Engineering analysis of hypersonic lifting body windward surface inviscid and viscous flow fields at high angles of incidence

Author:

ADAMS, JR. J.1,MARTINDALE W.1

Affiliation:

1. ARO, Inc., von Karman Gas Dynamics Facility, Arnold Air Force Station, Tenn.

Publisher

American Institute of Aeronautics and Astronautics

Reference79 articles.

1. System for General Lifting Body Configurations at Incidence

2. where R = 1716 ft 2/sec 2-'R for air and R = 1776 v ft 2/sec 2-'R for nitrogen. Hence, under this as

3. where Cp = 6006 ftZ/secz-*R for air and Cp = fi 216 ft 2/sec 2-0R for nitrogen. is taken to obey Sutherland's law, which gives for air

4. 10-5 phtrn)5 io The lower enthalpy range corresponds to a temperature of about 540'R; the upper limit corresponds to the total enthalpy encountered by a vehicle traveling in the atmosphere at a velocity of about 29, 000 ft/sec. The pressure range encompasses reasonable combinations of flight velocity and altitude up to an altitude of about 250, 000 feet. Prandtl number variation in equilibrium air is taken to follow the so-called effective Prandtl number as correlated by Cohen.(19) It is to be emphasized that use of the effective Prandtl number requires the gas to be in local thermochemical equilibrium; a detailed discussion of this type approach and how it relates to the chemical reactions that take place during the dissociation and recombination of various chemical species across the boundary layer may be found in Ref. 19.

5. To apply the eddy viscosity-eddy thermal conductivity model discussed above to the present work, the energy equation (5) must be rewritten to replace the total turbulent energy flux Fv'H in terms of static quantities. By following the steps outlined onpages116-183inDorrance,(28) one can see that the energy equation (5) may be written in the equivalent form

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