Numerical Study of a Research Circulation Control Airfoil Using Navier-Stokes Methods

The compressible Reynolds time-averaged Navier-Stokes equations were used to obtain solutions for flows about a two-dimensiona l circulation control airfoil. The governing equations were written in conservation form for a body-fitted coordinate system and solved using an alternating direction implicit (ADI) procedure. A modified algebraic eddy viscosity model was used to define the turbulent characteristics of the flow, including the wall jet flow over the Coanda surface at the trailing edge. Numerical results are compared to experimental data obtained for a research circulation control airfoil geometry. Excellent agreement with the experimental results was obtained.

[1]  I. C. Cheeseman,et al.  The Application of Circulation Control by Blowing to Helicopter Rotors , 1967, The Journal of the Royal Aeronautical Society.

[2]  F. Dvorak,et al.  An analysis method for the viscous flow over circulation-controlled airfoils , 1978 .

[3]  A. Jameson,et al.  Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes , 1981 .

[4]  H. Berman.  A Navier-Stokes investigation of a circulation control airfoil , 1985 .

[5]  D. Choi,et al.  Analysis of Circulation-Controlled Airfoils in Transonic Flow , 1983 .

[6]  G. Shrewsbury.  Analysis of circulation control airfoils using an implicit Navier-Stokes solver , 1985 .

[7]  R. J. Englar,et al.  Test Techniques for High-Lift, Two-Dimensional Airfoils with Boundary Layer and Circulation Control for Application to Rotary Wing Aircraft. , 1975 .

[8]  W. Rodi,et al.  Calculation of curved shear layers with two‐equation turbulence models , 1983 .

[9]  W. Briley,et al.  An Implicit Numerical Method for the Multidimensional Compressible Navier-Stokes Equations. , 1973 .

[10]  C. Novak,et al.  An LDV investigation of a circulation control airfoil flowfield , 1986 .

[11]  N. Sankar,et al.  Reynolds number and compressibility effects on dynamic stall of a NACA 0012 airfoil , 1980 .

[12]  N. Wood,et al.  The performance of a circulation control airfoil at transonic speeds , 1983 .

[13]  J. Steger.  Implicit Finite-Difference Simulation of Flow about Arbitrary Two-Dimensional Geometries , 1978 .

[14]  R. Kind.  A Calculation Method for Circulation Control by Tangential Blowing Around a Bluff Trailing Edge , 1968 .

[15]  Richard J Goldstein,et al.  Turbulent wall jets with cylindrical streamwise surface curvature , 1976 .

[16]  Timothy J. Barth,et al.  Navier-Stokes computations for circulation controlled airfoils , 1985 .

[17]  H. Lomax,et al.  Thin-layer approximation and algebraic model for separated turbulent flows , 1978 .

[18]  G. Shrewsbury,et al.  Numerical evaluation of circulation control airfoil performance using Navier-Stokes methods , 1986 .

[19]  P. D. Thomas,et al.  Construction of composite three dimensional grids from subregion grids generated by elliptic systems , 1981 .

[20]  J. Loth,et al.  Circulation controlled STOL wing optimization , 1984 .

[21]  R. F. Warming,et al.  An Implicit Factored Scheme for the Compressible Navier-Stokes Equations , 1977 .

[22]  Robert J. Englar,et al.  Development of Advanced Circulation Control Wing High Lift Airfoils , 1983 .

[23]  R. Englar.  Two-Dimensional Subsonic Wind Tunnel Tests of Two 15-Percent Thick Circulation Control Airfoils , 1971 .

[24]  C. Novak,et al.  Experimental investigations of the circular wall jet on a circulation control airfoil , 1987 .

[25]  J. Abramson,et al.  High-speed characteristics of circulation control airfoils , 1983 .

[26]  David H. Rudy,et al.  A nonreflecting outflow boundary condition for subsonic navier-stokes calculations , 1980 .

[27]  J. Douglas,et al.  A general formulation of alternating direction methods , 1964 .

[28]  P. D. Thomas,et al.  Composite Three-Dimensional Grids Generated by Elliptic Systems , 1982 .

[29]  N. Ness,et al.  Analysis of circulation controlled airfoils , 1976 .