Threedimensional unsteady viscous flow analysis over airfoil sections
Abstract
A threedimensional solution procedure for the approximate form of the NavierStokes equation was exercised in the two and threedimensional modes to compute the unsteady turbulent boundary layer on a flat plate corresponding to the data of Karlsson. The procedure is based on the use of a consistently split Linearized Block Implicit technique in conjunction with a QR operator scheme. New timedependent upstream boundary conditions were developed that yielded realistic solutions for the interior in the vicinity of the upstream boundary. Comparisons of the computation employing these boundary conditions with the data indicate that both qualitative and quantitative agreement was obtained for the mean velocity and the in phase and out of phase components of the first harmonic of the velocity. In addition, the calculation gave results for the skin friction phase angle that had expected physical behavior for large distances downstream of the inflow boundary. For the threedimensional case, the twodimensional data of Karlsson was considered, but in a coordinate system skewed at 45 deg to the free stream direction. The results of the calculations were in excellent agreement with the data and the twodimensional computations.
 Publication:

Final Report Scientific Research Associates
 Pub Date:
 June 1984
 Bibcode:
 1984srai.rept.....W
 Keywords:

 Airfoils;
 Flat Plates;
 NavierStokes Equation;
 Turbulent Boundary Layer;
 Unsteady Flow;
 Viscous Flow;
 Comparison;
 Flow Velocity;
 Free Flow;
 Skin Friction;
 Three Dimensional Flow;
 Time Dependence;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer