Engineering flowfield method with angle-of-attack applications

An approximate inviscid flowfield method has been extended to include heat-transfer predictions and a technique to account for the effect of variable-entr opy edge conditions on the heat transfer. Results of the approximate code have been validated by comparison with experimental data and results of detailed predictions. The engineering code computes the inviscid tlowfield and convective heating over hyperboloids, ellipsoids, paraboloids, and sphere-cones at zero deg angle of attack (AOA). An application to angle-of-atta ck conditions is included in the present method by using existing approximations to: 1) account for the streamline-spreading effects on the heat transfer along the windward and leeward rays of sphere-cones and 2) to compute the corresponding circumferential heating. Present results of the engineering calculations are shown to be in good agreement with existing pressure and heating data over sphere-cones, even at high incidence values, with the restriction that the sonic-line location remain on the spherical cap. The present technique has been demonstrated to provide a rapid but reliable method for predicting surface-measurable quantities and flow properties through the shock layer. The code represents a versatile engineering method for parametric or preliminary thermal design studies.

[1]  S. Lubard,et al.  Viscous Flow over Arbitrary Geometries at High Angle of Attack , 1980 .

[2]  F. R. Riddell,et al.  Theory of Stagnation Point Heat Transfer in Dissociated Air , 1958 .

[3]  M. H. Bertram,et al.  Engineering prediction of turbulent skin friction and heat transfer in high-speed flow , 1974 .

[4]  L. Boney,et al.  A simple integral method for the calculation of real-gas turbulent boundary layers with variable edge entropy , 1971 .

[5]  T. Harris An efficient method for supersonic viscous flow field calculations , 1983 .

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

[7]  P. B. Chiu,et al.  Numerical Computations of Orbiter Flowfields and Laminar Heating Rates , 1977 .

[8]  D. Bushnell,et al.  POWER-LAW VELOCITY-PROFILE-EXPONENT VARIATIONS WITH REYNOLDS NUMBER, WALL COOLING, AND MACH NUMBER IN A TURBULENT BOUNDARY LAYER , 1970 .

[9]  R. M. Davis,et al.  A simplified method for calculating laminar heat transfer over bodies at an angle of attack , 1968 .

[10]  G. Widhopf Turbulent HeatmTransfer Measurements on a Blunt Cone at Angle of Attack , 1971 .

[11]  R. A. Falanga,et al.  An approximate inviscid radiating flow-field analysis for sphere-cone Venusian entry vehicles , 1974 .

[12]  A. Mayne Calculation of the Boundary-Layer Flow in the Windward Symmetry Plane of a Spherically Blunted Axisymmetric Body at Angle of Attack, Including Streamline-Swallowing Effects , 1973 .

[13]  Roberto Vaglio-Laurin,et al.  Turbulent Heat Transfer on Blunt-Nosed Bodies in Two-Dimensional and General Three-Dimensional Hypersonic Flow , 1960 .

[14]  D. B. Spalding,et al.  The drag of a compressible turbulent boundary layer on a smooth flat plate with and without heat transfer , 1964, Journal of Fluid Mechanics.

[15]  S. H. Maslen Inviscid hypersonic flow past smooth symmetric bodies , 1964 .

[16]  Peter H. Rose,et al.  Laminar Heat Transfer Around Blunt Bodies in Dissociated Air , 1959 .

[17]  K. Sutton Fully coupled nongray radiating gas flows with ablation product effects about planetary entry bodies. , 1973 .

[18]  J. W. Cleary Effects of angle of attack and bluntness on the shock-layer properties of a 15 deg cone at a Mach number of 10.6 , 1968 .

[19]  J. W. Cleary,et al.  Effects of angle of attack and bluntness on laminar heating-rate distributions of a 15 deg cone at a Mach number of 10.6 , 1969 .

[20]  C. E. Duller,et al.  Effects of angle of attack and bluntness on the hypersonic flow over a 15 deg semiapex cone in helium , 1970 .

[21]  K. Sutton Characteristics of Coupled Nongray Radiating Gas Flows with Ablation Product Effects About Blunt Bodies During Planetary Entries. Ph.D. Thesis - North Carolina State Univ. , 1973 .

[22]  E. V. Zoby Approximate heating analysis for the windward-symmetry plane of Shuttle-like bodies at large angle of attack , 1981 .

[23]  K. Sutton,et al.  A general stagnation-point convective heating equation for arbitrary gas mixtures , 1971 .

[24]  P. Gnoffo,et al.  An experimental investigation of hypersonic flow over biconics at incidence and comparison to prediction , 1982 .

[25]  E. V. Zoby Approximate relations for laminar heat-transfer and shear-stress functions in equilibrium dissociated air , 1968 .

[26]  A. Mayne Calculation of the Laminar Viscous Shock Layer on a Blunt Biconic Body at Incidence to Supersonic and Hypersonic Flow , 1977 .

[27]  E. V. Zoby,et al.  Thermodynamic Equilibrium-Air Correlations for Flowfield Applications , 1981 .

[28]  Robert J. Cresci,et al.  An Investigation of Laminar, Transitional, and Turbulent Heat Transfer on Blunt-Nosed Bodies in Hypersonic Flow , 1960 .

[29]  Roberto Vaglio-Laurin Laminar Heat Transfer on Three-Dimensional Blunt Nosed Bodies in Hypersonic Flow , 1959 .

[30]  P. A. Gnoffo Hypersonic flows over biconics using a variable-effective-gamma, Parabolized-Navier-Stokes code , 1983 .

[31]  G. Widhopf,et al.  A two-layer model for coupled three-dimensional viscous and inviscid flow calculations , 1981 .

[32]  J. Moss Stagnation and downstream viscous shock-layer solutions with radiation and coupled ablation injection , 1974 .

[33]  John C. Adams,et al.  Implicit Finite-Difference Analysis of Compressible Laminar, Transitional, and Turbulent Boundary Layers along the Windward Streamline of a Sharp Cone at Incidence , 1971 .

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

[35]  P. C. Stainback,et al.  Effect of unit Reynolds number, nose bluntness, angle of attack, and roughness on transition on a 5 deg half-angle cone at Mach 8 , 1969 .

[36]  S. Kutateladze,et al.  Turbulent Boundary Layers in Compressible Gases , 1965, Nature.

[37]  E. V. Zoby,et al.  Analysis of STS-2 experimental heating rates and transition data , 1982 .

[38]  H. Harris Hamilton,et al.  Aerodynamic Heating on 3-D Bodies Including the Effects of Entropy-Layer Swallowing , 1975 .

[39]  K. Sutton,et al.  Approximate Convective-Heating Equations for Hypersonic Flows , 1981 .

[40]  J. W. Cleary,et al.  An experimental and theoretical investigation of the pressure distribution and flow fields of blunted cones at hypersonic mach numbers , 1965 .

[41]  C. G. Miller Measured pressure distributions, aerodynamic coefficients and shock shapes on blunt bodies at incidence in hypersonic air and CF4 , 1982 .