Boundary Layer Thickness of Blunt Body

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SUMMARY

The discussion focuses on calculating the boundary layer thickness for the Apollo re-entry capsule in a hypersonic vehicle project, assuming a 2-D flow. Key calculations include the local surface inclination angle, pressure coefficient, drag coefficient, pressure, and temperature at the surface. To determine the pressure and temperature distribution from the blunt surface to the shock wave, one must solve the compressible boundary layer equations, utilizing the spherical or cylindrical form due to the geometry of the capsule's blunt edge.

PREREQUISITES
  • Understanding of compressible fluid dynamics
  • Familiarity with boundary layer theory
  • Knowledge of pressure and drag coefficients
  • Experience with 2-D flow analysis
NEXT STEPS
  • Study the compressible boundary layer equations in detail
  • Learn about the specific characteristics of hypersonic flow
  • Explore numerical methods for solving boundary layer problems
  • Investigate the effects of surface geometry on boundary layer behavior
USEFUL FOR

Aerospace engineers, fluid dynamics researchers, and students involved in hypersonic vehicle design and analysis will benefit from this discussion.

roldy
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I am working on a hypersonic vehicle project and would like to calculate the boundary layer. The vehicle that I am studying is the Apollo re-entry capsule. I'm assuming a 2-D flow. Here's what I have done so far.

Calculate the local surface inclination angle at any point on the blunt body surface (heat shield).

Calculated the pressure coefficient, drag coefficient, pressure, and temperature of the surface.

Essentially what I'm wondering is how do you calculate the pressure and temperature distribution from the blunt surface to the shock wave? Both are a function of y(distance away from the blunt body surface).
 
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You will need to solve the compressible boundary layer equations. Luckily for you, the blunt edge of the Apollo capsules were spherical, so you can use the spherical (or I guess if you are doing 2-D, cylindrical) form of the boundary-layer equations.
 

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