Injection-induced turbulence in stagnation-point boundary layers

A theory is developed for the stagnation point boundary layer with injection under the hypothesis that turbulence is produced at the wall by injection. From the existing experimental heat transfer rate data obtained in wind tunnels, the wall mixing length is deduced to be a product of a time constant and an injection velocity. The theory reproduces the observed increase in heat transfer rates at high injection rates. For graphite and carbon-carbon composite, the time constant is determined to be 0.0002 sec from the existing ablation data taken in an arc-jet tunnel and a balistic range.

[1]  J. Lundell,et al.  Ablation of ATJ Graphite at High Temperatures , 1973 .

[2]  J. Kestin.  The Effect of Free-Stream Turbulence on Heat Transfer Rates , 1966 .

[3]  D. Reda,et al.  Correlation of nosetip boundary-layer transition data measured in ballistics-range experiments , 1979 .

[4]  G. E. Kaattari.  Effects of mass addition on blunt-body boundary-layer transition and heat transfer , 1978 .

[5]  T. R. Galloway.  Enhancement of stagnation flow heat and mass transfer through interactions of free stream turbulence , 1973 .

[6]  M. J. Green,et al.  Numerical simulation of experiments in the Giant Planet Facility , 1979 .

[7]  F. Costello,et al.  The effect of free stream turbulence on the heat transfer from the stagnation point of a sphere , 1970 .

[8]  E. Bartlett,et al.  Heat-Transfer and Ablation-Rate Correlations for Re-Entry Heat-Shield and Nosetip Applications , 1973 .

[9]  P. Libby.  Interaction of a rough subliming surface and a laminar boundary layer , 1978 .

[10]  J. Lundell,et al.  The ablation of graphitic materials in the sublimation regime. , 1975 .

[11]  C. Park.  Stagnation-point ablation of carbonaceous flat disks. I Theory , 1983 .

[12]  R. M. Traci,et al.  Freestream Turbulence Effects on Stagnation Point Heat Transfer , 1975 .

[13]  V. Denny,et al.  Heat Transfer to Axisymmetric Bodies in Super- and Hypersonic Turbulent Streams , 1977 .

[14]  C. Park,et al.  Effects of atomic oxygen on graphite ablation , 1976 .

[15]  I. Catton,et al.  CALCULATION OF TURBULENT BOUNDARY LAYERS OVER FLAT PLATES WITH DIFFERENT PHENOMENOLOGICAL THEORIES OF TURBULENCE AND VARIABLE TURBULENT PRANDTL NUMBER , 1973 .

[16]  A. J. Laderman,et al.  Effect of mass addition on the boundary layer of a hemisphere at Mach 6 , 1976 .

[17]  Taoting Hsu,et al.  Viscous hypersonic flow: by William H. Dorrance. 334 pages, diagrams, 6 × 9 in. New York, McGraw-Hill Book Co., Inc., 1962. Price, $12.50 , 1963 .

[18]  C. Park,et al.  Stagnation-point ablation of carbonaceous flat disks. II Experiment , 1983 .