Finding Outlet Diameter for Compressible Fluid Flow

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Discussion Overview

The discussion revolves around determining the outlet diameter for compressible fluid flow, specifically for carbon dioxide, given certain inlet conditions. Participants explore the applicability of various equations and methods in the context of fluid dynamics, particularly under conditions of significant pressure drop.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • One participant presents inlet conditions (2mm diameter, 100 bar pressure, 0.001176 m3/kg density, and a constant mass flow rate of 0.09017 m/s) and asks for the outlet diameter under a pressure drop to 20 bar.
  • Another participant suggests using the Bernoulli equation and continuity equation for the calculation.
  • Several participants argue against using the Bernoulli equation for compressible fluids, recommending the use of steady flow energy equations instead.
  • One participant notes that the accuracy of the method may depend on the pressure drop relative to the inlet pressure, suggesting a threshold of 10% for reasonable results.
  • There is a contention regarding the applicability of the Bernoulli equation, with some asserting it can be used under certain conditions, while others maintain it is not suitable for compressible fluids.
  • A participant expresses uncertainty about how to apply the equations without knowing the outlet conditions, mentioning the specific volume as a missing parameter in their analysis of an expansion valve for carbon dioxide.

Areas of Agreement / Disagreement

Participants do not reach consensus on the applicability of the Bernoulli equation for compressible fluid flow, with multiple competing views on the appropriate equations to use. The discussion remains unresolved regarding the best approach to determine the outlet diameter.

Contextual Notes

Participants highlight limitations related to missing outlet conditions and specific volume, which affect the ability to apply the proposed equations accurately.

johnmane
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hii ,
i know the inlet conditions i.e. dia 2mm , pressure = 100 bar, density= 0.001176 m3/kg, mass flow rate remains constant= 0.09017 m/s , for same mass flow rate for pressure drop 80 bar(i.e. pressure at outlet is 20 bar) for COMPRESSIBLE FLUID what will be the outlet dia? take fluid carbon dioxide...
 
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Use the Bernoulli equation, and continuity equation ;)
 


no u can't use bernouli equation for a compressible fluid...use steady flow energy equations
 


ravijha said:
no u can't use bernouli equation for a compressible fluid...use steady flow energy equations

Depends on what level of accuracy you want. The general rule of thumb is that if the pressure drop is less than 10% of the inlet pressure, then reasonable result can be obtained.

CS
 


ravijha said:
no u can't use bernouli equation for a compressible fluid...

Yes you can.

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Is this for a real application, or is this a textbook problem? It this is for a real application, geometry matters. Is this a nozzle, piping system, what?
 


Of course you can use the Bernoulli equation..., the Bernoulli equation says:

\frac{v^2}{2}+w+U=constant

Over one streamline if the flow is "general" (well, almost, fluid is barotropic, outer force field is conservative etc), and everywhere if the flow is irrotational.

Here w is the specific enthalpy, and U is the potential of the force field.
This can be applied to "any" fluid, compressible and incompressible alike...
 


hiiiii thanks for ur help and sorry for late response,
Topher925 u may be right...this is real problem...
but i know only inlet conditions ...don't know the outlet conditions...then how to apply this equation? if assumed outlet dia, then i am able to calculate velocity at outlet...but again one parameter misssing that is specific volume...actually this real problem came while analysing the expansion valve for carbon dioxide...
 

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