Finite-Difference Solution for Laminar or Turbulent Boundary Layer Flow over Axisymmetric Bodies with Ideal Gas, CF4, or Equilibrium Air Chemistry

A computer code was developed that uses an implicit finite-difference technique to solve nonsimilar, axisymmetric boundary layer equations for both laminar and turbulent flow. The code can treat ideal gases, air in chemical equilibrium, and carbon tetrafluoride (CF4), which is a useful gas for hypersonic blunt-body simulations. This is the only known boundary layer code that can treat CF4. Comparisons with experimental data have demonstrated that accurate solutions are obtained. The method should prove useful as an analysis tool for comparing calculations with wind tunnel experiments and for making calculations about flight vehicles where equilibrium air chemistry assumptions are valid.

[1]  J. Adams,et al.  Streamline Swallowing by Laminar Boundary Layers in Hypersonic Flow , 1971 .

[2]  K. Stewartson.  Viscous Hypersonic Flow Past a Slender Cone , 1964 .

[3]  R. D. Richtmyer,et al.  Difference methods for initial-value problems , 1959 .

[4]  F. Blottner,et al.  FINITE DIFFERENCE METHODS OF SOLUTION OF THE BOUNDARY-LAYER EQUATIONS , 1970 .

[5]  Kenneth Weilmuenster,et al.  Application of axisymmetric analogue for calculating heating in three-dimensional flows , 1985 .

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

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

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

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

[10]  F. Blottner,et al.  COMPUTATION OF THE COMPRESSIBLE LAMINAR BOUNDARY-LAYER FLOW INCLUDING DISPLACEMENT-THICKNESS INTERACTION USING FINITE-DIFFERENCE METHODS , 1962 .

[11]  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 .

[12]  D. Spalding,et al.  Heat and Mass Transfer in Boundary Layers. 2nd edition. By S. V. PATANKAR and D. B. SPALDING. Intertext Books, 1970. 255 pp. £6. , 1971, Journal of Fluid Mechanics.

[13]  F. G. Blottner,et al.  Chemical nonequilibrium boundary layer , 1964 .

[14]  J. E. Harris.  Numerical solution of the equations for compressible laminar, transitional, and turbulent boundary layers and comparisons with experimental data , 1971 .

[15]  E. R. V. Driest.  On Turbulent Flow Near a Wall , 1956 .

[16]  E. Clay Anderson,et al.  Laminar or turbulent boundary-layer flows of perfect gases or reacting gas mixtures in chemical equilibrium , 1971 .