Fluid dynamics - mass flow rate -dimensionless number

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SUMMARY

The discussion centers on the relationship between low mass flow rates of gas, specifically at 2g/s, and the associated friction losses in piping systems. It is established that at low mass flow rates, friction losses can be negligible, and the Euler's dimensionless number is relevant for analyzing these conditions. The conversation emphasizes the importance of non-dimensionalizing governing equations to identify driving terms and constants in fluid dynamics. Participants suggest that the main driving force at low mass flow rates is indeed the vapor pressure of the gas.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with Euler's dimensionless number
  • Knowledge of non-dimensionalization techniques
  • Basic concepts of vapor pressure in gases
NEXT STEPS
  • Study the process of non-dimensionalizing governing equations in fluid dynamics
  • Research the application of Euler's dimensionless number in various flow scenarios
  • Explore the relationship between mass flow rates and vapor pressure in gases
  • Investigate friction loss calculations in piping systems for different flow rates
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Students and professionals in engineering, particularly those focused on fluid dynamics, mechanical engineers, and anyone involved in analyzing gas flow systems.

JB Mandengue
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(a) Is it true that if the mass flow rate of a gas is low, say 2g/s (grams per second), the friction losses and other losses in the piping will be negligible?

(b) If it is true that losses in the piping are negligible, is it the Euler's dimensionless number that we can use to prove this?

(c) If it is the Euler's dimensionless number, please indicate the proof. If it is not Euler, which one is it?

(d) Is it true that at such low mass flow rates, the main driving force is the vapour pressure of the gas?
 
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If this is homework, please move it to the homework forum.

Thanks
Matt
 
At least throw an attempt and we'd be more likely to help you. Have you non-dimensionalized the governing equations? What terms do you see as constants?
 
minger said:
At least throw an attempt and we'd be more likely to help you. Have you non-dimensionalized the governing equations? What terms do you see as constants?

I haven't tried anything. I am looking for leads to point me in the right direction. The information I put about Euler is what I think it might be conceptually. But actually working it out I haven't tried.
 
Well as I mentioned, non-dimensionalize the equations, using standard non-dimensional terms and you immediately see what terms are driving. What terms can be driving if certain conditions are met.
 
I have encountered a vertically oriented hydraulic cylinder that is designed to actuate and slice heavy cabling into sections with a blade. The cylinder is quite small (around 1.5 inches in diameter) and has an equally small stroke. The cylinder is single acting (i.e. it is pressurized from the bottom, and vented to atmosphere with a spring return, roughly 200lbs of force on the spring). The system operates at roughly 2500 psi. Interestingly, the cylinder has a pin that passes through its...

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