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A similarity solution of the Navier-Stokes equations with wall catalysis and slip for hypersonic, low Reynolds number flow over spheresThe slip conditions for a multicomponent mixture with diffusion, wall-catalyzed atom recombination and thermal radiation are derived. The more realistic multicomponent species slip conditions are shown to be necessary for accurate merged shock layer solutions on a sphere. These slip conditions are used in a first-order similarity solution of the Navier-Stokes equations with nonequilibrium chemistry for the merged shock layer. Results of this quick numerical solution are compared with a time dependent solution around the sphere and with measured arc jet results at low Reynolds numbers. The similarity solution, unlike the time dependent solution, shows smooth radial profiles of the pressure and smooth variations of velocity slip, skin friction, temperature slip and heat transfer around the body. The present first-order similarity solution is valid up to 25 deg from the stagnation point and takes less than 1% of the computer time to run a time dependent scheme. The smaller stand-off distance obtained from the similarity solution is supported by experimental data. The measured heat flux is closer to the similarity solution than the time dependent method at the stagnation point and shows the proper variation with circumferential angle up to at least 40 deg.
Document ID
19750048839
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Hendricks, W. L.
(NASA Marshall Space Flight Center Systems Dynamics Laboratory, Huntsville, Ala., United States)
Date Acquired
August 8, 2013
Publication Date
May 1, 1975
Subject Category
Aerodynamics
Report/Patent Number
AIAA PAPER 75-675
Meeting Information
Meeting: American Institute of Aeronautics and Astronautics, Thermophysics Conference
Location: Denver, CO
Start Date: May 27, 1975
End Date: May 29, 1975
Sponsors: American Institute of Aeronautics and Astronautics
Accession Number
75A32911
Distribution Limits
Public
Copyright
Other

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