What is the flow rate through a capillary tube?

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SUMMARY

The flow rate through a capillary tube can be calculated using the Hagen-Poiseuille equation, which requires modifications to account for hydrostatic pressure effects. The discussion highlights the complexity of determining the flow rate, especially since it is not constant and ceases once the maximum height is reached. For practical applications, understanding the time taken to reach this maximum height is essential. The provided MIT lecture notes serve as a valuable resource for further exploration of this topic.

PREREQUISITES
  • Understanding of the Hagen-Poiseuille equation
  • Knowledge of hydrostatic pressure principles
  • Familiarity with fluid dynamics concepts
  • Basic mathematical skills for equation manipulation
NEXT STEPS
  • Research modifications to the Hagen-Poiseuille equation for hydrostatic pressure
  • Study fluid dynamics principles related to capillary action
  • Explore time-dependent flow rate calculations in capillary tubes
  • Review MIT lecture notes on interfacial phenomena for advanced insights
USEFUL FOR

Students and professionals in physics, engineering, and fluid dynamics, particularly those interested in capillary action and flow rate calculations in narrow tubes.

ratzmoose
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Hi,

I was wondering if there was an equation for the flow rate through a straight vertical or angled capillary tube. All I can find is how to calculate the height it rises but I would like to know how to find the rate it rises. I imagine it is not a steady rate since it must stop once it reaches it's max height however just to be able to get the time it would take to get to that point should suffice for what I am doing.

Any help would be greatly appreciated.

Thanks
 
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Check out the Hagen Poiseuille equation. This equation would have to be modified to include hydrostatic pressure effects.

Chet
 

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