Steady state model for a pressurized vessle

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SUMMARY

This discussion focuses on modeling the relationship between air pressure inside an inflated bladder and the diameter of its outlet, given a fixed inlet flow rate of 600 standard cubic feet per minute (scfm) through a 4-inch diameter inlet. The bladder has a volume of 120,000 cubic feet, and the internal pressure ranges from 2 to 4 inches of water column (inH2O). The discussion emphasizes the need to understand how the outlet's cross-sectional area affects the bladder's internal pressure and the dynamics of pressure rise over time until reaching a steady state, while also considering the bladder's material properties for accurate modeling.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of pressure measurement units, specifically inches of water column (inH2O)
  • Familiarity with airflow calculations and standard cubic feet per minute (scfm)
  • Basic concepts of material science related to elastic materials
NEXT STEPS
  • Research the principles of fluid dynamics in pressurized systems
  • Learn about the effects of outlet diameter on pressure drop in pneumatic systems
  • Study constitutive laws for elastic materials to model bladder behavior
  • Explore computational fluid dynamics (CFD) software for simulating pressure changes over time
USEFUL FOR

Engineers, fluid dynamics specialists, and material scientists involved in the design and analysis of pressurized systems, particularly those working with inflatable structures or bladders.

meccard
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I am trying to figure out the relationship between the air pressure inside of an inflated bladder and the diameter of the outlet with a fixed inlet flow rate.

The inlet is fed by a blower which is delivering 600 scfm to the system through a 4" diameter inlet. The bladder is large, it is 120,000 ft^3. I'd like to be able to determine the effect that the cross sectional area of the outlet has on the pressure inside the bladder. The outlet is simply a hole in the bladder with air flow going directly to the atmosphere. The pressure inside is low 2-4 inH2O. I would also like to be able to model the pressure rise over time up to a stead state point?
 
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Does the bladder expand and contract? Because if it does then your going to require a constitutive law for the material the bladder is made out of.
 

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