Turbulence pressure in convection zone

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SUMMARY

The discussion centers on the formulation of turbulence pressure as a function of temperature within the convection zone of a star. Key references include the papers available at http://chjaa.bao.ac.cn/2004/2004_4_5p490.pdf and http://www.journals.uchicago.edu/ApJ/journal/issues/ApJS/v108n2/33389/33389.web.pdf, specifically pages 2, 3, and 6. The contributor is developing a composite polytrope model with n=3 for the interior and n=1.5 for the convective envelope, seeking to isolate convection-related terms in the equations. The complexity of the topic is acknowledged, particularly in avoiding time-dependence and magnetism.

PREREQUISITES
  • Understanding of turbulence pressure in astrophysical contexts
  • Familiarity with polytropic models in stellar structure
  • Knowledge of convection zones in stellar astrophysics
  • Ability to interpret scientific papers related to astrophysics
NEXT STEPS
  • Research the derivation of turbulence pressure equations in stellar convection zones
  • Study the implications of polytropic indices in stellar models
  • Examine the effects of temperature on turbulence in astrophysical fluids
  • Explore the role of convection in stellar evolution and stability
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Astronomers, astrophysicists, and students studying stellar dynamics, particularly those focused on convection processes and turbulence in stellar interiors.

Helios
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Is there a formula for turbulence pressure that is a function of temperature ( in the convection zone of a star )?
 
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Helios said:
Is there a formula for turbulence pressure that is a function of temperature ( in the convection zone of a star )?
I didn't look at the whole thing yet, but it should be on:
http://chjaa.bao.ac.cn/2004/2004_4_5p490.pdf (Pages 2 & 3) or at:

http://www.journals.uchicago.edu/ApJ/journal/issues/ApJS/v108n2/33389/33389.web.pdf (Page 6).
 
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The complexity of that is far too daunting. I want to avoid time-dependence and certainly magnetism. Frankly, I'll tell you what I'm working on and that is a composite polytrope; n=3 inside and n=1.5 for a convective envelope. Now I would like to be able to point to some term in an equation and say this part is due to convection. My articulation is vague at this point and I would welcome any ideas.
 

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