participants.

lost captain
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TL;DR
We know that across a horizontal pipe, the pressure will become smaller due to friction. So shouldn't the pressure difference be a negative number?
Across a horizontal pipe with fluid flowing inside, the pressure will drop due to the friction between the fluid and the pipe walls
So if for example the fluid flows from left to right and we take 2 points: P1 (pressure on the left) and P2 (pressure on the right) then P1 should be bigger than P2.
And the pressure difference should be
ΔP = P2 - P1 <0
So pressure difference or pressure drop should be negative. Why is it positive?
 
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Why is it positive you think? Where did you read that?

It is entirely a matter of definition. If the pipe is along the x-axis and the flow in positive x direction than the pressure gradient (dp/dx) is indeed negative. If on the other hand the flow is in negative x-direction then the gradient is positive.

The way you describe it is however the common way to do this.
 
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PipeRoughness-768x355.png



PipePressureDrop-1024x566.png



Pump_pipeline-3-1024x412.png



echanics-hagen-poiseuille-pipe-flow-pressure-drive.jpg
 
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lost captain said:
So pressure difference or pressure drop should be negative. Why is it positive?

By the way: if you call it a pressure drop, it should be positive. A negative pressure drop is a rise in pressure.
 
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Arjan82 said:
By the way: if you call it a pressure drop, it should be positive. A negative pressure drop is a rise in pressure.
Thank you, very much🙇‍♂️😊
Yes understand that the word "drop" in "pressure drop" basically means subtracting.
 
In pipe flow, the entrance pressure is higher than the exit pressure. So the pressure at the exit minus the pressure at the entrance is negative.
 
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Chestermiller said:
In pipe flow, the entrance pressure is higher than the exit pressure. So the pressure at the exit minus the pressure at the entrance is negative.
Yeah exactly, but when we calculate ΔP we take the positive value
 
lost captain said:
Yeah exactly, but when we calculate ΔP we take the positive value
It’s just terminology.
 
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Chestermiller said:
It’s just terminology.
Thank you very much for taking the time to reply 😊🙇‍♂️
 

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