Calculate the internal pressure of a tube based on flow rate

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SUMMARY

The internal pressure of a PVC tube can be approximated using the Darcy-Weisbach equation, given specific parameters such as tube length (0.3 m), inner diameter (1 mm), and flow rate (8 mL/min). The pressure at the inlet is approximately 0.2 PSI (1450 Pa) higher than the outlet pressure, with a linear pressure change along the tube's length. Accurate calculations require assumptions about temperature, surface roughness, and water properties, but the conservation of mass principle ensures that flow rates into and out of the tube are equal.

PREREQUISITES
  • Understanding of fluid dynamics principles, specifically the Darcy-Weisbach equation.
  • Knowledge of pressure measurement units, such as PSI and Pascal.
  • Familiarity with the properties of water, including density and behavior under atmospheric conditions.
  • Basic concepts of conservation of mass in fluid systems.
NEXT STEPS
  • Research the Darcy-Weisbach equation and its application in calculating pressure drops in pipes.
  • Explore the impact of surface roughness on fluid flow and pressure calculations.
  • Learn about the properties of PVC and how they affect fluid dynamics.
  • Investigate methods for measuring flow rates accurately in fluid systems.
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Engineers, fluid dynamics researchers, and anyone involved in the design or analysis of fluid transport systems, particularly those working with PVC tubing and water flow.

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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