Spectral calculations of the spatial stability of nonparallel boundary layers
Abstract
The linear spatial stability of the Blasius boundary layer is considered. The semiinfinite domain is transformed to a finite domain for calculation. The solution is then obtained by expansion in Chebyshev polynomials. This results in a nonlinear (in the parameter) eigenvalue problem. In the first part of the paper, the eigenvalue spectrum is computed using the parallel flow approximation. The neutral stability curve and eigenfunctions are also found. In the second part, the firstorder effects of boundary layer growth are included. The method of multiple scales is used and the method of solution uses a matrix approach. The advantages of this method are discussed and some calculations of nonparallel flow effects are included.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1984
 Bibcode:
 1984aiaa.meetRR...M
 Keywords:

 Blasius Flow;
 Boundary Layer Stability;
 Boundary Layer Transition;
 Computational Fluid Dynamics;
 Chebyshev Approximation;
 Flow Distortion;
 Flow Velocity;
 Linear Equations;
 OrrSommerfeld Equations;
 Parallel Flow;
 Spectrum Analysis;
 Fluid Mechanics and Heat Transfer