Flow through Convergent-Divergent Duct

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SUMMARY

The discussion centers on the behavior of flow through convergent-divergent ducts, particularly in the context of horizontal flow with incompressible fluids. It establishes that due to frictional losses, the actual total pressure head is less than the ideal pressure head as per Bernoulli's equations. When the duct is inclined upward, the pressure head increases upstream until it equals the elevation head downstream, resulting in zero velocity head. Additionally, the impact of compressible fluids on pressure loss in such ducts is explored, with references to relevant resources like the CD nozzle information from Virginia Tech and standards from API 520 and ASME BPV Code.

PREREQUISITES
  • Understanding of Bernoulli's equations
  • Knowledge of fluid dynamics principles
  • Familiarity with convergent-divergent duct design
  • Awareness of ASME and API standards for pressure relief valves
NEXT STEPS
  • Research the effects of compressible fluids on flow dynamics in convergent-divergent ducts
  • Study the coefficient of discharge for pressure relief valves as per ASME and API guidelines
  • Explore the design considerations for convergent and divergent angles in nozzles
  • Examine the relationship between pressure head and elevation head in fluid systems
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Engineers, fluid dynamics researchers, and professionals involved in the design and analysis of fluid systems, particularly those working with pressure relief valves and convergent-divergent duct applications.

neostalker
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Guys, i would like to ask some opinion from u all. About the convergent-divergent duct, it is horizontal flow and the water is incompressible.

So, based on Bernoulli's equations, elevation and density is the same. Because of the frictional losses, the actual total pressure head, H is less than then the Ideal Pressure Head.
Any disagreement from you guys, or any other opinion.

If the convergent-divergent duct is inclined upward, what will happen?
 
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If the duct was inclined upwards the pressure head will increase at the upstream due to difference in height , but the total head loss will stay constant .
The flow will continue until the pressure head at upstream equals the elevation head at downstream thus velocity head will be zero and the fluid comes to rest.
 
Guys,

Following the quesrtion by neostalker, I would like to know what would happen if the flow is with compressible fluids ? What will be pressure loss in this case ?
 
johntyroger said:
Guys,

Following the quesrtion by neostalker, I would like to know what would happen if the flow is with compressible fluids ? What will be pressure loss in this case ?

Given the generality of your question, here is a good point to start reading:

http://www.engapplets.vt.edu/fluids/CDnozzle/cdinfo.html

CS
 
stewartcs said:
Given the generality of your question, here is a good point to start reading:

http://www.engapplets.vt.edu/fluids/CDnozzle/cdinfo.html

CS

Thanks for the response Stewart CS. The link was very helpful.

It was a very good start for me. In the case of the pressure relief valves, usually the convergent and divergent sections of the nozzle are perpendicular to each other. Is this angle between going to affect the behaviour of CD nozzle ?
 
Last edited:
johntyroger said:
Thanks for the response Stewart CS. The link was very helpful.

It was a very good start for me. In the case of the pressure relief valves, usually the convergent and divergent sections of the nozzle are perpendicular to each other. Is this angle between going to affect the behaviour of CD nozzle ?

With relief valves you'll have a coefficient of discharge from the manufacturer to account for the flow through the valve. The rule of thumb is 0.975 if I recall correctly (per ASME and API). However, the manufacturer should provide it to you. A good reference is API 520 and ASME BPV Code.

CS
 

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