Calculate the internal pressure of a tube based on flow rate

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Discussion Overview

The discussion revolves around calculating the internal pressure of a tube based on the flow rate of water exiting the tube. Participants explore the necessary parameters and assumptions required for such a calculation, including tube dimensions, material properties, and flow conditions. The context includes theoretical and practical considerations related to fluid dynamics.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant seeks to calculate the internal pressure of a tube given the flow rate of water exiting it, along with the tube's length, diameter, and atmospheric conditions.
  • Another participant questions the clarity of the initial information provided, emphasizing the need for a complete understanding of the system configuration.
  • Some participants suggest that with additional assumptions about temperature, surface roughness, and water properties, it may be possible to calculate the pressure at any point in the tube.
  • Conservation of mass is mentioned, indicating that the flow rates into and out of the tube must be equal.
  • A participant confirms that the tube is horizontal and made of PVC, providing specific dimensions and flow rate for further calculations.
  • One participant applies the Darcy-Weisbach equation to estimate the pressure difference between the inlet and outlet of the tube.

Areas of Agreement / Disagreement

Participants express differing views on the sufficiency of the provided information for calculating internal pressure. While some believe that assumptions can lead to an approximate calculation, others highlight the need for more specific data and clarity regarding the system's configuration. The discussion remains unresolved regarding the exact method and assumptions necessary for an accurate calculation.

Contextual Notes

Limitations include the lack of information on the flow rate entering the tube, the need for assumptions about fluid properties, and the potential impact of elevation changes on pressure calculations.

PaulB
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TL;DR
Calculate exit pressure from tube based on flowrate
I have pump of unknown flowrate pumping water through a tube of length L and diameter D. I know that the flowrate of water exiting the tube is X mL/min. I would like to know the internal pressure of the tubing, how can I calculate it? This all occurs at sea level elevation.
 
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PaulB said:
I have pump of unknown flowrate pumping water through a tube of length L and diameter D. I know that the flowrate of water exiting the tube is X mL/min.
You said you don't know the flow rate and then that you do. Which is it? More to the point: do you have a complete picture of the system configuration? If not, exactly what do you know and not know?

PaulB said:
I would like to know the internal pressure of the tubing, how can I calculate it? This all occurs at sea level elevation.
Not with the information provided, no. It could even be zero.
 
russ_watters said:
You said you don't know the flow rate and then that you do. Which is it? More to the point: do you have a complete picture of the system configuration? If not, exactly what do you know and not know?
I know the flowrate of the water exiting the tubing. I don't have any knowledge of the florwrate of the water entering the tube. All I know is tube length, diameter, water density and atmospheric conditions. Is it possible to determine internal pressure from this?
 
Last edited by a moderator:
Given an elevation profile of the tube (and the info in the OP), there is enough information to calculate the pressure at any point in the tube. Temperature, surface roughness, and the precise properties of the water would have to be assumed.

Depending on the precision of the answer that you require, you might just be able to use a standard 'pipe/tubing pressure drop' table (for your tubing size) and add/subtract gravity head for elevation changes.
 
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PaulB said:
I know the flowrate of the water exiting the tubing. I don't have any knowledge of the florwrate of the water entering the tube.
The flow rates into and out of the tube must be the same due to conservation of mass.
PaulB said:
All I know is tube length, diameter, water density and atmospheric conditions. Is it possible to determine internal pressure from this?
You said this all occurs at sea level - so it's completely horizontal? Do you know the hose material?

I agree with @Dullard that with a few assumptions you can calculate an answer but if it is accurate enough for your needs is another matter.
 
russ_watters said:
The flow rates into and out of the tube must be the same due to conservation of mass.

You said this all occurs at sea level - so it's completely horizontal? Do you know the hose material?

I agree with @Dullard that with a few assumptions you can calculate an answer but if it is accurate enough for your needs is another matter.
 
The tube is completely horizontal. Material is PVC, actual inner diameter is 1 mm. I am just looking for a decent approximation of internal pressure. How can I calculate?
 
what are your Length and Flowrate?
 
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Dullard said:
what are your Length and Flowrate?
Dullard said:
what are your Length and Flowrate?
 
  • #10
Dullard said:
what are your Length and Flowrate?
Length is 0.3 m, flowrate is 8 mL/minute. How can I calculate the answer?
 
  • #11
I used Darcy-Weisbach:
The pressure at the inlet to your tube is approx 0.2 PSI (1450 Pa) higher than the outlet pressure. The pressure change across the length is linear (0.1 PSI at the midpoint...).
 
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