Compressible vs. Incompressible Flow Equations

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SUMMARY

This discussion focuses on the application of fluid dynamics principles, specifically the differences between compressible and incompressible flow equations in compressed air systems. It establishes that the significance of these differences becomes apparent when the Mach number exceeds 0.3. Operating at pressures up to 7 bar may lead to flow choking, indicating that incompressible flow equations may not be adequate without a detailed analysis of air velocity and pressure conditions.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of Mach number and its implications
  • Familiarity with compressible flow equations
  • Experience with pressure systems and flow behavior
NEXT STEPS
  • Study compressible flow equations and their applications
  • Learn about flow choking and its impact on system design
  • Research the significance of Mach number in fluid dynamics
  • Explore computational fluid dynamics (CFD) tools for analyzing air flow
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Engineers, fluid dynamics researchers, and technicians working with compressed air systems who need to understand the implications of flow characteristics on system performance.

fonz
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As a private study I'm trying to figure out fluid dynamics applied to compressed air systems. Most of the material I am studying considers only incompressible fluid flow. From what I understand about the differences between compressible and incompressible flow in terms of the equations it only becomes significant when the mach number reaches about 0.3

In my systems I'm dealing with working pressures of no greater than 7 bar. Can apply standard equations to my calculations without having to compensate for changing densities due to pressure?
 
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That depends entirely on how fast the air may move in your system and the range of pressures you plan to operate in. You haven't really described anything in enough detail to know that.
 
At pressures of up to 7 bar, you could very easily have flow choking in places (in other words, locations in the flow where M = 1), so with the information provided, it's impossible to say whether incompressible equations will suffice or not for your purposes.
 

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