Chemical equilibrium laminar or turbulent three-dimensional viscous shock-layer flows

A computational method has been developed to predict three-dimensional hypersonic laminar or turbulent shock-layer flows for perfect gas or equilibrium air. A two-layer eddy-viscosity model is used for the turbulent regime. The thermodynamic and transport properties for air are obtained by interpolation within a twodimensional table or from curve-fit data. Comparisons are made for air in chemical equilibrium and perfect gas for laminar and turbulent flow over a 7-deg half-angle spherically blunted cone at various flight altitudes with a cold, moderately cool, and an adiabatic wall for angles of attack up to 20 deg. Surface pressure and wall heattransfer distributions, force and moment coefficients, and execution times are compared for some sample cases. This method can be used to predict viscous flowfields in chemical equilibrium over axisymmetric re-entry vehicles at angles of attack up to 25 deg.

[1]  P. S. Klebanoff,et al.  Characteristics of turbulence in a boundary layer with zero pressure gradient , 1955 .

[2]  E. Anderson,et al.  Turbulent Viscous-Shock-Layer Solutions with Strong Vorticity Interaction , 1976 .

[3]  C. Frederick Hansen,et al.  Approximations for the thermodynamic and transport properties of high-temperature air , 1958 .

[4]  E. Anderson,et al.  A computer program for two-dimensional and axisymmetric nonreacting perfect gas and equilibrium chemically reacting laminar, transitional and-or turbulent boundary layer flows , 1971 .

[5]  P. Libby,et al.  Analysis of Turbulent Boundary Layers , 1974 .

[6]  F. White.  Viscous Fluid Flow , 1974 .

[7]  J. R. Moselle,et al.  Computer program for the numerical solution of nonequilibrium expansions of reacting gas mixtures , 1966 .

[8]  F. Clauser.  The Turbulent Boundary Layer , 1956 .

[9]  Clark H. Lewis,et al.  Hypersonic Three-Dimensional Viscous Shock-Layer Flows over Blunt Bodies , 1978 .

[10]  Clark H. Lewis,et al.  Three-Dimensional Hypersonic Laminar, Transitional, and/or Turbulent Shock-Layer Flows , 1982 .

[11]  William S. Helliwell,et al.  Calculation of the Flow on a Cone at High Angle of Attack , 1973 .

[12]  R. Davis,et al.  Numerical solution of the hypersonic viscous shock-layer equations , 1970 .

[13]  W. E. Moeckel,et al.  Composition and thermodynamic properties of air in chemical equilibrium , 1958 .

[14]  Tuncer Cebeci,et al.  Behavior of turbulent flow near a porous wall with pressure gradient , 1970 .

[15]  Roddam Narasimha,et al.  Some properties of boundary layer flow during the transition from laminar to turbulent motion , 1958, Journal of Fluid Mechanics.