Viscous Flow over Arbitrary Geometries at High Angle of Attack

This paper presents a numerical method for obtaining the supersonic, laminar viscous flow about arbitrary geometries without compression surfaces at high angle of attack. In particular, results are presented for blunt biconic bodies with windward and leeward cuts. The basic approach used is to solve...

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Bibliographic Details
Main Authors: Helliwell,William S, Dickinson,Richard P, Lubard,Stephen C
Format: Report
Language:English
Subjects:
ANGLE OF ATTACK
BLUNT BODIES
CONICAL BODIES
Fluid Mechanics
LAMINAR FLOW
MATHEMATICAL MODELS
NAVIER STOKES EQUATIONS
Numerical Mathematics
Parabolized Navier-Stokes equations
SUPERSONIC FLOW
THREE DIMENSIONAL
VISCOUS FLOW
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Summary:This paper presents a numerical method for obtaining the supersonic, laminar viscous flow about arbitrary geometries without compression surfaces at high angle of attack. In particular, results are presented for blunt biconic bodies with windward and leeward cuts. The basic approach used is to solve the steady three-dimensional 'Parabolized Navier-Stokes Equations' (PNS), first derived for circular cones by Lubard and Helliwell. These equations have been used to predict the flowfield for a variety of different problems, including flow over sharp and blunt cones at angle of attack up to 40 deg, flow over spinning cones at angle of attack, and flow over cones with mass transfer and temperature variations at the surface. In addition to these results which were confined to circular cones, some limited results have been obtained for biconic geometries, non-circular cones and the NASA space shuttle.