What is the giveaway that region 4 is Rayleigh flow?

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SUMMARY

Region 4 is identified as Rayleigh flow due to the absence of friction and the presence of heat addition, as outlined in the discussion. The flow characteristics are defined by the transition from an oblique shock to a normal shock, followed by isentropic expansion, leading to Rayleigh flow conditions. The key indicators include the frictionless nature of the flow and the thermal effects described in the provided references.

PREREQUISITES
  • Understanding of oblique and normal shock waves
  • Knowledge of isentropic processes in fluid dynamics
  • Familiarity with Rayleigh flow and its characteristics
  • Basic principles of thermodynamics related to heat addition and frictionless flow
NEXT STEPS
  • Study the principles of Rayleigh flow in detail
  • Explore the differences between Rayleigh flow and Fanno flow
  • Investigate the impact of heat addition on flow characteristics
  • Review the equations governing shock waves and isentropic processes
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Aerospace engineers, fluid dynamics researchers, and students studying thermodynamics and compressible flow will benefit from this discussion.

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Homework Statement
What is the giveaway the region 4 is rayleigh flow
Relevant Equations
from given question i can see there is an oblique shock then normal shock then isentropic expansion. what follows is rayleigh flow. what tells me that from question attached
answering part c
Screenshot 2022-04-05 131604.png
could someone explain each region of diagram. thanks. I've got parts a and b correct
 
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FannoFlow88 said:
Homework Statement:: What is the giveaway the region 4 is rayleigh flow
Relevant Equations:: from given question i can see there is an oblique shock then normal shock then isentropic expansion. what follows is rayleigh flow. what tells me that from question attached
According to these links, the lack of friction and the heat from combustion in region 4 should be the giveaway:

https://en.wikipedia.org/wiki/Rayleigh_flow

"Rayleigh flow refers to frictionless, non-adiabatic flow through a constant area duct where the effect of heat addition or rejection is considered."

https://en.wikipedia.org/wiki/Fanno_flow

"Fanno flow is the adiabatic flow through a constant area duct where the effect of friction is considered."
 
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