Heat transfer - aeroheating and material thickness

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SUMMARY

The discussion focuses on determining the appropriate thickness of a carbon fiber pre-preg shroud for a small rocket payload to prevent overheating due to aeroheating. The maximum heat rate experienced is 908 kW/m², and the avionics can withstand temperatures up to 85°C (358 K). The user initially applied Fourier's law for steady-state conduction but found that their analysis predicted overheating for various thicknesses. A more accurate approach involves estimating the outer wall temperature and calculating the necessary thickness based on a desired inner temperature while considering the heat transfer coefficient for convection.

PREREQUISITES
  • Understanding of Fourier's law for heat conduction
  • Knowledge of heat transfer coefficients and their significance
  • Familiarity with material properties, specifically thermal conductivity (k) of carbon fiber
  • Basic principles of thermal analysis in aerospace applications
NEXT STEPS
  • Research methods for calculating heat transfer coefficients in aerospace environments
  • Study the application of Fourier's law in transient heat conduction scenarios
  • Explore thermal analysis techniques specific to composite materials like carbon fiber
  • Investigate numerical modeling tools for heat transfer simulations in aerospace applications
USEFUL FOR

Aerospace engineers, thermal analysts, and materials scientists involved in the design and thermal management of rocket payloads will benefit from this discussion.

engineer23
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Heat transfer -- aeroheating and material thickness

I'm trying to size the thickness of a shroud to encapsulate a payload on a small rocket. We're using carbon fiber pre-preg (k=6.83 W/m-K) and (per the aeroheating analysis based on the trajectory) the max heat rate is 908 kW/m^2.

The avionics housed inside the shroud are rated to 85 C (358 K).

How can I get an idea of what the thickness of the shroud needs to be to prevent overheating?

I tried to use Fourier's law for SS conduction through a plane wall as a crude first-order analysis to get an idea. So the outer temp. on the shroud moldline (To) is given by q"L/k + Ti. I've been picking inside temps. (Ti) that are some percentage of the max. temp the electronics can take (say, 50% or 179K) and a material thickness (ex. 1/8") and then comparing the predicted outer temp. with the glass transition temp. for the material. This doesn't seem like a very sound analysis, as it's also predicting overheating for basically every thickness I select.

Ideally, we could estimate the outer wall temp. and then calculate the thickness based on a desired inside temp. How should I approach this? I also don't have an estimate for h (heat transfer coefficient for convection) in this scenario.

I haven't had heat transfer in many years, so I think I'm feeling in the dark to some degree!
 
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you should always gauge using maximum temperature of outer wall to calculate the thickness.
 

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